7,179,807

3 × 107 × 22367

Starting at 7,179,807, the Collatz iteration reaches 1 after 129 steps. The first transition is 21539422; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 107 × 22367

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 9,662,976

Proper Divisor Sum 2,483,169

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #7179803 ← → #7179811

Radix Representation

Decimal	7179807
Binary	11011011000111000011111 (23 bits)
Octal	0o33307037
Hexadecimal	0x6D8E1F

Divisor Catalog (8)

1 3 107 321 22,367 67,101 2,393,269 7,179,807

Collatz Trajectory (129 steps to reach 1)

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

7,179,807 21,539,422 10,769,711 32,309,134 16,154,567 48,463,702 24,231,851 72,695,554 36,347,777 109,043,332 54,521,666 27,260,833 81,782,500 40,891,250 20,445,625 61,336,876 30,668,438 15,334,219 46,002,658 23,001,329 69,003,988 34,501,994 17,250,997 51,752,992 25,876,496 12,938,248 6,469,124 3,234,562 1,617,281 4,851,844 2,425,922 1,212,961 3,638,884 1,819,442 909,721 2,729,164 1,364,582 682,291 2,046,874 1,023,437 3,070,312 1,535,156 767,578 383,789 1,151,368 575,684 287,842 143,921 431,764 215,882 107,941 323,824 161,912 80,956 40,478 20,239 60,718 30,359 91,078 45,539

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