36,976,017

3 × 13² × 72931

36,976,017 factors as 3 × 13^2 × 72931. Its 12 positive divisors give a proper-divisor sum of 16,410,207, so this integer is deficient. The Collatz stopping time is 165 steps.

Prime Factor Structure

Factorization String 3 × 13^2 × 72931

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 53,386,224

Proper Divisor Sum 16,410,207

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #36976007 ← → #36976021

Radix Representation

Decimal	36976017
Binary	10001101000011010110010001 (26 bits)
Octal	0o215032621
Hexadecimal	0x2343591

Divisor Catalog (12)

1 3 13 39 169 507 72,931 218,793 948,103 2,844,309 12,325,339 36,976,017

Collatz Trajectory (165 steps to reach 1)

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

36,976,017 110,928,052 55,464,026 27,732,013 83,196,040 41,598,020 20,799,010 10,399,505 31,198,516 15,599,258 7,799,629 23,398,888 11,699,444 5,849,722 2,924,861 8,774,584 4,387,292 2,193,646 1,096,823 3,290,470 1,645,235 4,935,706 2,467,853 7,403,560 3,701,780 1,850,890 925,445 2,776,336 1,388,168 694,084 347,042 173,521 520,564 260,282 130,141 390,424 195,212 97,606 48,803 146,410 73,205 219,616 109,808 54,904 27,452 13,726 6,863 20,590 10,295 30,886 15,443 46,330 23,165 69,496 34,748 17,374 8,687 26,062 13,031 39,094

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