9,677,673

3² × 31 × 34687

Starting at 9,677,673, the Collatz iteration reaches 1 after 119 steps. The first transition is 29033020; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 31 × 34687

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 14,430,208

Proper Divisor Sum 4,752,535

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #9677671 ← → #9677713

Radix Representation

Decimal	9677673
Binary	100100111010101101101001 (24 bits)
Octal	0o44725551
Hexadecimal	0x93AB69

Divisor Catalog (12)

1 3 9 31 93 279 34,687 104,061 312,183 1,075,297 3,225,891 9,677,673

Collatz Trajectory (119 steps to reach 1)

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

9,677,673 29,033,020 14,516,510 7,258,255 21,774,766 10,887,383 32,662,150 16,331,075 48,993,226 24,496,613 73,489,840 36,744,920 18,372,460 9,186,230 4,593,115 13,779,346 6,889,673 20,669,020 10,334,510 5,167,255 15,501,766 7,750,883 23,252,650 11,626,325 34,878,976 17,439,488 8,719,744 4,359,872 2,179,936 1,089,968 544,984 272,492 136,246 68,123 204,370 102,185 306,556 153,278 76,639 229,918 114,959 344,878 172,439 517,318 258,659 775,978 387,989 1,163,968 581,984 290,992 145,496 72,748 36,374 18,187 54,562 27,281 81,844 40,922 20,461 61,384

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