9,504,927

3² × 463 × 2281

9,504,927 has digital root 9. The neighboring primes are 9504919 and 9504931; its proper-divisor sum differs from the starting integer by -5,244,830.

Prime Factor Structure

Factorization String 3^2 × 463 × 2281

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 13,765,024

Proper Divisor Sum 4,260,097

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #9504919 ← → #9504931

Radix Representation

Decimal	9504927
Binary	100100010000100010011111 (24 bits)
Octal	0o44204237
Hexadecimal	0x91089F

Divisor Catalog (12)

1 3 9 463 1,389 2,281 4,167 6,843 20,529 1,056,103 3,168,309 9,504,927

Collatz Trajectory (238 steps to reach 1)

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

9,504,927 28,514,782 14,257,391 42,772,174 21,386,087 64,158,262 32,079,131 96,237,394 48,118,697 144,356,092 72,178,046 36,089,023 108,267,070 54,133,535 162,400,606 81,200,303 243,600,910 121,800,455 365,401,366 182,700,683 548,102,050 274,051,025 822,153,076 411,076,538 205,538,269 616,614,808 308,307,404 154,153,702 77,076,851 231,230,554 115,615,277 346,845,832 173,422,916 86,711,458 43,355,729 130,067,188 65,033,594 32,516,797 97,550,392 48,775,196 24,387,598 12,193,799 36,581,398 18,290,699 54,872,098 27,436,049 82,308,148 41,154,074 20,577,037 61,731,112 30,865,556 15,432,778 7,716,389 23,149,168 11,574,584 5,787,292 2,893,646 1,446,823 4,340,470 2,170,235

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