λ
Harmonic Matrix

8,349,941

17 × 29 × 16937
Deficient Odd Composite

8,349,941 has digital root 2. The neighboring primes are 8349931 and 8349953; its proper-divisor sum differs from the starting integer by -7,553,362.

Prime Factor Structure

Factorization String 17 × 29 × 16937
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 9,146,520
Proper Divisor Sum 796,579
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #8349931 ← → #8349953

Radix Representation

Decimal 8349941
Binary 11111110110100011110101 (23 bits)
Octal 0o37664365
Hexadecimal 0x7F68F5

Divisor Catalog (8)

1 17 29 493 16,937 287,929 491,173 8,349,941

Collatz Trajectory (181 steps to reach 1)

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

8,349,941 25,049,824 12,524,912 6,262,456 3,131,228 1,565,614 782,807 2,348,422 1,174,211 3,522,634 1,761,317 5,283,952 2,641,976 1,320,988 660,494 330,247 990,742 495,371 1,486,114 743,057 2,229,172 1,114,586 557,293 1,671,880 835,940 417,970 208,985 626,956 313,478 156,739 470,218 235,109 705,328 352,664 176,332 88,166 44,083 132,250 66,125 198,376 99,188 49,594 24,797 74,392 37,196 18,598 9,299 27,898 13,949 41,848 20,924 10,462 5,231 15,694 7,847 23,542 11,771 35,314 17,657 52,972

More profiles

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