λ
Harmonic Matrix

9,963,679

11 × 31 × 61 × 479
Deficient Odd Composite

9,963,679 has digital root 4. The neighboring primes are 9963641 and 9963689; its proper-divisor sum differs from the starting integer by -8,499,518.

Prime Factor Structure

Factorization String 11 × 31 × 61 × 479
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 11,427,840
Proper Divisor Sum 1,464,161
Digit Sum / Digital Root 49 (Root: 4)
Adjacent Primes #9963641 ← → #9963689

Radix Representation

Decimal 9963679
Binary 100110000000100010011111 (24 bits)
Octal 0o46004237
Hexadecimal 0x98089F

Divisor Catalog (16)

1 11 31 61 341 479 671 1,891 5,269 14,849 20,801 29,219 163,339 321,409 905,789 9,963,679

Collatz Trajectory (189 steps to reach 1)

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

9,963,679 29,891,038 14,945,519 44,836,558 22,418,279 67,254,838 33,627,419 100,882,258 50,441,129 151,323,388 75,661,694 37,830,847 113,492,542 56,746,271 170,238,814 85,119,407 255,358,222 127,679,111 383,037,334 191,518,667 574,556,002 287,278,001 861,834,004 430,917,002 215,458,501 646,375,504 323,187,752 161,593,876 80,796,938 40,398,469 121,195,408 60,597,704 30,298,852 15,149,426 7,574,713 22,724,140 11,362,070 5,681,035 17,043,106 8,521,553 25,564,660 12,782,330 6,391,165 19,173,496 9,586,748 4,793,374 2,396,687 7,190,062 3,595,031 10,785,094 5,392,547 16,177,642 8,088,821 24,266,464 12,133,232 6,066,616 3,033,308 1,516,654 758,327 2,274,982

More profiles

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