λ
Ratio Atlas
Atlas › Integer Profiles › Node 3,129,698

3,129,698

2 × 11 × 13 × 31 × 353
Deficient Even Composite

3,129,698 factors as 2 × 11 × 13 × 31 × 353. Its 32 positive divisors give a proper-divisor sum of 2,579,614, so this integer is deficient. The Collatz stopping time is 133 steps.

Prime Factor Structure

Factorization String 2 × 11 × 13 × 31 × 353
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 5,709,312
Proper Divisor Sum 2,579,614
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #3129691 ← → #3129701

Radix Representation

Decimal 3129698
Binary 1011111100000101100010 (22 bits)
Octal 0o13740542
Hexadecimal 0x2FC162

Divisor Catalog (32)

1 2 11 13 22 26 31 62 143 286 341 353 403 682 706 806 3,883 4,433 4,589 7,766 8,866 9,178 10,943 21,886 50,479 100,958 120,373 142,259 240,746 284,518 1,564,849 3,129,698

Collatz Trajectory (133 steps to reach 1)

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

3,129,698 1,564,849 4,694,548 2,347,274 1,173,637 3,520,912 1,760,456 880,228 440,114 220,057 660,172 330,086 165,043 495,130 247,565 742,696 371,348 185,674 92,837 278,512 139,256 69,628 34,814 17,407 52,222 26,111 78,334 39,167 117,502 58,751 176,254 88,127 264,382 132,191 396,574 198,287 594,862 297,431 892,294 446,147 1,338,442 669,221 2,007,664 1,003,832 501,916 250,958 125,479 376,438 188,219 564,658 282,329 846,988 423,494 211,747 635,242 317,621 952,864 476,432 238,216 119,108

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #3,129,697 Browse Full Index Next Integer #3,129,699 →