36,936,948

2² × 3 × 491 × 6269

36,936,948 factors as 2^2 × 3 × 491 × 6269. Its 24 positive divisors give a proper-divisor sum of 49,438,572, so this integer is abundant. The Collatz stopping time is 108 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 491 × 6269

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 86,375,520

Proper Divisor Sum 49,438,572

Digit Sum / Digital Root 48 (Root: 3)

Adjacent Primes #36936947 ← → #36936959

Radix Representation

Decimal	36936948
Binary	10001100111001110011110100 (26 bits)
Octal	0o214716364
Hexadecimal	0x2339CF4

Divisor Catalog (24)

Collatz Trajectory (108 steps to reach 1)

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

36,936,948 18,468,474 9,234,237 27,702,712 13,851,356 6,925,678 3,462,839 10,388,518 5,194,259 15,582,778 7,791,389 23,374,168 11,687,084 5,843,542 2,921,771 8,765,314 4,382,657 13,147,972 6,573,986 3,286,993 9,860,980 4,930,490 2,465,245 7,395,736 3,697,868 1,848,934 924,467 2,773,402 1,386,701 4,160,104 2,080,052 1,040,026 520,013 1,560,040 780,020 390,010 195,005 585,016 292,508 146,254 73,127 219,382 109,691 329,074 164,537 493,612 246,806 123,403 370,210 185,105 555,316 277,658 138,829 416,488 208,244 104,122 52,061 156,184 78,092 39,046

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