636,399

3² × 31 × 2281

Starting at 636,399, the Collatz iteration reaches 1 after 128 steps. The first transition is 1909198; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 31 × 2281

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 949,312

Proper Divisor Sum 312,913

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #636359 ← → #636403

Radix Representation

Decimal	636399
Binary	10011011010111101111 (20 bits)
Octal	0o2332757
Hexadecimal	0x9B5EF

Divisor Catalog (12)

1 3 9 31 93 279 2,281 6,843 20,529 70,711 212,133 636,399

Collatz Trajectory (128 steps to reach 1)

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

636,399 1,909,198 954,599 2,863,798 1,431,899 4,295,698 2,147,849 6,443,548 3,221,774 1,610,887 4,832,662 2,416,331 7,248,994 3,624,497 10,873,492 5,436,746 2,718,373 8,155,120 4,077,560 2,038,780 1,019,390 509,695 1,529,086 764,543 2,293,630 1,146,815 3,440,446 1,720,223 5,160,670 2,580,335 7,741,006 3,870,503 11,611,510 5,805,755 17,417,266 8,708,633 26,125,900 13,062,950 6,531,475 19,594,426 9,797,213 29,391,640 14,695,820 7,347,910 3,673,955 11,021,866 5,510,933 16,532,800 8,266,400 4,133,200 2,066,600 1,033,300 516,650 258,325 774,976 387,488 193,744 96,872 48,436 24,218

← Previous Integer #636,398 Browse Full Index Next Integer #636,400 →