λ
Harmonic Matrix

6,173,981

11 × 113 × 4967
Deficient Odd Composite

6,173,981 has digital root 8. The neighboring primes are 6173957 and 6174001; its proper-divisor sum differs from the starting integer by -5,551,738.

Prime Factor Structure

Factorization String 11 × 113 × 4967
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 6,796,224
Proper Divisor Sum 622,243
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #6173957 ← → #6174001

Radix Representation

Decimal 6173981
Binary 10111100011010100011101 (23 bits)
Octal 0o27432435
Hexadecimal 0x5E351D

Divisor Catalog (8)

1 11 113 1,243 4,967 54,637 561,271 6,173,981

Collatz Trajectory (209 steps to reach 1)

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

6,173,981 18,521,944 9,260,972 4,630,486 2,315,243 6,945,730 3,472,865 10,418,596 5,209,298 2,604,649 7,813,948 3,906,974 1,953,487 5,860,462 2,930,231 8,790,694 4,395,347 13,186,042 6,593,021 19,779,064 9,889,532 4,944,766 2,472,383 7,417,150 3,708,575 11,125,726 5,562,863 16,688,590 8,344,295 25,032,886 12,516,443 37,549,330 18,774,665 56,323,996 28,161,998 14,080,999 42,242,998 21,121,499 63,364,498 31,682,249 95,046,748 47,523,374 23,761,687 71,285,062 35,642,531 106,927,594 53,463,797 160,391,392 80,195,696 40,097,848 20,048,924 10,024,462 5,012,231 15,036,694 7,518,347 22,555,042 11,277,521 33,832,564 16,916,282 8,458,141

More profiles

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