7,309,625

5³ × 58477

Starting at 7,309,625, the Collatz iteration reaches 1 after 116 steps. The first transition is 21928876; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 5^3 × 58477

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 9,122,568

Proper Divisor Sum 1,812,943

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #7309619 ← → #7309637

Radix Representation

Decimal	7309625
Binary	11011111000100100111001 (23 bits)
Octal	0o33704471
Hexadecimal	0x6F8939

Divisor Catalog (8)

1 5 25 125 58,477 292,385 1,461,925 7,309,625

Collatz Trajectory (116 steps to reach 1)

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

7,309,625 21,928,876 10,964,438 5,482,219 16,446,658 8,223,329 24,669,988 12,334,994 6,167,497 18,502,492 9,251,246 4,625,623 13,876,870 6,938,435 20,815,306 10,407,653 31,222,960 15,611,480 7,805,740 3,902,870 1,951,435 5,854,306 2,927,153 8,781,460 4,390,730 2,195,365 6,586,096 3,293,048 1,646,524 823,262 411,631 1,234,894 617,447 1,852,342 926,171 2,778,514 1,389,257 4,167,772 2,083,886 1,041,943 3,125,830 1,562,915 4,688,746 2,344,373 7,033,120 3,516,560 1,758,280 879,140 439,570 219,785 659,356 329,678 164,839 494,518 247,259 741,778 370,889 1,112,668 556,334 278,167

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