8,313,591

3 × 11 × 13 × 19379

Starting at 8,313,591, the Collatz iteration reaches 1 after 155 steps. The first transition is 24940774; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 11 × 13 × 19379

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 13,023,360

Proper Divisor Sum 4,709,769

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #8313589 ← → #8313619

Radix Representation

Decimal	8313591
Binary	11111101101101011110111 (23 bits)
Octal	0o37555367
Hexadecimal	0x7EDAF7

Divisor Catalog (16)

1 3 11 13 33 39 143 429 19,379 58,137 213,169 251,927 639,507 755,781 2,771,197 8,313,591

Collatz Trajectory (155 steps to reach 1)

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

8,313,591 24,940,774 12,470,387 37,411,162 18,705,581 56,116,744 28,058,372 14,029,186 7,014,593 21,043,780 10,521,890 5,260,945 15,782,836 7,891,418 3,945,709 11,837,128 5,918,564 2,959,282 1,479,641 4,438,924 2,219,462 1,109,731 3,329,194 1,664,597 4,993,792 2,496,896 1,248,448 624,224 312,112 156,056 78,028 39,014 19,507 58,522 29,261 87,784 43,892 21,946 10,973 32,920 16,460 8,230 4,115 12,346 6,173 18,520 9,260 4,630 2,315 6,946 3,473 10,420 5,210 2,605 7,816 3,908 1,954 977 2,932 1,466

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