36,802,416

2⁴ × 3 × 7 × 17² × 379

36,802,416 factors as 2^4 × 3 × 7 × 17^2 × 379. Its 120 positive divisors give a proper-divisor sum of 78,924,304, so this integer is abundant. The Collatz stopping time is 134 steps.

Prime Factor Structure

Factorization String 2^4 × 3 × 7 × 17^2 × 379

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 120

Divisor Sum (σ) 115,726,720

Proper Divisor Sum 78,924,304

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #36802391 ← → #36802417

Radix Representation

Decimal	36802416
Binary	10001100011000111101110000 (26 bits)
Octal	0o214307560
Hexadecimal	0x2318F70

Divisor Catalog (60 of 120)

1 2 3 4 6 7 8 12 14 16 17 21 24 28 34 42 48 51 56 68 84 102 112 119 136 168 204 238 272 289 336 357 379 408 476 578 714 758 816 867 952 1,137 1,156 1,428 1,516 1,734 1,904 2,023 2,274 2,312 2,653 2,856 3,032 3,468 4,046 4,548 4,624 5,306 5,712 6,064

Collatz Trajectory (134 steps to reach 1)

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

36,802,416 18,401,208 9,200,604 4,600,302 2,300,151 6,900,454 3,450,227 10,350,682 5,175,341 15,526,024 7,763,012 3,881,506 1,940,753 5,822,260 2,911,130 1,455,565 4,366,696 2,183,348 1,091,674 545,837 1,637,512 818,756 409,378 204,689 614,068 307,034 153,517 460,552 230,276 115,138 57,569 172,708 86,354 43,177 129,532 64,766 32,383 97,150 48,575 145,726 72,863 218,590 109,295 327,886 163,943 491,830 245,915 737,746 368,873 1,106,620 553,310 276,655 829,966 414,983 1,244,950 622,475 1,867,426 933,713 2,801,140 1,400,570

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