λ
Prime Ledger

23,610

2 × 3 × 5 × 787
Abundant Even Composite

23,610 has the prime decomposition 2 × 3 × 5 × 787. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 787
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 56,736
Proper Divisor Sum 33,126
Digit Sum / Digital Root 12 (Root: 3)
Adjacent Primes #23609 ← → #23623

Radix Representation

Decimal 23610
Binary 101110000111010 (15 bits)
Octal 0o56072
Hexadecimal 0x5C3A

Divisor Catalog (16)

1 2 3 5 6 10 15 30 787 1,574 2,361 3,935 4,722 7,870 11,805 23,610

Collatz Trajectory (100 steps to reach 1)

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

23,610 11,805 35,416 17,708 8,854 4,427 13,282 6,641 19,924 9,962 4,981 14,944 7,472 3,736 1,868 934 467 1,402 701 2,104 1,052 526 263 790 395 1,186 593 1,780 890 445 1,336 668 334 167 502 251 754 377 1,132 566 283 850 425 1,276 638 319 958 479 1,438 719 2,158 1,079 3,238 1,619 4,858 2,429 7,288 3,644 1,822 911

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