λ
Harmonic Matrix

8,555,976

23 × 33 × 11 × 13 × 277
Abundant Even Composite

8,555,976 has digital root 9. The neighboring primes are 8555959 and 8555999; its proper-divisor sum differs from the starting integer by 10,910,448.

Prime Factor Structure

Factorization String 2^3 × 3^3 × 11 × 13 × 277
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 128
Divisor Sum (σ) 28,022,400
Proper Divisor Sum 19,466,424
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #8555959 ← → #8555999

Radix Representation

Decimal 8555976
Binary 100000101000110111001000 (24 bits)
Octal 0o40506710
Hexadecimal 0x828DC8

Divisor Catalog (60 of 128)

1 2 3 4 6 8 9 11 12 13 18 22 24 26 27 33 36 39 44 52 54 66 72 78 88 99 104 108 117 132 143 156 198 216 234 264 277 286 297 312 351 396 429 468 554 572 594 702 792 831 858 936 1,108 1,144 1,188 1,287 1,404 1,662 1,716 2,216

Collatz Trajectory (124 steps to reach 1)

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

8,555,976 4,277,988 2,138,994 1,069,497 3,208,492 1,604,246 802,123 2,406,370 1,203,185 3,609,556 1,804,778 902,389 2,707,168 1,353,584 676,792 338,396 169,198 84,599 253,798 126,899 380,698 190,349 571,048 285,524 142,762 71,381 214,144 107,072 53,536 26,768 13,384 6,692 3,346 1,673 5,020 2,510 1,255 3,766 1,883 5,650 2,825 8,476 4,238 2,119 6,358 3,179 9,538 4,769 14,308 7,154 3,577 10,732 5,366 2,683 8,050 4,025 12,076 6,038 3,019 9,058

More profiles

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