2,931,591

3 × 13 × 75169

Starting at 2,931,591, the Collatz iteration reaches 1 after 120 steps. The first transition is 8794774; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 13 × 75169

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 4,209,520

Proper Divisor Sum 1,277,929

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #2931587 ← → #2931619

Radix Representation

Decimal	2931591
Binary	1011001011101110000111 (22 bits)
Octal	0o13135607
Hexadecimal	0x2CBB87

Divisor Catalog (8)

1 3 13 39 75,169 225,507 977,197 2,931,591

Collatz Trajectory (120 steps to reach 1)

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

2,931,591 8,794,774 4,397,387 13,192,162 6,596,081 19,788,244 9,894,122 4,947,061 14,841,184 7,420,592 3,710,296 1,855,148 927,574 463,787 1,391,362 695,681 2,087,044 1,043,522 521,761 1,565,284 782,642 391,321 1,173,964 586,982 293,491 880,474 440,237 1,320,712 660,356 330,178 165,089 495,268 247,634 123,817 371,452 185,726 92,863 278,590 139,295 417,886 208,943 626,830 313,415 940,246 470,123 1,410,370 705,185 2,115,556 1,057,778 528,889 1,586,668 793,334 396,667 1,190,002 595,001 1,785,004 892,502 446,251 1,338,754 669,377

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