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Atlas › Integer Profiles › Node 14,865,342

14,865,342

2 × 3 × 29 × 37 × 2309
Abundant Even Composite

14,865,342 factors as 2 × 3 × 29 × 37 × 2309. Its 32 positive divisors give a proper-divisor sum of 16,735,458, so this integer is abundant. The Collatz stopping time is 311 steps.

Prime Factor Structure

Factorization String 2 × 3 × 29 × 37 × 2309
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 31,600,800
Proper Divisor Sum 16,735,458
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #14865299 ← → #14865343

Radix Representation

Decimal 14865342
Binary 111000101101001110111110 (24 bits)
Octal 0o70551676
Hexadecimal 0xE2D3BE

Divisor Catalog (32)

1 2 3 6 29 37 58 74 87 111 174 222 1,073 2,146 2,309 3,219 4,618 6,438 6,927 13,854 66,961 85,433 133,922 170,866 200,883 256,299 401,766 512,598 2,477,557 4,955,114 7,432,671 14,865,342

Collatz Trajectory (311 steps to reach 1)

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

14,865,342 7,432,671 22,298,014 11,149,007 33,447,022 16,723,511 50,170,534 25,085,267 75,255,802 37,627,901 112,883,704 56,441,852 28,220,926 14,110,463 42,331,390 21,165,695 63,497,086 31,748,543 95,245,630 47,622,815 142,868,446 71,434,223 214,302,670 107,151,335 321,454,006 160,727,003 482,181,010 241,090,505 723,271,516 361,635,758 180,817,879 542,453,638 271,226,819 813,680,458 406,840,229 1,220,520,688 610,260,344 305,130,172 152,565,086 76,282,543 228,847,630 114,423,815 343,271,446 171,635,723 514,907,170 257,453,585 772,360,756 386,180,378 193,090,189 579,270,568 289,635,284 144,817,642 72,408,821 217,226,464 108,613,232 54,306,616 27,153,308 13,576,654 6,788,327 20,364,982

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