9,504,575

5² × 47 × 8089

9,504,575 factors as 5^2 × 47 × 8089. Its 12 positive divisors give a proper-divisor sum of 2,533,345, so this integer is deficient. The Collatz stopping time is 150 steps.

Prime Factor Structure

Factorization String 5^2 × 47 × 8089

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 12,037,920

Proper Divisor Sum 2,533,345

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #9504571 ← → #9504601

Radix Representation

Decimal	9504575
Binary	100100010000011100111111 (24 bits)
Octal	0o44203477
Hexadecimal	0x91073F

Divisor Catalog (12)

1 5 25 47 235 1,175 8,089 40,445 202,225 380,183 1,900,915 9,504,575

Collatz Trajectory (150 steps to reach 1)

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

9,504,575 28,513,726 14,256,863 42,770,590 21,385,295 64,155,886 32,077,943 96,233,830 48,116,915 144,350,746 72,175,373 216,526,120 108,263,060 54,131,530 27,065,765 81,197,296 40,598,648 20,299,324 10,149,662 5,074,831 15,224,494 7,612,247 22,836,742 11,418,371 34,255,114 17,127,557 51,382,672 25,691,336 12,845,668 6,422,834 3,211,417 9,634,252 4,817,126 2,408,563 7,225,690 3,612,845 10,838,536 5,419,268 2,709,634 1,354,817 4,064,452 2,032,226 1,016,113 3,048,340 1,524,170 762,085 2,286,256 1,143,128 571,564 285,782 142,891 428,674 214,337 643,012 321,506 160,753 482,260 241,130 120,565 361,696

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