32,004,336

2⁴ × 3 × 7 × 13 × 17 × 431

32,004,336 factors as 2^4 × 3 × 7 × 13 × 17 × 431. Its 160 positive divisors give a proper-divisor sum of 75,988,752, so this integer is abundant. The Collatz stopping time is 126 steps.

Prime Factor Structure

Factorization String 2^4 × 3 × 7 × 13 × 17 × 431

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 160

Divisor Sum (σ) 107,993,088

Proper Divisor Sum 75,988,752

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #32004289 ← → #32004337

Radix Representation

Decimal	32004336
Binary	1111010000101100011110000 (25 bits)
Octal	0o172054360
Hexadecimal	0x1E858F0

Divisor Catalog (60 of 160)

1 2 3 4 6 7 8 12 13 14 16 17 21 24 26 28 34 39 42 48 51 52 56 68 78 84 91 102 104 112 119 136 156 168 182 204 208 221 238 272 273 312 336 357 364 408 431 442 476 546 624 663 714 728 816 862 884 952 1,092 1,293

Collatz Trajectory (126 steps to reach 1)

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

32,004,336 16,002,168 8,001,084 4,000,542 2,000,271 6,000,814 3,000,407 9,001,222 4,500,611 13,501,834 6,750,917 20,252,752 10,126,376 5,063,188 2,531,594 1,265,797 3,797,392 1,898,696 949,348 474,674 237,337 712,012 356,006 178,003 534,010 267,005 801,016 400,508 200,254 100,127 300,382 150,191 450,574 225,287 675,862 337,931 1,013,794 506,897 1,520,692 760,346 380,173 1,140,520 570,260 285,130 142,565 427,696 213,848 106,924 53,462 26,731 80,194 40,097 120,292 60,146 30,073 90,220 45,110 22,555 67,666 33,833

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