Integer Profile

7,628,733

3^2 × 7 × 17^2 × 419

Prime factors, divisor sums, positional representations and sequence properties for 7,628,733. The prime factorization is 3^2 × 7 × 17^2 × 419.

Number of positive divisors: 36. Showing the recorded part of the sequence: 155.

DeficientOddComposite

Prime factorization

Factorization: 3^2 × 7 × 17^2 × 419
Distinct prime factors: 4
Perfect square: No
Parity: Odd

Arithmetic properties

Positive divisors: 36
Divisor sum: 13,409,760
Proper-divisor sum: 5,781,027
Digit sum: 36
Digital root: 9

Number bases

Decimal: 7628733
Binary: 11101000110011110111101 (23 bits)
Octal: 0o35063675
Hexadecimal: 0x7467BD

Divisor catalog (36)

1379172151631191532893574198671,0711,2572,0232,6012,9333,7716,0697,1238,79918,20721,36926,39749,86164,107121,091149,583363,273448,749847,6371,089,8192,542,9117,628,733

Showing 36 of 36.

Collatz trajectory (155 steps)

Even: n → n/2; Odd: n → 3n + 1

7,628,73322,886,20011,443,1005,721,5502,860,7758,582,3264,291,16312,873,4906,436,74519,310,2369,655,1184,827,55914,482,6787,241,33921,724,01810,862,00932,586,02816,293,0148,146,50724,439,52212,219,76136,659,28418,329,6429,164,82127,494,46413,747,2326,873,6163,436,8081,718,404859,202429,6011,288,804644,402322,201966,604483,302241,651724,954362,4771,087,432543,716271,858135,929407,788203,894101,947305,842152,921458,764229,382114,691344,074172,037516,112258,056129,02864,51432,25796,77248,386

Showing 60 of 60.