361,032

2³ × 3 × 7² × 307

361,032 factors as 2^3 × 3 × 7^2 × 307. Its 48 positive divisors give a proper-divisor sum of 692,328, so this integer is abundant. The Collatz stopping time is 117 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 7^2 × 307

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 1,053,360

Proper Divisor Sum 692,328

Digit Sum / Digital Root 15 (Root: 6)

Adjacent Primes #361013 ← → #361033

Radix Representation

Decimal	361032
Binary	1011000001001001000 (19 bits)
Octal	0o1301110
Hexadecimal	0x58248

Divisor Catalog (48)

1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 294 307 392 588 614 921 1,176 1,228 1,842 2,149 2,456 3,684 4,298 6,447 7,368 8,596 12,894 15,043 17,192 25,788 30,086 45,129 51,576 60,172 90,258 120,344 180,516 361,032

Collatz Trajectory (117 steps to reach 1)

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

361,032 180,516 90,258 45,129 135,388 67,694 33,847 101,542 50,771 152,314 76,157 228,472 114,236 57,118 28,559 85,678 42,839 128,518 64,259 192,778 96,389 289,168 144,584 72,292 36,146 18,073 54,220 27,110 13,555 40,666 20,333 61,000 30,500 15,250 7,625 22,876 11,438 5,719 17,158 8,579 25,738 12,869 38,608 19,304 9,652 4,826 2,413 7,240 3,620 1,810 905 2,716 1,358 679 2,038 1,019 3,058 1,529 4,588 2,294

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