λ
Integer Codex

5,677,422

2 × 3 × 17 × 55661
Abundant Even Composite

For 5,677,422, the 16 positive divisors have a total of 12,022,992. Removing 5,677,422 leaves 6,345,570, which gives the abundant classification.

Prime Factor Structure

Factorization String 2 × 3 × 17 × 55661
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 12,022,992
Proper Divisor Sum 6,345,570
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #5677403 ← → #5677423

Radix Representation

Decimal 5677422
Binary 10101101010000101101110 (23 bits)
Octal 0o25520556
Hexadecimal 0x56A16E

Divisor Catalog (16)

1 2 3 6 17 34 51 102 55,661 111,322 166,983 333,966 946,237 1,892,474 2,838,711 5,677,422

Collatz Trajectory (139 steps to reach 1)

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

5,677,422 2,838,711 8,516,134 4,258,067 12,774,202 6,387,101 19,161,304 9,580,652 4,790,326 2,395,163 7,185,490 3,592,745 10,778,236 5,389,118 2,694,559 8,083,678 4,041,839 12,125,518 6,062,759 18,188,278 9,094,139 27,282,418 13,641,209 40,923,628 20,461,814 10,230,907 30,692,722 15,346,361 46,039,084 23,019,542 11,509,771 34,529,314 17,264,657 51,793,972 25,896,986 12,948,493 38,845,480 19,422,740 9,711,370 4,855,685 14,567,056 7,283,528 3,641,764 1,820,882 910,441 2,731,324 1,365,662 682,831 2,048,494 1,024,247 3,072,742 1,536,371 4,609,114 2,304,557 6,913,672 3,456,836 1,728,418 864,209 2,592,628 1,296,314

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