λ
Harmonic Matrix

9,421,676

22 × 11 × 214129
Deficient Even Composite

9,421,676 has digital root 8. The neighboring primes are 9421673 and 9421679; its proper-divisor sum differs from the starting integer by -856,432.

Prime Factor Structure

Factorization String 2^2 × 11 × 214129
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 17,986,920
Proper Divisor Sum 8,565,244
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #9421673 ← → #9421679

Radix Representation

Decimal 9421676
Binary 100011111100001101101100 (24 bits)
Octal 0o43741554
Hexadecimal 0x8FC36C

Divisor Catalog (12)

1 2 4 11 22 44 214,129 428,258 856,516 2,355,419 4,710,838 9,421,676

Collatz Trajectory (150 steps to reach 1)

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

9,421,676 4,710,838 2,355,419 7,066,258 3,533,129 10,599,388 5,299,694 2,649,847 7,949,542 3,974,771 11,924,314 5,962,157 17,886,472 8,943,236 4,471,618 2,235,809 6,707,428 3,353,714 1,676,857 5,030,572 2,515,286 1,257,643 3,772,930 1,886,465 5,659,396 2,829,698 1,414,849 4,244,548 2,122,274 1,061,137 3,183,412 1,591,706 795,853 2,387,560 1,193,780 596,890 298,445 895,336 447,668 223,834 111,917 335,752 167,876 83,938 41,969 125,908 62,954 31,477 94,432 47,216 23,608 11,804 5,902 2,951 8,854 4,427 13,282 6,641 19,924 9,962

More profiles

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