λ
Prime Ledger

100,662

2 × 3 × 19 × 883
Abundant Even Composite

100,662 has the prime decomposition 2 × 3 × 19 × 883. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 19 × 883
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 212,160
Proper Divisor Sum 111,498
Digit Sum / Digital Root 15 (Root: 6)
Adjacent Primes #100649 ← → #100669

Radix Representation

Decimal 100662
Binary 11000100100110110 (17 bits)
Octal 0o304466
Hexadecimal 0x18936

Divisor Catalog (16)

1 2 3 6 19 38 57 114 883 1,766 2,649 5,298 16,777 33,554 50,331 100,662

Collatz Trajectory (203 steps to reach 1)

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

100,662 50,331 150,994 75,497 226,492 113,246 56,623 169,870 84,935 254,806 127,403 382,210 191,105 573,316 286,658 143,329 429,988 214,994 107,497 322,492 161,246 80,623 241,870 120,935 362,806 181,403 544,210 272,105 816,316 408,158 204,079 612,238 306,119 918,358 459,179 1,377,538 688,769 2,066,308 1,033,154 516,577 1,549,732 774,866 387,433 1,162,300 581,150 290,575 871,726 435,863 1,307,590 653,795 1,961,386 980,693 2,942,080 1,471,040 735,520 367,760 183,880 91,940 45,970 22,985

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