λ
Harmonic Matrix

9,681,460

22 × 5 × 367 × 1319
Abundant Even Composite

9,681,460 has digital root 7. The neighboring primes are 9681443 and 9681481; its proper-divisor sum differs from the starting integer by 1,039,000.

Prime Factor Structure

Factorization String 2^2 × 5 × 367 × 1319
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 20,401,920
Proper Divisor Sum 10,720,460
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #9681443 ← → #9681481

Radix Representation

Decimal 9681460
Binary 100100111011101000110100 (24 bits)
Octal 0o44735064
Hexadecimal 0x93BA34

Divisor Catalog (24)

1 2 4 5 10 20 367 734 1,319 1,468 1,835 2,638 3,670 5,276 6,595 7,340 13,190 26,380 484,073 968,146 1,936,292 2,420,365 4,840,730 9,681,460

Collatz Trajectory (70 steps to reach 1)

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

9,681,460 4,840,730 2,420,365 7,261,096 3,630,548 1,815,274 907,637 2,722,912 1,361,456 680,728 340,364 170,182 85,091 255,274 127,637 382,912 191,456 95,728 47,864 23,932 11,966 5,983 17,950 8,975 26,926 13,463 40,390 20,195 60,586 30,293 90,880 45,440 22,720 11,360 5,680 2,840 1,420 710 355 1,066 533 1,600 800 400 200 100 50 25 76 38 19 58 29 88 44 22 11 34 17 52

More profiles

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