λ
Harmonic Matrix

8,638,478

2 × 23 × 187793
Deficient Even Composite

8,638,478 has digital root 8. The neighboring primes are 8638477 and 8638481; its proper-divisor sum differs from the starting integer by -3,755,788.

Prime Factor Structure

Factorization String 2 × 23 × 187793
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 13,521,168
Proper Divisor Sum 4,882,690
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #8638477 ← → #8638481

Radix Representation

Decimal 8638478
Binary 100000111101000000001110 (24 bits)
Octal 0o40750016
Hexadecimal 0x83D00E

Divisor Catalog (8)

1 2 23 46 187,793 375,586 4,319,239 8,638,478

Collatz Trajectory (67 steps to reach 1)

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

8,638,478 4,319,239 12,957,718 6,478,859 19,436,578 9,718,289 29,154,868 14,577,434 7,288,717 21,866,152 10,933,076 5,466,538 2,733,269 8,199,808 4,099,904 2,049,952 1,024,976 512,488 256,244 128,122 64,061 192,184 96,092 48,046 24,023 72,070 36,035 108,106 54,053 162,160 81,080 40,540 20,270 10,135 30,406 15,203 45,610 22,805 68,416 34,208 17,104 8,552 4,276 2,138 1,069 3,208 1,604 802 401 1,204 602 301 904 452 226 113 340 170 85 256

More profiles

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