29,985,015

3 × 5 × 53 × 37717

29,985,015 factors as 3 × 5 × 53 × 37717. Its 16 positive divisors give a proper-divisor sum of 18,897,513, so this integer is deficient. The Collatz stopping time is 69 steps.

Prime Factor Structure

Factorization String 3 × 5 × 53 × 37717

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 48,882,528

Proper Divisor Sum 18,897,513

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #29984989 ← → #29985023

Radix Representation

Decimal	29985015
Binary	1110010011000100011110111 (25 bits)
Octal	0o162304367
Hexadecimal	0x1C988F7

Divisor Catalog (16)

1 3 5 15 53 159 265 795 37,717 113,151 188,585 565,755 1,999,001 5,997,003 9,995,005 29,985,015

Collatz Trajectory (69 steps to reach 1)

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

29,985,015 89,955,046 44,977,523 134,932,570 67,466,285 202,398,856 101,199,428 50,599,714 25,299,857 75,899,572 37,949,786 18,974,893 56,924,680 28,462,340 14,231,170 7,115,585 21,346,756 10,673,378 5,336,689 16,010,068 8,005,034 4,002,517 12,007,552 6,003,776 3,001,888 1,500,944 750,472 375,236 187,618 93,809 281,428 140,714 70,357 211,072 105,536 52,768 26,384 13,192 6,596 3,298 1,649 4,948 2,474 1,237 3,712 1,856 928 464 232 116 58 29 88 44 22 11 34 17 52 26

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