8,262,992

2⁴ × 516437

Starting at 8,262,992, the Collatz iteration reaches 1 after 80 steps. The first transition is 4131496; the starting value is even with 10 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 516437

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 10

Divisor Sum (σ) 16,009,578

Proper Divisor Sum 7,746,586

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #8262983 ← → #8262997

Radix Representation

Decimal	8262992
Binary	11111100001010101010000 (23 bits)
Octal	0o37412520
Hexadecimal	0x7E1550

Divisor Catalog (10)

1 2 4 8 16 516,437 1,032,874 2,065,748 4,131,496 8,262,992

Collatz Trajectory (80 steps to reach 1)

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

8,262,992 4,131,496 2,065,748 1,032,874 516,437 1,549,312 774,656 387,328 193,664 96,832 48,416 24,208 12,104 6,052 3,026 1,513 4,540 2,270 1,135 3,406 1,703 5,110 2,555 7,666 3,833 11,500 5,750 2,875 8,626 4,313 12,940 6,470 3,235 9,706 4,853 14,560 7,280 3,640 1,820 910 455 1,366 683 2,050 1,025 3,076 1,538 769 2,308 1,154 577 1,732 866 433 1,300 650 325 976 488 244

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