λ
Harmonic Matrix

9,134,360

23 × 5 × 228359
Abundant Even Composite

9,134,360 has digital root 8. The neighboring primes are 9134351 and 9134369; its proper-divisor sum differs from the starting integer by 2,283,680.

Prime Factor Structure

Factorization String 2^3 × 5 × 228359
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 20,552,400
Proper Divisor Sum 11,418,040
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #9134351 ← → #9134369

Radix Representation

Decimal 9134360
Binary 100010110110000100011000 (24 bits)
Octal 0o42660430
Hexadecimal 0x8B6118

Divisor Catalog (16)

1 2 4 5 8 10 20 40 228,359 456,718 913,436 1,141,795 1,826,872 2,283,590 4,567,180 9,134,360

Collatz Trajectory (57 steps to reach 1)

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

9,134,360 4,567,180 2,283,590 1,141,795 3,425,386 1,712,693 5,138,080 2,569,040 1,284,520 642,260 321,130 160,565 481,696 240,848 120,424 60,212 30,106 15,053 45,160 22,580 11,290 5,645 16,936 8,468 4,234 2,117 6,352 3,176 1,588 794 397 1,192 596 298 149 448 224 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

More profiles

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