λ
Harmonic Matrix

6,492,826

2 × 31 × 104723
Deficient Even Composite

6,492,826 has digital root 1. The neighboring primes are 6492821 and 6492833; its proper-divisor sum differs from the starting integer by -2,932,148.

Prime Factor Structure

Factorization String 2 × 31 × 104723
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 10,053,504
Proper Divisor Sum 3,560,678
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #6492821 ← → #6492833

Radix Representation

Decimal 6492826
Binary 11000110001001010011010 (23 bits)
Octal 0o30611232
Hexadecimal 0x63129A

Divisor Catalog (8)

1 2 31 62 104,723 209,446 3,246,413 6,492,826

Collatz Trajectory (116 steps to reach 1)

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

6,492,826 3,246,413 9,739,240 4,869,620 2,434,810 1,217,405 3,652,216 1,826,108 913,054 456,527 1,369,582 684,791 2,054,374 1,027,187 3,081,562 1,540,781 4,622,344 2,311,172 1,155,586 577,793 1,733,380 866,690 433,345 1,300,036 650,018 325,009 975,028 487,514 243,757 731,272 365,636 182,818 91,409 274,228 137,114 68,557 205,672 102,836 51,418 25,709 77,128 38,564 19,282 9,641 28,924 14,462 7,231 21,694 10,847 32,542 16,271 48,814 24,407 73,222 36,611 109,834 54,917 164,752 82,376 41,188

More profiles

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