λ
Harmonic Matrix

9,576,306

2 × 34 × 59113
Abundant Even Composite

9,576,306 has digital root 9. The neighboring primes are 9576299 and 9576313; its proper-divisor sum differs from the starting integer by 2,305,770.

Prime Factor Structure

Factorization String 2 × 3^4 × 59113
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 21,458,382
Proper Divisor Sum 11,882,076
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #9576299 ← → #9576313

Radix Representation

Decimal 9576306
Binary 100100100001111101110010 (24 bits)
Octal 0o44417562
Hexadecimal 0x921F72

Divisor Catalog (20)

1 2 3 6 9 18 27 54 81 162 59,113 118,226 177,339 354,678 532,017 1,064,034 1,596,051 3,192,102 4,788,153 9,576,306

Collatz Trajectory (282 steps to reach 1)

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

9,576,306 4,788,153 14,364,460 7,182,230 3,591,115 10,773,346 5,386,673 16,160,020 8,080,010 4,040,005 12,120,016 6,060,008 3,030,004 1,515,002 757,501 2,272,504 1,136,252 568,126 284,063 852,190 426,095 1,278,286 639,143 1,917,430 958,715 2,876,146 1,438,073 4,314,220 2,157,110 1,078,555 3,235,666 1,617,833 4,853,500 2,426,750 1,213,375 3,640,126 1,820,063 5,460,190 2,730,095 8,190,286 4,095,143 12,285,430 6,142,715 18,428,146 9,214,073 27,642,220 13,821,110 6,910,555 20,731,666 10,365,833 31,097,500 15,548,750 7,774,375 23,323,126 11,661,563 34,984,690 17,492,345 52,477,036 26,238,518 13,119,259

More profiles

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