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Atlas › Integer Profiles › Node 9,505,750

9,505,750

2 × 53 × 47 × 809
Deficient Even Composite

Prime Factor Structure

Factorization String 2 × 5^3 × 47 × 809
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 18,195,840
Proper Divisor Sum 8,690,090
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #9505733 ← → #9505751

Radix Representation

Decimal 9505750
Binary 100100010000101111010110 (24 bits)
Octal 0o44205726
Hexadecimal 0x910BD6

Divisor Catalog (32)

1 2 5 10 25 47 50 94 125 235 250 470 809 1,175 1,618 2,350 4,045 5,875 8,090 11,750 20,225 38,023 40,450 76,046 101,125 190,115 202,250 380,230 950,575 1,901,150 4,752,875 9,505,750

Collatz Trajectory (124 steps to reach 1)

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

9,505,750 4,752,875 14,258,626 7,129,313 21,387,940 10,693,970 5,346,985 16,040,956 8,020,478 4,010,239 12,030,718 6,015,359 18,046,078 9,023,039 27,069,118 13,534,559 40,603,678 20,301,839 60,905,518 30,452,759 91,358,278 45,679,139 137,037,418 68,518,709 205,556,128 102,778,064 51,389,032 25,694,516 12,847,258 6,423,629 19,270,888 9,635,444 4,817,722 2,408,861 7,226,584 3,613,292 1,806,646 903,323 2,709,970 1,354,985 4,064,956 2,032,478 1,016,239 3,048,718 1,524,359 4,573,078 2,286,539 6,859,618 3,429,809 10,289,428 5,144,714 2,572,357 7,717,072 3,858,536 1,929,268 964,634 482,317 1,446,952 723,476 361,738

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