8,340,885

3² × 5 × 7 × 26479

Starting at 8,340,885, the Collatz iteration reaches 1 after 155 steps. The first transition is 25022656; the starting value is odd with 24 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 5 × 7 × 26479

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 16,523,520

Proper Divisor Sum 8,182,635

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #8340877 ← → #8340887

Radix Representation

Decimal	8340885
Binary	11111110100010110010101 (23 bits)
Octal	0o37642625
Hexadecimal	0x7F4595

Divisor Catalog (24)

1 3 5 7 9 15 21 35 45 63 105 315 26,479 79,437 132,395 185,353 238,311 397,185 556,059 926,765 1,191,555 1,668,177 2,780,295 8,340,885

Collatz Trajectory (155 steps to reach 1)

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

8,340,885 25,022,656 12,511,328 6,255,664 3,127,832 1,563,916 781,958 390,979 1,172,938 586,469 1,759,408 879,704 439,852 219,926 109,963 329,890 164,945 494,836 247,418 123,709 371,128 185,564 92,782 46,391 139,174 69,587 208,762 104,381 313,144 156,572 78,286 39,143 117,430 58,715 176,146 88,073 264,220 132,110 66,055 198,166 99,083 297,250 148,625 445,876 222,938 111,469 334,408 167,204 83,602 41,801 125,404 62,702 31,351 94,054 47,027 141,082 70,541 211,624 105,812 52,906

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