8,313,256

2³ × 7 × 29 × 5119

Starting at 8,313,256, the Collatz iteration reaches 1 after 75 steps. The first transition is 4156628; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 7 × 29 × 5119

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 18,432,000

Proper Divisor Sum 10,118,744

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #8313251 ← → #8313257

Radix Representation

Decimal	8313256
Binary	11111101101100110101000 (23 bits)
Octal	0o37554650
Hexadecimal	0x7ED9A8

Divisor Catalog (32)

1 2 4 7 8 14 28 29 56 58 116 203 232 406 812 1,624 5,119 10,238 20,476 35,833 40,952 71,666 143,332 148,451 286,664 296,902 593,804 1,039,157 1,187,608 2,078,314 4,156,628 8,313,256

Collatz Trajectory (75 steps to reach 1)

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

8,313,256 4,156,628 2,078,314 1,039,157 3,117,472 1,558,736 779,368 389,684 194,842 97,421 292,264 146,132 73,066 36,533 109,600 54,800 27,400 13,700 6,850 3,425 10,276 5,138 2,569 7,708 3,854 1,927 5,782 2,891 8,674 4,337 13,012 6,506 3,253 9,760 4,880 2,440 1,220 610 305 916 458 229 688 344 172 86 43 130 65 196 98 49 148 74 37 112 56 28 14 7

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