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Atlas › Integer Profiles › Node 39,194,792

39,194,792

23 × 7 × 13 × 17 × 3167
Abundant Even Composite

39,194,792 factors as 2^3 × 7 × 13 × 17 × 3167. Its 64 positive divisors give a proper-divisor sum of 56,605,528, so this integer is abundant. The Collatz stopping time is 90 steps.

Prime Factor Structure

Factorization String 2^3 × 7 × 13 × 17 × 3167
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 95,800,320
Proper Divisor Sum 56,605,528
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #39194789 ← → #39194797

Radix Representation

Decimal 39194792
Binary 10010101100001000010101000 (26 bits)
Octal 0o225410250
Hexadecimal 0x25610A8

Divisor Catalog (60 of 64)

1 2 4 7 8 13 14 17 26 28 34 52 56 68 91 104 119 136 182 221 238 364 442 476 728 884 952 1,547 1,768 3,094 3,167 6,188 6,334 12,376 12,668 22,169 25,336 41,171 44,338 53,839 82,342 88,676 107,678 164,684 177,352 215,356 288,197 329,368 376,873 430,712 576,394 699,907 753,746 1,152,788 1,399,814 1,507,492 2,305,576 2,799,628 3,014,984 4,899,349

Collatz Trajectory (90 steps to reach 1)

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

39,194,792 19,597,396 9,798,698 4,899,349 14,698,048 7,349,024 3,674,512 1,837,256 918,628 459,314 229,657 688,972 344,486 172,243 516,730 258,365 775,096 387,548 193,774 96,887 290,662 145,331 435,994 217,997 653,992 326,996 163,498 81,749 245,248 122,624 61,312 30,656 15,328 7,664 3,832 1,916 958 479 1,438 719 2,158 1,079 3,238 1,619 4,858 2,429 7,288 3,644 1,822 911 2,734 1,367 4,102 2,051 6,154 3,077 9,232 4,616 2,308 1,154

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