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Atlas › Integer Profiles › Node 15,293,896

15,293,896

23 × 23 × 43 × 1933
Abundant Even Composite

15,293,896 factors as 2^3 × 23 × 43 × 1933. Its 32 positive divisors give a proper-divisor sum of 15,340,664, so this integer is abundant. The Collatz stopping time is 205 steps.

Prime Factor Structure

Factorization String 2^3 × 23 × 43 × 1933
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 30,634,560
Proper Divisor Sum 15,340,664
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #15293891 ← → #15293909

Radix Representation

Decimal 15293896
Binary 111010010101110111001000 (24 bits)
Octal 0o72256710
Hexadecimal 0xE95DC8

Divisor Catalog (32)

1 2 4 8 23 43 46 86 92 172 184 344 989 1,933 1,978 3,866 3,956 7,732 7,912 15,464 44,459 83,119 88,918 166,238 177,836 332,476 355,672 664,952 1,911,737 3,823,474 7,646,948 15,293,896

Collatz Trajectory (205 steps to reach 1)

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

15,293,896 7,646,948 3,823,474 1,911,737 5,735,212 2,867,606 1,433,803 4,301,410 2,150,705 6,452,116 3,226,058 1,613,029 4,839,088 2,419,544 1,209,772 604,886 302,443 907,330 453,665 1,360,996 680,498 340,249 1,020,748 510,374 255,187 765,562 382,781 1,148,344 574,172 287,086 143,543 430,630 215,315 645,946 322,973 968,920 484,460 242,230 121,115 363,346 181,673 545,020 272,510 136,255 408,766 204,383 613,150 306,575 919,726 459,863 1,379,590 689,795 2,069,386 1,034,693 3,104,080 1,552,040 776,020 388,010 194,005 582,016

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