8,257,962

2 × 3 × 101 × 13627

Starting at 8,257,962, the Collatz iteration reaches 1 after 106 steps. The first transition is 4128981; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 101 × 13627

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 16,680,672

Proper Divisor Sum 8,422,710

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #8257957 ← → #8257967

Radix Representation

Decimal	8257962
Binary	11111100000000110101010 (23 bits)
Octal	0o37400652
Hexadecimal	0x7E01AA

Divisor Catalog (16)

1 2 3 6 101 202 303 606 13,627 27,254 40,881 81,762 1,376,327 2,752,654 4,128,981 8,257,962

Collatz Trajectory (106 steps to reach 1)

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

8,257,962 4,128,981 12,386,944 6,193,472 3,096,736 1,548,368 774,184 387,092 193,546 96,773 290,320 145,160 72,580 36,290 18,145 54,436 27,218 13,609 40,828 20,414 10,207 30,622 15,311 45,934 22,967 68,902 34,451 103,354 51,677 155,032 77,516 38,758 19,379 58,138 29,069 87,208 43,604 21,802 10,901 32,704 16,352 8,176 4,088 2,044 1,022 511 1,534 767 2,302 1,151 3,454 1,727 5,182 2,591 7,774 3,887 11,662 5,831 17,494 8,747

← Previous Integer #8,257,961 Browse Full Index Next Integer #8,257,963 →