λ
Integer Codex

5,580,388

22 × 11 × 126827
Deficient Even Composite

For 5,580,388, the 12 positive divisors have a total of 10,653,552. Removing 5,580,388 leaves 5,073,164, which gives the deficient classification.

Prime Factor Structure

Factorization String 2^2 × 11 × 126827
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 10,653,552
Proper Divisor Sum 5,073,164
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #5580373 ← → #5580391

Radix Representation

Decimal 5580388
Binary 10101010010011001100100 (23 bits)
Octal 0o25223144
Hexadecimal 0x552664

Divisor Catalog (12)

1 2 4 11 22 44 126,827 253,654 507,308 1,395,097 2,790,194 5,580,388

Collatz Trajectory (108 steps to reach 1)

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

5,580,388 2,790,194 1,395,097 4,185,292 2,092,646 1,046,323 3,138,970 1,569,485 4,708,456 2,354,228 1,177,114 588,557 1,765,672 882,836 441,418 220,709 662,128 331,064 165,532 82,766 41,383 124,150 62,075 186,226 93,113 279,340 139,670 69,835 209,506 104,753 314,260 157,130 78,565 235,696 117,848 58,924 29,462 14,731 44,194 22,097 66,292 33,146 16,573 49,720 24,860 12,430 6,215 18,646 9,323 27,970 13,985 41,956 20,978 10,489 31,468 15,734 7,867 23,602 11,801 35,404

More profiles

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