8,670,991

7² × 311 × 569

Starting at 8,670,991, the Collatz iteration reaches 1 after 212 steps. The first transition is 26012974; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 7^2 × 311 × 569

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 10,136,880

Proper Divisor Sum 1,465,889

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #8670989 ← → #8670997

Radix Representation

Decimal	8670991
Binary	100001000100111100001111 (24 bits)
Octal	0o41047417
Hexadecimal	0x844F0F

Divisor Catalog (12)

1 7 49 311 569 2,177 3,983 15,239 27,881 176,959 1,238,713 8,670,991

Collatz Trajectory (212 steps to reach 1)

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

8,670,991 26,012,974 13,006,487 39,019,462 19,509,731 58,529,194 29,264,597 87,793,792 43,896,896 21,948,448 10,974,224 5,487,112 2,743,556 1,371,778 685,889 2,057,668 1,028,834 514,417 1,543,252 771,626 385,813 1,157,440 578,720 289,360 144,680 72,340 36,170 18,085 54,256 27,128 13,564 6,782 3,391 10,174 5,087 15,262 7,631 22,894 11,447 34,342 17,171 51,514 25,757 77,272 38,636 19,318 9,659 28,978 14,489 43,468 21,734 10,867 32,602 16,301 48,904 24,452 12,226 6,113 18,340 9,170

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