56,724,448

2⁵ × 11 × 161149

56,724,448 factors as 2^5 × 11 × 161149. Its 24 positive divisors give a proper-divisor sum of 65,104,952, so this integer is abundant. The Collatz stopping time is 238 steps.

Prime Factor Structure

Factorization String 2^5 × 11 × 161149

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 121,829,400

Proper Divisor Sum 65,104,952

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #56724433 ← → #56724457

Radix Representation

Decimal	56724448
Binary	11011000011000101111100000 (26 bits)
Octal	0o330305740
Hexadecimal	0x3618BE0

Divisor Catalog (24)

Collatz Trajectory (238 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

56,724,448 28,362,224 14,181,112 7,090,556 3,545,278 1,772,639 5,317,918 2,658,959 7,976,878 3,988,439 11,965,318 5,982,659 17,947,978 8,973,989 26,921,968 13,460,984 6,730,492 3,365,246 1,682,623 5,047,870 2,523,935 7,571,806 3,785,903 11,357,710 5,678,855 17,036,566 8,518,283 25,554,850 12,777,425 38,332,276 19,166,138 9,583,069 28,749,208 14,374,604 7,187,302 3,593,651 10,780,954 5,390,477 16,171,432 8,085,716 4,042,858 2,021,429 6,064,288 3,032,144 1,516,072 758,036 379,018 189,509 568,528 284,264 142,132 71,066 35,533 106,600 53,300 26,650 13,325 39,976 19,988 9,994

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