λ
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Atlas › Integer Profiles › Node 12,901,574

12,901,574

2 × 7 × 23 × 103 × 389
Deficient Even Composite

12,901,574 factors as 2 × 7 × 23 × 103 × 389. Its 32 positive divisors give a proper-divisor sum of 10,460,986, so this integer is deficient. The Collatz stopping time is 135 steps.

Prime Factor Structure

Factorization String 2 × 7 × 23 × 103 × 389
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 23,362,560
Proper Divisor Sum 10,460,986
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #12901573 ← → #12901579

Radix Representation

Decimal 12901574
Binary 110001001101110011000110 (24 bits)
Octal 0o61156306
Hexadecimal 0xC4DCC6

Divisor Catalog (32)

1 2 7 14 23 46 103 161 206 322 389 721 778 1,442 2,369 2,723 4,738 5,446 8,947 16,583 17,894 33,166 40,067 62,629 80,134 125,258 280,469 560,938 921,541 1,843,082 6,450,787 12,901,574

Collatz Trajectory (135 steps to reach 1)

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

12,901,574 6,450,787 19,352,362 9,676,181 29,028,544 14,514,272 7,257,136 3,628,568 1,814,284 907,142 453,571 1,360,714 680,357 2,041,072 1,020,536 510,268 255,134 127,567 382,702 191,351 574,054 287,027 861,082 430,541 1,291,624 645,812 322,906 161,453 484,360 242,180 121,090 60,545 181,636 90,818 45,409 136,228 68,114 34,057 102,172 51,086 25,543 76,630 38,315 114,946 57,473 172,420 86,210 43,105 129,316 64,658 32,329 96,988 48,494 24,247 72,742 36,371 109,114 54,557 163,672 81,836

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