364,956

2² × 3 × 17 × 1789

364,956 has digital root 6. The neighboring primes are 364943 and 364961; its proper-divisor sum differs from the starting integer by 172,248.

Prime Factor Structure

Factorization String 2^2 × 3 × 17 × 1789

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 902,160

Proper Divisor Sum 537,204

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #364943 ← → #364961

Radix Representation

Decimal	364956
Binary	1011001000110011100 (19 bits)
Octal	0o1310634
Hexadecimal	0x5919C

Divisor Catalog (24)

1 2 3 4 6 12 17 34 51 68 102 204 1,789 3,578 5,367 7,156 10,734 21,468 30,413 60,826 91,239 121,652 182,478 364,956

Collatz Trajectory (104 steps to reach 1)

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

364,956 182,478 91,239 273,718 136,859 410,578 205,289 615,868 307,934 153,967 461,902 230,951 692,854 346,427 1,039,282 519,641 1,558,924 779,462 389,731 1,169,194 584,597 1,753,792 876,896 438,448 219,224 109,612 54,806 27,403 82,210 41,105 123,316 61,658 30,829 92,488 46,244 23,122 11,561 34,684 17,342 8,671 26,014 13,007 39,022 19,511 58,534 29,267 87,802 43,901 131,704 65,852 32,926 16,463 49,390 24,695 74,086 37,043 111,130 55,565 166,696 83,348

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