λ
Harmonic Matrix

543,982

2 × 29 × 83 × 113
Deficient Even Composite

543,982 has digital root 4. The neighboring primes are 543971 and 543997; its proper-divisor sum differs from the starting integer by -226,124.

Prime Factor Structure

Factorization String 2 × 29 × 83 × 113
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 861,840
Proper Divisor Sum 317,858
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #543971 ← → #543997

Radix Representation

Decimal 543982
Binary 10000100110011101110 (20 bits)
Octal 0o2046356
Hexadecimal 0x84CEE

Divisor Catalog (16)

1 2 29 58 83 113 166 226 2,407 3,277 4,814 6,554 9,379 18,758 271,991 543,982

Collatz Trajectory (89 steps to reach 1)

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

543,982 271,991 815,974 407,987 1,223,962 611,981 1,835,944 917,972 458,986 229,493 688,480 344,240 172,120 86,060 43,030 21,515 64,546 32,273 96,820 48,410 24,205 72,616 36,308 18,154 9,077 27,232 13,616 6,808 3,404 1,702 851 2,554 1,277 3,832 1,916 958 479 1,438 719 2,158 1,079 3,238 1,619 4,858 2,429 7,288 3,644 1,822 911 2,734 1,367 4,102 2,051 6,154 3,077 9,232 4,616 2,308 1,154 577

More profiles

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