λ
Integer Codex

2,656,704

26 × 3 × 101 × 137
Abundant Even Composite

For 2,656,704, the 56 positive divisors have a total of 7,150,608. Removing 2,656,704 leaves 4,493,904, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^6 × 3 × 101 × 137
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 7,150,608
Proper Divisor Sum 4,493,904
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #2656699 ← → #2656721

Radix Representation

Decimal 2656704
Binary 1010001000100111000000 (22 bits)
Octal 0o12104700
Hexadecimal 0x2889C0

Divisor Catalog (56)

1 2 3 4 6 8 12 16 24 32 48 64 96 101 137 192 202 274 303 404 411 548 606 808 822 1,096 1,212 1,616 1,644 2,192 2,424 3,232 3,288 4,384 4,848 6,464 6,576 8,768 9,696 13,152 13,837 19,392 26,304 27,674 41,511 55,348 83,022 110,696 166,044 221,392 332,088 442,784 664,176 885,568 1,328,352 2,656,704

Collatz Trajectory (94 steps to reach 1)

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

2,656,704 1,328,352 664,176 332,088 166,044 83,022 41,511 124,534 62,267 186,802 93,401 280,204 140,102 70,051 210,154 105,077 315,232 157,616 78,808 39,404 19,702 9,851 29,554 14,777 44,332 22,166 11,083 33,250 16,625 49,876 24,938 12,469 37,408 18,704 9,352 4,676 2,338 1,169 3,508 1,754 877 2,632 1,316 658 329 988 494 247 742 371 1,114 557 1,672 836 418 209 628 314 157 472

More profiles

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