λ
Harmonic Matrix

6,372,118

2 × 59 × 54001
Deficient Even Composite

6,372,118 has digital root 1. The neighboring primes are 6372101 and 6372131; its proper-divisor sum differs from the starting integer by -3,023,876.

Prime Factor Structure

Factorization String 2 × 59 × 54001
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 9,720,360
Proper Divisor Sum 3,348,242
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #6372101 ← → #6372131

Radix Representation

Decimal 6372118
Binary 11000010011101100010110 (23 bits)
Octal 0o30235426
Hexadecimal 0x613B16

Divisor Catalog (8)

1 2 59 118 54,001 108,002 3,186,059 6,372,118

Collatz Trajectory (209 steps to reach 1)

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

6,372,118 3,186,059 9,558,178 4,779,089 14,337,268 7,168,634 3,584,317 10,752,952 5,376,476 2,688,238 1,344,119 4,032,358 2,016,179 6,048,538 3,024,269 9,072,808 4,536,404 2,268,202 1,134,101 3,402,304 1,701,152 850,576 425,288 212,644 106,322 53,161 159,484 79,742 39,871 119,614 59,807 179,422 89,711 269,134 134,567 403,702 201,851 605,554 302,777 908,332 454,166 227,083 681,250 340,625 1,021,876 510,938 255,469 766,408 383,204 191,602 95,801 287,404 143,702 71,851 215,554 107,777 323,332 161,666 80,833 242,500

More profiles

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