6,476,729

7 × 41 × 22567

Starting at 6,476,729, the Collatz iteration reaches 1 after 209 steps. The first transition is 19430188; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 7 × 41 × 22567

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 7,582,848

Proper Divisor Sum 1,106,119

Digit Sum / Digital Root 41 (Root: 5)

Adjacent Primes #6476699 ← → #6476749

Radix Representation

Decimal	6476729
Binary	11000101101001110111001 (23 bits)
Octal	0o30551671
Hexadecimal	0x62D3B9

Divisor Catalog (8)

1 7 41 287 22,567 157,969 925,247 6,476,729

Collatz Trajectory (209 steps to reach 1)

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

6,476,729 19,430,188 9,715,094 4,857,547 14,572,642 7,286,321 21,858,964 10,929,482 5,464,741 16,394,224 8,197,112 4,098,556 2,049,278 1,024,639 3,073,918 1,536,959 4,610,878 2,305,439 6,916,318 3,458,159 10,374,478 5,187,239 15,561,718 7,780,859 23,342,578 11,671,289 35,013,868 17,506,934 8,753,467 26,260,402 13,130,201 39,390,604 19,695,302 9,847,651 29,542,954 14,771,477 44,314,432 22,157,216 11,078,608 5,539,304 2,769,652 1,384,826 692,413 2,077,240 1,038,620 519,310 259,655 778,966 389,483 1,168,450 584,225 1,752,676 876,338 438,169 1,314,508 657,254 328,627 985,882 492,941 1,478,824

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