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Atlas › Integer Profiles › Node 23,601,968

23,601,968

24 × 13 × 233 × 487
Abundant Even Composite

23,601,968 factors as 2^4 × 13 × 233 × 487. Its 40 positive divisors give a proper-divisor sum of 25,957,360, so this integer is abundant. The Collatz stopping time is 123 steps.

Prime Factor Structure

Factorization String 2^4 × 13 × 233 × 487
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 49,559,328
Proper Divisor Sum 25,957,360
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #23601959 ← → #23601973

Radix Representation

Decimal 23601968
Binary 1011010000010001100110000 (25 bits)
Octal 0o132021460
Hexadecimal 0x1682330

Divisor Catalog (40)

1 2 4 8 13 16 26 52 104 208 233 466 487 932 974 1,864 1,948 3,029 3,728 3,896 6,058 6,331 7,792 12,116 12,662 24,232 25,324 48,464 50,648 101,296 113,471 226,942 453,884 907,768 1,475,123 1,815,536 2,950,246 5,900,492 11,800,984 23,601,968

Collatz Trajectory (123 steps to reach 1)

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

23,601,968 11,800,984 5,900,492 2,950,246 1,475,123 4,425,370 2,212,685 6,638,056 3,319,028 1,659,514 829,757 2,489,272 1,244,636 622,318 311,159 933,478 466,739 1,400,218 700,109 2,100,328 1,050,164 525,082 262,541 787,624 393,812 196,906 98,453 295,360 147,680 73,840 36,920 18,460 9,230 4,615 13,846 6,923 20,770 10,385 31,156 15,578 7,789 23,368 11,684 5,842 2,921 8,764 4,382 2,191 6,574 3,287 9,862 4,931 14,794 7,397 22,192 11,096 5,548 2,774 1,387 4,162

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