λ
Harmonic Matrix

9,059,080

23 × 5 × 37 × 6121
Abundant Even Composite

9,059,080 has digital root 4. The neighboring primes are 9059059 and 9059087; its proper-divisor sum differs from the starting integer by 2,819,080.

Prime Factor Structure

Factorization String 2^3 × 5 × 37 × 6121
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 20,937,240
Proper Divisor Sum 11,878,160
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #9059059 ← → #9059087

Radix Representation

Decimal 9059080
Binary 100010100011101100001000 (24 bits)
Octal 0o42435410
Hexadecimal 0x8A3B08

Divisor Catalog (32)

1 2 4 5 8 10 20 37 40 74 148 185 296 370 740 1,480 6,121 12,242 24,484 30,605 48,968 61,210 122,420 226,477 244,840 452,954 905,908 1,132,385 1,811,816 2,264,770 4,529,540 9,059,080

Collatz Trajectory (212 steps to reach 1)

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

9,059,080 4,529,540 2,264,770 1,132,385 3,397,156 1,698,578 849,289 2,547,868 1,273,934 636,967 1,910,902 955,451 2,866,354 1,433,177 4,299,532 2,149,766 1,074,883 3,224,650 1,612,325 4,836,976 2,418,488 1,209,244 604,622 302,311 906,934 453,467 1,360,402 680,201 2,040,604 1,020,302 510,151 1,530,454 765,227 2,295,682 1,147,841 3,443,524 1,721,762 860,881 2,582,644 1,291,322 645,661 1,936,984 968,492 484,246 242,123 726,370 363,185 1,089,556 544,778 272,389 817,168 408,584 204,292 102,146 51,073 153,220 76,610 38,305 114,916 57,458

More profiles

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