λ
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Atlas › Integer Profiles › Node 19,626,232

19,626,232

23 × 43 × 59 × 967
Deficient Even Composite

19,626,232 factors as 2^3 × 43 × 59 × 967. Its 32 positive divisors give a proper-divisor sum of 18,706,568, so this integer is deficient. The Collatz stopping time is 146 steps.

Prime Factor Structure

Factorization String 2^3 × 43 × 59 × 967
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 38,332,800
Proper Divisor Sum 18,706,568
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #19626227 ← → #19626241

Radix Representation

Decimal 19626232
Binary 1001010110111100011111000 (25 bits)
Octal 0o112674370
Hexadecimal 0x12B78F8

Divisor Catalog (32)

1 2 4 8 43 59 86 118 172 236 344 472 967 1,934 2,537 3,868 5,074 7,736 10,148 20,296 41,581 57,053 83,162 114,106 166,324 228,212 332,648 456,424 2,453,279 4,906,558 9,813,116 19,626,232

Collatz Trajectory (146 steps to reach 1)

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

19,626,232 9,813,116 4,906,558 2,453,279 7,359,838 3,679,919 11,039,758 5,519,879 16,559,638 8,279,819 24,839,458 12,419,729 37,259,188 18,629,594 9,314,797 27,944,392 13,972,196 6,986,098 3,493,049 10,479,148 5,239,574 2,619,787 7,859,362 3,929,681 11,789,044 5,894,522 2,947,261 8,841,784 4,420,892 2,210,446 1,105,223 3,315,670 1,657,835 4,973,506 2,486,753 7,460,260 3,730,130 1,865,065 5,595,196 2,797,598 1,398,799 4,196,398 2,098,199 6,294,598 3,147,299 9,441,898 4,720,949 14,162,848 7,081,424 3,540,712 1,770,356 885,178 442,589 1,327,768 663,884 331,942 165,971 497,914 248,957 746,872

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