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Atlas › Integer Profiles › Node 23,846,992

23,846,992

24 × 13 × 114649
Abundant Even Composite

23,846,992 factors as 2^4 × 13 × 114649. Its 20 positive divisors give a proper-divisor sum of 25,911,108, so this integer is abundant. The Collatz stopping time is 141 steps.

Prime Factor Structure

Factorization String 2^4 × 13 × 114649
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 49,758,100
Proper Divisor Sum 25,911,108
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #23846987 ← → #23846993

Radix Representation

Decimal 23846992
Binary 1011010111110000001010000 (25 bits)
Octal 0o132760120
Hexadecimal 0x16BE050

Divisor Catalog (20)

1 2 4 8 13 16 26 52 104 208 114,649 229,298 458,596 917,192 1,490,437 1,834,384 2,980,874 5,961,748 11,923,496 23,846,992

Collatz Trajectory (141 steps to reach 1)

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

23,846,992 11,923,496 5,961,748 2,980,874 1,490,437 4,471,312 2,235,656 1,117,828 558,914 279,457 838,372 419,186 209,593 628,780 314,390 157,195 471,586 235,793 707,380 353,690 176,845 530,536 265,268 132,634 66,317 198,952 99,476 49,738 24,869 74,608 37,304 18,652 9,326 4,663 13,990 6,995 20,986 10,493 31,480 15,740 7,870 3,935 11,806 5,903 17,710 8,855 26,566 13,283 39,850 19,925 59,776 29,888 14,944 7,472 3,736 1,868 934 467 1,402 701

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