λ
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Atlas › Integer Profiles › Node 14,865,690

14,865,690

2 × 3 × 5 × 7 × 29 × 2441
Abundant Even Composite

14,865,690 factors as 2 × 3 × 5 × 7 × 29 × 2441. Its 64 positive divisors give a proper-divisor sum of 27,332,070, so this integer is abundant. The Collatz stopping time is 161 steps.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 7 × 29 × 2441
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 42,197,760
Proper Divisor Sum 27,332,070
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #14865689 ← → #14865713

Radix Representation

Decimal 14865690
Binary 111000101101010100011010 (24 bits)
Octal 0o70552432
Hexadecimal 0xE2D51A

Divisor Catalog (60 of 64)

1 2 3 5 6 7 10 14 15 21 29 30 35 42 58 70 87 105 145 174 203 210 290 406 435 609 870 1,015 1,218 2,030 2,441 3,045 4,882 6,090 7,323 12,205 14,646 17,087 24,410 34,174 36,615 51,261 70,789 73,230 85,435 102,522 141,578 170,870 212,367 256,305 353,945 424,734 495,523 512,610 707,890 991,046 1,061,835 1,486,569 2,123,670 2,477,615

Collatz Trajectory (161 steps to reach 1)

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

14,865,690 7,432,845 22,298,536 11,149,268 5,574,634 2,787,317 8,361,952 4,180,976 2,090,488 1,045,244 522,622 261,311 783,934 391,967 1,175,902 587,951 1,763,854 881,927 2,645,782 1,322,891 3,968,674 1,984,337 5,953,012 2,976,506 1,488,253 4,464,760 2,232,380 1,116,190 558,095 1,674,286 837,143 2,511,430 1,255,715 3,767,146 1,883,573 5,650,720 2,825,360 1,412,680 706,340 353,170 176,585 529,756 264,878 132,439 397,318 198,659 595,978 297,989 893,968 446,984 223,492 111,746 55,873 167,620 83,810 41,905 125,716 62,858 31,429 94,288

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