λ
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Atlas › Integer Profiles › Node 15,863,192

15,863,192

23 × 23 × 73 × 1181
Deficient Even Composite

15,863,192 factors as 2^3 × 23 × 73 × 1181. Its 32 positive divisors give a proper-divisor sum of 15,625,288, so this integer is deficient. The Collatz stopping time is 125 steps.

Prime Factor Structure

Factorization String 2^3 × 23 × 73 × 1181
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 31,488,480
Proper Divisor Sum 15,625,288
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #15863171 ← → #15863201

Radix Representation

Decimal 15863192
Binary 111100100000110110011000 (24 bits)
Octal 0o74406630
Hexadecimal 0xF20D98

Divisor Catalog (32)

1 2 4 8 23 46 73 92 146 184 292 584 1,181 1,679 2,362 3,358 4,724 6,716 9,448 13,432 27,163 54,326 86,213 108,652 172,426 217,304 344,852 689,704 1,982,899 3,965,798 7,931,596 15,863,192

Collatz Trajectory (125 steps to reach 1)

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

15,863,192 7,931,596 3,965,798 1,982,899 5,948,698 2,974,349 8,923,048 4,461,524 2,230,762 1,115,381 3,346,144 1,673,072 836,536 418,268 209,134 104,567 313,702 156,851 470,554 235,277 705,832 352,916 176,458 88,229 264,688 132,344 66,172 33,086 16,543 49,630 24,815 74,446 37,223 111,670 55,835 167,506 83,753 251,260 125,630 62,815 188,446 94,223 282,670 141,335 424,006 212,003 636,010 318,005 954,016 477,008 238,504 119,252 59,626 29,813 89,440 44,720 22,360 11,180 5,590 2,795

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