λ
Integer Codex

5,001,882

2 × 3 × 37 × 22531
Abundant Even Composite

For 5,001,882, the 16 positive divisors have a total of 10,274,592. Removing 5,001,882 leaves 5,272,710, which gives the abundant classification.

Prime Factor Structure

Factorization String 2 × 3 × 37 × 22531
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 10,274,592
Proper Divisor Sum 5,272,710
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #5001809 ← → #5001907

Radix Representation

Decimal 5001882
Binary 10011000101001010011010 (23 bits)
Octal 0o23051232
Hexadecimal 0x4C529A

Divisor Catalog (16)

1 2 3 6 37 74 111 222 22,531 45,062 67,593 135,186 833,647 1,667,294 2,500,941 5,001,882

Collatz Trajectory (113 steps to reach 1)

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

5,001,882 2,500,941 7,502,824 3,751,412 1,875,706 937,853 2,813,560 1,406,780 703,390 351,695 1,055,086 527,543 1,582,630 791,315 2,373,946 1,186,973 3,560,920 1,780,460 890,230 445,115 1,335,346 667,673 2,003,020 1,001,510 500,755 1,502,266 751,133 2,253,400 1,126,700 563,350 281,675 845,026 422,513 1,267,540 633,770 316,885 950,656 475,328 237,664 118,832 59,416 29,708 14,854 7,427 22,282 11,141 33,424 16,712 8,356 4,178 2,089 6,268 3,134 1,567 4,702 2,351 7,054 3,527 10,582 5,291

More profiles

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