λ
Prime Ledger

2,643,096

23 × 3 × 110129
Abundant Even Composite

2,643,096 has the prime decomposition 2^3 × 3 × 110129. Its 3 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3 × 110129
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 6,607,800
Proper Divisor Sum 3,964,704
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #2643079 ← → #2643097

Radix Representation

Decimal 2643096
Binary 1010000101010010011000 (22 bits)
Octal 0o12052230
Hexadecimal 0x285498

Divisor Catalog (16)

1 2 3 4 6 8 12 24 110,129 220,258 330,387 440,516 660,774 881,032 1,321,548 2,643,096

Collatz Trajectory (187 steps to reach 1)

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

2,643,096 1,321,548 660,774 330,387 991,162 495,581 1,486,744 743,372 371,686 185,843 557,530 278,765 836,296 418,148 209,074 104,537 313,612 156,806 78,403 235,210 117,605 352,816 176,408 88,204 44,102 22,051 66,154 33,077 99,232 49,616 24,808 12,404 6,202 3,101 9,304 4,652 2,326 1,163 3,490 1,745 5,236 2,618 1,309 3,928 1,964 982 491 1,474 737 2,212 1,106 553 1,660 830 415 1,246 623 1,870 935 2,806

More profiles

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