λ
Harmonic Matrix

9,120,959

17 × 103 × 5209
Deficient Odd Composite

9,120,959 has digital root 8. The neighboring primes are 9120941 and 9120967; its proper-divisor sum differs from the starting integer by -8,488,798.

Prime Factor Structure

Factorization String 17 × 103 × 5209
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 9,753,120
Proper Divisor Sum 632,161
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #9120941 ← → #9120967

Radix Representation

Decimal 9120959
Binary 100010110010110010111111 (24 bits)
Octal 0o42626277
Hexadecimal 0x8B2CBF

Divisor Catalog (8)

1 17 103 1,751 5,209 88,553 536,527 9,120,959

Collatz Trajectory (225 steps to reach 1)

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

9,120,959 27,362,878 13,681,439 41,044,318 20,522,159 61,566,478 30,783,239 92,349,718 46,174,859 138,524,578 69,262,289 207,786,868 103,893,434 51,946,717 155,840,152 77,920,076 38,960,038 19,480,019 58,440,058 29,220,029 87,660,088 43,830,044 21,915,022 10,957,511 32,872,534 16,436,267 49,308,802 24,654,401 73,963,204 36,981,602 18,490,801 55,472,404 27,736,202 13,868,101 41,604,304 20,802,152 10,401,076 5,200,538 2,600,269 7,800,808 3,900,404 1,950,202 975,101 2,925,304 1,462,652 731,326 365,663 1,096,990 548,495 1,645,486 822,743 2,468,230 1,234,115 3,702,346 1,851,173 5,553,520 2,776,760 1,388,380 694,190 347,095

More profiles

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