36,747,752

2³ × 83 × 55343

36,747,752 factors as 2^3 × 83 × 55343. Its 16 positive divisors give a proper-divisor sum of 32,985,688, so this integer is deficient. The Collatz stopping time is 121 steps.

Prime Factor Structure

Factorization String 2^3 × 83 × 55343

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 69,733,440

Proper Divisor Sum 32,985,688

Digit Sum / Digital Root 41 (Root: 5)

Adjacent Primes #36747751 ← → #36747769

Radix Representation

Decimal	36747752
Binary	10001100001011100111101000 (26 bits)
Octal	0o214134750
Hexadecimal	0x230B9E8

Divisor Catalog (16)

1 2 4 8 83 166 332 664 55,343 110,686 221,372 442,744 4,593,469 9,186,938 18,373,876 36,747,752

Collatz Trajectory (121 steps to reach 1)

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

36,747,752 18,373,876 9,186,938 4,593,469 13,780,408 6,890,204 3,445,102 1,722,551 5,167,654 2,583,827 7,751,482 3,875,741 11,627,224 5,813,612 2,906,806 1,453,403 4,360,210 2,180,105 6,540,316 3,270,158 1,635,079 4,905,238 2,452,619 7,357,858 3,678,929 11,036,788 5,518,394 2,759,197 8,277,592 4,138,796 2,069,398 1,034,699 3,104,098 1,552,049 4,656,148 2,328,074 1,164,037 3,492,112 1,746,056 873,028 436,514 218,257 654,772 327,386 163,693 491,080 245,540 122,770 61,385 184,156 92,078 46,039 138,118 69,059 207,178 103,589 310,768 155,384 77,692 38,846

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