6,427,844

2² × 409 × 3929

Starting at 6,427,844, the Collatz iteration reaches 1 after 95 steps. The first transition is 3213922; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 409 × 3929

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 11,279,100

Proper Divisor Sum 4,851,256

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #6427831 ← → #6427891

Radix Representation

Decimal	6427844
Binary	11000100001010011000100 (23 bits)
Octal	0o30412304
Hexadecimal	0x6214C4

Divisor Catalog (12)

1 2 4 409 818 1,636 3,929 7,858 15,716 1,606,961 3,213,922 6,427,844

Collatz Trajectory (95 steps to reach 1)

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

6,427,844 3,213,922 1,606,961 4,820,884 2,410,442 1,205,221 3,615,664 1,807,832 903,916 451,958 225,979 677,938 338,969 1,016,908 508,454 254,227 762,682 381,341 1,144,024 572,012 286,006 143,003 429,010 214,505 643,516 321,758 160,879 482,638 241,319 723,958 361,979 1,085,938 542,969 1,628,908 814,454 407,227 1,221,682 610,841 1,832,524 916,262 458,131 1,374,394 687,197 2,061,592 1,030,796 515,398 257,699 773,098 386,549 1,159,648 579,824 289,912 144,956 72,478 36,239 108,718 54,359 163,078 81,539 244,618

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