λ
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Atlas › Integer Profiles › Node 23,113,948

23,113,948

22 × 11 × 13 × 17 × 2377
Abundant Even Composite

23,113,948 factors as 2^2 × 11 × 13 × 17 × 2377. Its 48 positive divisors give a proper-divisor sum of 27,223,556, so this integer is abundant. The Collatz stopping time is 97 steps.

Prime Factor Structure

Factorization String 2^2 × 11 × 13 × 17 × 2377
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 50,337,504
Proper Divisor Sum 27,223,556
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #23113943 ← → #23113949

Radix Representation

Decimal 23113948
Binary 1011000001011000011011100 (25 bits)
Octal 0o130130334
Hexadecimal 0x160B0DC

Divisor Catalog (48)

1 2 4 11 13 17 22 26 34 44 52 68 143 187 221 286 374 442 572 748 884 2,377 2,431 4,754 4,862 9,508 9,724 26,147 30,901 40,409 52,294 61,802 80,818 104,588 123,604 161,636 339,911 444,499 525,317 679,822 888,998 1,050,634 1,359,644 1,777,996 2,101,268 5,778,487 11,556,974 23,113,948

Collatz Trajectory (97 steps to reach 1)

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

23,113,948 11,556,974 5,778,487 17,335,462 8,667,731 26,003,194 13,001,597 39,004,792 19,502,396 9,751,198 4,875,599 14,626,798 7,313,399 21,940,198 10,970,099 32,910,298 16,455,149 49,365,448 24,682,724 12,341,362 6,170,681 18,512,044 9,256,022 4,628,011 13,884,034 6,942,017 20,826,052 10,413,026 5,206,513 15,619,540 7,809,770 3,904,885 11,714,656 5,857,328 2,928,664 1,464,332 732,166 366,083 1,098,250 549,125 1,647,376 823,688 411,844 205,922 102,961 308,884 154,442 77,221 231,664 115,832 57,916 28,958 14,479 43,438 21,719 65,158 32,579 97,738 48,869 146,608

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