456,426

2 × 3² × 25357

456,426 is even and not a perfect square. Its factorization is 2 × 3^2 × 25357 and its 12 divisors sum to 988,962.

Prime Factor Structure

Factorization String 2 × 3^2 × 25357

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 988,962

Proper Divisor Sum 532,536

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #456409 ← → #456427

Radix Representation

Decimal	456426
Binary	1101111011011101010 (19 bits)
Octal	0o1573352
Hexadecimal	0x6F6EA

Divisor Catalog (12)

1 2 3 6 9 18 25,357 50,714 76,071 152,142 228,213 456,426

Collatz Trajectory (200 steps to reach 1)

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

456,426 228,213 684,640 342,320 171,160 85,580 42,790 21,395 64,186 32,093 96,280 48,140 24,070 12,035 36,106 18,053 54,160 27,080 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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