32,744,020

2² × 5 × 769 × 2129

32,744,020 factors as 2^2 × 5 × 769 × 2129. Its 24 positive divisors give a proper-divisor sum of 36,140,180, so this integer is abundant. The Collatz stopping time is 232 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 769 × 2129

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 68,884,200

Proper Divisor Sum 36,140,180

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #32744017 ← → #32744051

Radix Representation

Decimal	32744020
Binary	1111100111010001001010100 (25 bits)
Octal	0o174721124
Hexadecimal	0x1F3A254

Divisor Catalog (24)

Collatz Trajectory (232 steps to reach 1)

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

32,744,020 16,372,010 8,186,005 24,558,016 12,279,008 6,139,504 3,069,752 1,534,876 767,438 383,719 1,151,158 575,579 1,726,738 863,369 2,590,108 1,295,054 647,527 1,942,582 971,291 2,913,874 1,456,937 4,370,812 2,185,406 1,092,703 3,278,110 1,639,055 4,917,166 2,458,583 7,375,750 3,687,875 11,063,626 5,531,813 16,595,440 8,297,720 4,148,860 2,074,430 1,037,215 3,111,646 1,555,823 4,667,470 2,333,735 7,001,206 3,500,603 10,501,810 5,250,905 15,752,716 7,876,358 3,938,179 11,814,538 5,907,269 17,721,808 8,860,904 4,430,452 2,215,226 1,107,613 3,322,840 1,661,420 830,710 415,355 1,246,066

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