456,396

2² × 3 × 73 × 521

456,396 factors as 2^2 × 3 × 73 × 521. Its 24 positive divisors give a proper-divisor sum of 625,188, so this integer is abundant. The Collatz stopping time is 200 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 73 × 521

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 1,081,584

Proper Divisor Sum 625,188

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #456377 ← → #456403

Radix Representation

Decimal	456396
Binary	1101111011011001100 (19 bits)
Octal	0o1573314
Hexadecimal	0x6F6CC

Divisor Catalog (24)

1 2 3 4 6 12 73 146 219 292 438 521 876 1,042 1,563 2,084 3,126 6,252 38,033 76,066 114,099 152,132 228,198 456,396

Collatz Trajectory (200 steps to reach 1)

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

456,396 228,198 114,099 342,298 171,149 513,448 256,724 128,362 64,181 192,544 96,272 48,136 24,068 12,034 6,017 18,052 9,026 4,513 13,540 6,770 3,385 10,156 5,078 2,539 7,618 3,809 11,428 5,714 2,857 8,572 4,286 2,143 6,430 3,215 9,646 4,823 14,470 7,235 21,706 10,853 32,560 16,280 8,140 4,070 2,035 6,106 3,053 9,160 4,580 2,290 1,145 3,436 1,718 859 2,578 1,289 3,868 1,934 967 2,902

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