λ
Integer Codex

2,671,880

23 × 5 × 66797
Abundant Even Composite

For 2,671,880, the 16 positive divisors have a total of 6,011,820. Removing 2,671,880 leaves 3,339,940, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^3 × 5 × 66797
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 6,011,820
Proper Divisor Sum 3,339,940
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #2671849 ← → #2671883

Radix Representation

Decimal 2671880
Binary 1010001100010100001000 (22 bits)
Octal 0o12142410
Hexadecimal 0x28C508

Divisor Catalog (16)

1 2 4 5 8 10 20 40 66,797 133,594 267,188 333,985 534,376 667,970 1,335,940 2,671,880

Collatz Trajectory (169 steps to reach 1)

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

2,671,880 1,335,940 667,970 333,985 1,001,956 500,978 250,489 751,468 375,734 187,867 563,602 281,801 845,404 422,702 211,351 634,054 317,027 951,082 475,541 1,426,624 713,312 356,656 178,328 89,164 44,582 22,291 66,874 33,437 100,312 50,156 25,078 12,539 37,618 18,809 56,428 28,214 14,107 42,322 21,161 63,484 31,742 15,871 47,614 23,807 71,422 35,711 107,134 53,567 160,702 80,351 241,054 120,527 361,582 180,791 542,374 271,187 813,562 406,781 1,220,344 610,172

More profiles

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