λ
Harmonic Matrix

9,679,304

23 × 59 × 20507
Deficient Even Composite

9,679,304 has digital root 2. The neighboring primes are 9679291 and 9679331; its proper-divisor sum differs from the starting integer by -901,408.

Prime Factor Structure

Factorization String 2^3 × 59 × 20507
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 18,457,200
Proper Divisor Sum 8,777,896
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #9679291 ← → #9679331

Radix Representation

Decimal 9679304
Binary 100100111011000111001000 (24 bits)
Octal 0o44730710
Hexadecimal 0x93B1C8

Divisor Catalog (16)

1 2 4 8 59 118 236 472 20,507 41,014 82,028 164,056 1,209,913 2,419,826 4,839,652 9,679,304

Collatz Trajectory (194 steps to reach 1)

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

9,679,304 4,839,652 2,419,826 1,209,913 3,629,740 1,814,870 907,435 2,722,306 1,361,153 4,083,460 2,041,730 1,020,865 3,062,596 1,531,298 765,649 2,296,948 1,148,474 574,237 1,722,712 861,356 430,678 215,339 646,018 323,009 969,028 484,514 242,257 726,772 363,386 181,693 545,080 272,540 136,270 68,135 204,406 102,203 306,610 153,305 459,916 229,958 114,979 344,938 172,469 517,408 258,704 129,352 64,676 32,338 16,169 48,508 24,254 12,127 36,382 18,191 54,574 27,287 81,862 40,931 122,794 61,397

More profiles

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