360,312

2³ × 3 × 15013

360,312 factors as 2^3 × 3 × 15013. Its 16 positive divisors give a proper-divisor sum of 540,528, so this integer is abundant. The Collatz stopping time is 202 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 15013

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 900,840

Proper Divisor Sum 540,528

Digit Sum / Digital Root 15 (Root: 6)

Adjacent Primes #360307 ← → #360317

Radix Representation

Decimal	360312
Binary	1010111111101111000 (19 bits)
Octal	0o1277570
Hexadecimal	0x57F78

Divisor Catalog (16)

1 2 3 4 6 8 12 24 15,013 30,026 45,039 60,052 90,078 120,104 180,156 360,312

Collatz Trajectory (202 steps to reach 1)

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

360,312 180,156 90,078 45,039 135,118 67,559 202,678 101,339 304,018 152,009 456,028 228,014 114,007 342,022 171,011 513,034 256,517 769,552 384,776 192,388 96,194 48,097 144,292 72,146 36,073 108,220 54,110 27,055 81,166 40,583 121,750 60,875 182,626 91,313 273,940 136,970 68,485 205,456 102,728 51,364 25,682 12,841 38,524 19,262 9,631 28,894 14,447 43,342 21,671 65,014 32,507 97,522 48,761 146,284 73,142 36,571 109,714 54,857 164,572 82,286

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