λ
Harmonic Matrix

9,579,348

22 × 32 × 266093
Abundant Even Composite

9,579,348 has digital root 9. The neighboring primes are 9579343 and 9579371; its proper-divisor sum differs from the starting integer by 5,055,858.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 266093
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 18
Divisor Sum (σ) 24,214,554
Proper Divisor Sum 14,635,206
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #9579343 ← → #9579371

Radix Representation

Decimal 9579348
Binary 100100100010101101010100 (24 bits)
Octal 0o44425524
Hexadecimal 0x922B54

Divisor Catalog (18)

1 2 3 4 6 9 12 18 36 266,093 532,186 798,279 1,064,372 1,596,558 2,394,837 3,193,116 4,789,674 9,579,348

Collatz Trajectory (70 steps to reach 1)

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

9,579,348 4,789,674 2,394,837 7,184,512 3,592,256 1,796,128 898,064 449,032 224,516 112,258 56,129 168,388 84,194 42,097 126,292 63,146 31,573 94,720 47,360 23,680 11,840 5,920 2,960 1,480 740 370 185 556 278 139 418 209 628 314 157 472 236 118 59 178 89 268 134 67 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17 52

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