λ
Harmonic Matrix

548,938

2 × 13 × 43 × 491
Deficient Even Composite

548,938 has digital root 1. The neighboring primes are 548927 and 548953; its proper-divisor sum differs from the starting integer by -188,660.

Prime Factor Structure

Factorization String 2 × 13 × 43 × 491
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 909,216
Proper Divisor Sum 360,278
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #548927 ← → #548953

Radix Representation

Decimal 548938
Binary 10000110000001001010 (20 bits)
Octal 0o2060112
Hexadecimal 0x8604A

Divisor Catalog (16)

1 2 13 26 43 86 491 559 982 1,118 6,383 12,766 21,113 42,226 274,469 548,938

Collatz Trajectory (221 steps to reach 1)

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

548,938 274,469 823,408 411,704 205,852 102,926 51,463 154,390 77,195 231,586 115,793 347,380 173,690 86,845 260,536 130,268 65,134 32,567 97,702 48,851 146,554 73,277 219,832 109,916 54,958 27,479 82,438 41,219 123,658 61,829 185,488 92,744 46,372 23,186 11,593 34,780 17,390 8,695 26,086 13,043 39,130 19,565 58,696 29,348 14,674 7,337 22,012 11,006 5,503 16,510 8,255 24,766 12,383 37,150 18,575 55,726 27,863 83,590 41,795 125,386

More profiles

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