λ
Harmonic Matrix

6,372,292

22 × 101 × 15773
Deficient Even Composite

6,372,292 has digital root 4. The neighboring primes are 6372287 and 6372293; its proper-divisor sum differs from the starting integer by -1,481,948.

Prime Factor Structure

Factorization String 2^2 × 101 × 15773
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 11,262,636
Proper Divisor Sum 4,890,344
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #6372287 ← → #6372293

Radix Representation

Decimal 6372292
Binary 11000010011101111000100 (23 bits)
Octal 0o30235704
Hexadecimal 0x613BC4

Divisor Catalog (12)

1 2 4 101 202 404 15,773 31,546 63,092 1,593,073 3,186,146 6,372,292

Collatz Trajectory (46 steps to reach 1)

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

6,372,292 3,186,146 1,593,073 4,779,220 2,389,610 1,194,805 3,584,416 1,792,208 896,104 448,052 224,026 112,013 336,040 168,020 84,010 42,005 126,016 63,008 31,504 15,752 7,876 3,938 1,969 5,908 2,954 1,477 4,432 2,216 1,108 554 277 832 416 208 104 52 26 13 40 20 10 5 16 8 4 2 1

More profiles

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