λ
Harmonic Matrix

8,825,464

23 × 1103183
Deficient Even Composite

8,825,464 has digital root 1. The neighboring primes are 8825461 and 8825471; its proper-divisor sum differs from the starting integer by -1,103,168.

Prime Factor Structure

Factorization String 2^3 × 1103183
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 16,547,760
Proper Divisor Sum 7,722,296
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #8825461 ← → #8825471

Radix Representation

Decimal 8825464
Binary 100001101010101001111000 (24 bits)
Octal 0o41525170
Hexadecimal 0x86AA78

Divisor Catalog (8)

1 2 4 8 1,103,183 2,206,366 4,412,732 8,825,464

Collatz Trajectory (93 steps to reach 1)

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

8,825,464 4,412,732 2,206,366 1,103,183 3,309,550 1,654,775 4,964,326 2,482,163 7,446,490 3,723,245 11,169,736 5,584,868 2,792,434 1,396,217 4,188,652 2,094,326 1,047,163 3,141,490 1,570,745 4,712,236 2,356,118 1,178,059 3,534,178 1,767,089 5,301,268 2,650,634 1,325,317 3,975,952 1,987,976 993,988 496,994 248,497 745,492 372,746 186,373 559,120 279,560 139,780 69,890 34,945 104,836 52,418 26,209 78,628 39,314 19,657 58,972 29,486 14,743 44,230 22,115 66,346 33,173 99,520 49,760 24,880 12,440 6,220 3,110 1,555

More profiles

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