36,948,819

3 × 509 × 24197

36,948,819 factors as 3 × 509 × 24197. Its 8 positive divisors give a proper-divisor sum of 12,415,101, so this integer is deficient. The Collatz stopping time is 227 steps.

Prime Factor Structure

Factorization String 3 × 509 × 24197

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 49,363,920

Proper Divisor Sum 12,415,101

Digit Sum / Digital Root 48 (Root: 3)

Adjacent Primes #36948811 ← → #36948827

Radix Representation

Decimal	36948819
Binary	10001100111100101101010011 (26 bits)
Octal	0o214745523
Hexadecimal	0x233CB53

Divisor Catalog (8)

1 3 509 1,527 24,197 72,591 12,316,273 36,948,819

Collatz Trajectory (227 steps to reach 1)

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

36,948,819 110,846,458 55,423,229 166,269,688 83,134,844 41,567,422 20,783,711 62,351,134 31,175,567 93,526,702 46,763,351 140,290,054 70,145,027 210,435,082 105,217,541 315,652,624 157,826,312 78,913,156 39,456,578 19,728,289 59,184,868 29,592,434 14,796,217 44,388,652 22,194,326 11,097,163 33,291,490 16,645,745 49,937,236 24,968,618 12,484,309 37,452,928 18,726,464 9,363,232 4,681,616 2,340,808 1,170,404 585,202 292,601 877,804 438,902 219,451 658,354 329,177 987,532 493,766 246,883 740,650 370,325 1,110,976 555,488 277,744 138,872 69,436 34,718 17,359 52,078 26,039 78,118 39,059

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