6,288,425

5² × 11 × 13 × 1759

Starting at 6,288,425, the Collatz iteration reaches 1 after 196 steps. The first transition is 18865276; the starting value is odd with 24 positive divisors.

Prime Factor Structure

Factorization String 5^2 × 11 × 13 × 1759

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 9,166,080

Proper Divisor Sum 2,877,655

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #6288391 ← → #6288427

Radix Representation

Decimal	6288425
Binary	10111111111010000101001 (23 bits)
Octal	0o27772051
Hexadecimal	0x5FF429

Divisor Catalog (24)

1 5 11 13 25 55 65 143 275 325 715 1,759 3,575 8,795 19,349 22,867 43,975 96,745 114,335 251,537 483,725 571,675 1,257,685 6,288,425

Collatz Trajectory (196 steps to reach 1)

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

6,288,425 18,865,276 9,432,638 4,716,319 14,148,958 7,074,479 21,223,438 10,611,719 31,835,158 15,917,579 47,752,738 23,876,369 71,629,108 35,814,554 17,907,277 53,721,832 26,860,916 13,430,458 6,715,229 20,145,688 10,072,844 5,036,422 2,518,211 7,554,634 3,777,317 11,331,952 5,665,976 2,832,988 1,416,494 708,247 2,124,742 1,062,371 3,187,114 1,593,557 4,780,672 2,390,336 1,195,168 597,584 298,792 149,396 74,698 37,349 112,048 56,024 28,012 14,006 7,003 21,010 10,505 31,516 15,758 7,879 23,638 11,819 35,458 17,729 53,188 26,594 13,297 39,892

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