9,792,867

3 × 7 × 17 × 27431

Starting at 9,792,867, the Collatz iteration reaches 1 after 207 steps. The first transition is 29378602; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 7 × 17 × 27431

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 15,800,832

Proper Divisor Sum 6,007,965

Digit Sum / Digital Root 48 (Root: 3)

Adjacent Primes #9792857 ← → #9792889

Radix Representation

Decimal	9792867
Binary	100101010110110101100011 (24 bits)
Octal	0o45266543
Hexadecimal	0x956D63

Divisor Catalog (16)

1 3 7 17 21 51 119 357 27,431 82,293 192,017 466,327 576,051 1,398,981 3,264,289 9,792,867

Collatz Trajectory (207 steps to reach 1)

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

9,792,867 29,378,602 14,689,301 44,067,904 22,033,952 11,016,976 5,508,488 2,754,244 1,377,122 688,561 2,065,684 1,032,842 516,421 1,549,264 774,632 387,316 193,658 96,829 290,488 145,244 72,622 36,311 108,934 54,467 163,402 81,701 245,104 122,552 61,276 30,638 15,319 45,958 22,979 68,938 34,469 103,408 51,704 25,852 12,926 6,463 19,390 9,695 29,086 14,543 43,630 21,815 65,446 32,723 98,170 49,085 147,256 73,628 36,814 18,407 55,222 27,611 82,834 41,417 124,252 62,126

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