36,929,592

2³ × 3² × 7 × 47 × 1559

36,929,592 factors as 2^3 × 3^2 × 7 × 47 × 1559. Its 96 positive divisors give a proper-divisor sum of 79,883,208, so this integer is abundant. The Collatz stopping time is 165 steps.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 7 × 47 × 1559

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 116,812,800

Proper Divisor Sum 79,883,208

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #36929591 ← → #36929603

Radix Representation

Decimal	36929592
Binary	10001100111000000000111000 (26 bits)
Octal	0o214700070
Hexadecimal	0x2338038

Divisor Catalog (60 of 96)

1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 47 56 63 72 84 94 126 141 168 188 252 282 329 376 423 504 564 658 846 987 1,128 1,316 1,559 1,692 1,974 2,632 2,961 3,118 3,384 3,948 4,677 5,922 6,236 7,896 9,354 10,913 11,844 12,472 14,031 18,708 21,826 23,688 28,062 32,739

Collatz Trajectory (165 steps to reach 1)

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

36,929,592 18,464,796 9,232,398 4,616,199 13,848,598 6,924,299 20,772,898 10,386,449 31,159,348 15,579,674 7,789,837 23,369,512 11,684,756 5,842,378 2,921,189 8,763,568 4,381,784 2,190,892 1,095,446 547,723 1,643,170 821,585 2,464,756 1,232,378 616,189 1,848,568 924,284 462,142 231,071 693,214 346,607 1,039,822 519,911 1,559,734 779,867 2,339,602 1,169,801 3,509,404 1,754,702 877,351 2,632,054 1,316,027 3,948,082 1,974,041 5,922,124 2,961,062 1,480,531 4,441,594 2,220,797 6,662,392 3,331,196 1,665,598 832,799 2,498,398 1,249,199 3,747,598 1,873,799 5,621,398 2,810,699 8,432,098

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