λ
Harmonic Matrix

5,092,367

7 × 17 × 42793
Deficient Odd Composite

5,092,367 has digital root 5. The neighboring primes are 5092357 and 5092369; its proper-divisor sum differs from the starting integer by -4,022,398.

Prime Factor Structure

Factorization String 7 × 17 × 42793
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 6,162,336
Proper Divisor Sum 1,069,969
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #5092357 ← → #5092369

Radix Representation

Decimal 5092367
Binary 10011011011010000001111 (23 bits)
Octal 0o23332017
Hexadecimal 0x4DB40F

Divisor Catalog (8)

1 7 17 119 42,793 299,551 727,481 5,092,367

Collatz Trajectory (126 steps to reach 1)

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

5,092,367 15,277,102 7,638,551 22,915,654 11,457,827 34,373,482 17,186,741 51,560,224 25,780,112 12,890,056 6,445,028 3,222,514 1,611,257 4,833,772 2,416,886 1,208,443 3,625,330 1,812,665 5,437,996 2,718,998 1,359,499 4,078,498 2,039,249 6,117,748 3,058,874 1,529,437 4,588,312 2,294,156 1,147,078 573,539 1,720,618 860,309 2,580,928 1,290,464 645,232 322,616 161,308 80,654 40,327 120,982 60,491 181,474 90,737 272,212 136,106 68,053 204,160 102,080 51,040 25,520 12,760 6,380 3,190 1,595 4,786 2,393 7,180 3,590 1,795 5,386

More profiles

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