λ
Harmonic Matrix

8,768,908

22 × 31 × 70717
Deficient Even Composite

8,768,908 has digital root 1. The neighboring primes are 8768891 and 8768909; its proper-divisor sum differs from the starting integer by -1,696,984.

Prime Factor Structure

Factorization String 2^2 × 31 × 70717
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 15,840,832
Proper Divisor Sum 7,071,924
Digit Sum / Digital Root 46 (Root: 1)
Adjacent Primes #8768891 ← → #8768909

Radix Representation

Decimal 8768908
Binary 100001011100110110001100 (24 bits)
Octal 0o41346614
Hexadecimal 0x85CD8C

Divisor Catalog (12)

1 2 4 31 62 124 70,717 141,434 282,868 2,192,227 4,384,454 8,768,908

Collatz Trajectory (93 steps to reach 1)

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

8,768,908 4,384,454 2,192,227 6,576,682 3,288,341 9,865,024 4,932,512 2,466,256 1,233,128 616,564 308,282 154,141 462,424 231,212 115,606 57,803 173,410 86,705 260,116 130,058 65,029 195,088 97,544 48,772 24,386 12,193 36,580 18,290 9,145 27,436 13,718 6,859 20,578 10,289 30,868 15,434 7,717 23,152 11,576 5,788 2,894 1,447 4,342 2,171 6,514 3,257 9,772 4,886 2,443 7,330 3,665 10,996 5,498 2,749 8,248 4,124 2,062 1,031 3,094 1,547

More profiles

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