6,249,957

3 × 7 × 297617

Starting at 6,249,957, the Collatz iteration reaches 1 after 209 steps. The first transition is 18749872; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 7 × 297617

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 9,523,776

Proper Divisor Sum 3,273,819

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #6249953 ← → #6249959

Radix Representation

Decimal	6249957
Binary	10111110101110111100101 (23 bits)
Octal	0o27656745
Hexadecimal	0x5F5DE5

Divisor Catalog (8)

1 3 7 21 297,617 892,851 2,083,319 6,249,957

Collatz Trajectory (209 steps to reach 1)

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

6,249,957 18,749,872 9,374,936 4,687,468 2,343,734 1,171,867 3,515,602 1,757,801 5,273,404 2,636,702 1,318,351 3,955,054 1,977,527 5,932,582 2,966,291 8,898,874 4,449,437 13,348,312 6,674,156 3,337,078 1,668,539 5,005,618 2,502,809 7,508,428 3,754,214 1,877,107 5,631,322 2,815,661 8,446,984 4,223,492 2,111,746 1,055,873 3,167,620 1,583,810 791,905 2,375,716 1,187,858 593,929 1,781,788 890,894 445,447 1,336,342 668,171 2,004,514 1,002,257 3,006,772 1,503,386 751,693 2,255,080 1,127,540 563,770 281,885 845,656 422,828 211,414 105,707 317,122 158,561 475,684 237,842

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