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Atlas › Integer Profiles › Node 13,643,166

13,643,166

2 × 3 × 29 × 89 × 881
Abundant Even Composite

13,643,166 factors as 2 × 3 × 29 × 89 × 881. Its 32 positive divisors give a proper-divisor sum of 14,933,634, so this integer is abundant. The Collatz stopping time is 223 steps.

Prime Factor Structure

Factorization String 2 × 3 × 29 × 89 × 881
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 28,576,800
Proper Divisor Sum 14,933,634
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #13643141 ← → #13643177

Radix Representation

Decimal 13643166
Binary 110100000010110110011110 (24 bits)
Octal 0o64026636
Hexadecimal 0xD02D9E

Divisor Catalog (32)

1 2 3 6 29 58 87 89 174 178 267 534 881 1,762 2,581 2,643 5,162 5,286 7,743 15,486 25,549 51,098 76,647 78,409 153,294 156,818 235,227 470,454 2,273,861 4,547,722 6,821,583 13,643,166

Collatz Trajectory (223 steps to reach 1)

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

13,643,166 6,821,583 20,464,750 10,232,375 30,697,126 15,348,563 46,045,690 23,022,845 69,068,536 34,534,268 17,267,134 8,633,567 25,900,702 12,950,351 38,851,054 19,425,527 58,276,582 29,138,291 87,414,874 43,707,437 131,122,312 65,561,156 32,780,578 16,390,289 49,170,868 24,585,434 12,292,717 36,878,152 18,439,076 9,219,538 4,609,769 13,829,308 6,914,654 3,457,327 10,371,982 5,185,991 15,557,974 7,778,987 23,336,962 11,668,481 35,005,444 17,502,722 8,751,361 26,254,084 13,127,042 6,563,521 19,690,564 9,845,282 4,922,641 14,767,924 7,383,962 3,691,981 11,075,944 5,537,972 2,768,986 1,384,493 4,153,480 2,076,740 1,038,370 519,185

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