31,644,784

2⁴ × 41 × 48239

31,644,784 factors as 2^4 × 41 × 48239. Its 20 positive divisors give a proper-divisor sum of 31,163,696, so this integer is deficient. The Collatz stopping time is 95 steps.

Prime Factor Structure

Factorization String 2^4 × 41 × 48239

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 62,808,480

Proper Divisor Sum 31,163,696

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #31644779 ← → #31644853

Radix Representation

Decimal	31644784
Binary	1111000101101110001110000 (25 bits)
Octal	0o170556160
Hexadecimal	0x1E2DC70

Divisor Catalog (20)

Collatz Trajectory (95 steps to reach 1)

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

31,644,784 15,822,392 7,911,196 3,955,598 1,977,799 5,933,398 2,966,699 8,900,098 4,450,049 13,350,148 6,675,074 3,337,537 10,012,612 5,006,306 2,503,153 7,509,460 3,754,730 1,877,365 5,632,096 2,816,048 1,408,024 704,012 352,006 176,003 528,010 264,005 792,016 396,008 198,004 99,002 49,501 148,504 74,252 37,126 18,563 55,690 27,845 83,536 41,768 20,884 10,442 5,221 15,664 7,832 3,916 1,958 979 2,938 1,469 4,408 2,204 1,102 551 1,654 827 2,482 1,241 3,724 1,862 931

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