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Atlas › Integer Profiles › Node 23,979,880

23,979,880

23 × 5 × 487 × 1231
Abundant Even Composite

23,979,880 factors as 2^3 × 5 × 487 × 1231. Its 32 positive divisors give a proper-divisor sum of 30,129,560, so this integer is abundant. The Collatz stopping time is 185 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 487 × 1231
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 54,109,440
Proper Divisor Sum 30,129,560
Digit Sum / Digital Root 46 (Root: 1)
Adjacent Primes #23979847 ← → #23979883

Radix Representation

Decimal 23979880
Binary 1011011011110011101101000 (25 bits)
Octal 0o133363550
Hexadecimal 0x16DE768

Divisor Catalog (32)

1 2 4 5 8 10 20 40 487 974 1,231 1,948 2,435 2,462 3,896 4,870 4,924 6,155 9,740 9,848 12,310 19,480 24,620 49,240 599,497 1,198,994 2,397,988 2,997,485 4,795,976 5,994,970 11,989,940 23,979,880

Collatz Trajectory (185 steps to reach 1)

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

23,979,880 11,989,940 5,994,970 2,997,485 8,992,456 4,496,228 2,248,114 1,124,057 3,372,172 1,686,086 843,043 2,529,130 1,264,565 3,793,696 1,896,848 948,424 474,212 237,106 118,553 355,660 177,830 88,915 266,746 133,373 400,120 200,060 100,030 50,015 150,046 75,023 225,070 112,535 337,606 168,803 506,410 253,205 759,616 379,808 189,904 94,952 47,476 23,738 11,869 35,608 17,804 8,902 4,451 13,354 6,677 20,032 10,016 5,008 2,504 1,252 626 313 940 470 235 706

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