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9,506,520

23 × 32 × 5 × 26407
Abundant Even Composite

9,506,520 factors as 2^3 × 3^2 × 5 × 26407. Its 48 positive divisors give a proper-divisor sum of 21,390,840, so this integer is abundant. The Collatz stopping time is 101 steps.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 5 × 26407
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 30,897,360
Proper Divisor Sum 21,390,840
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #9506501 ← → #9506527

Radix Representation

Decimal 9506520
Binary 100100010000111011011000 (24 bits)
Octal 0o44207330
Hexadecimal 0x910ED8

Divisor Catalog (48)

1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 26,407 52,814 79,221 105,628 132,035 158,442 211,256 237,663 264,070 316,884 396,105 475,326 528,140 633,768 792,210 950,652 1,056,280 1,188,315 1,584,420 1,901,304 2,376,630 3,168,840 4,753,260 9,506,520

Collatz Trajectory (101 steps to reach 1)

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

9,506,520 4,753,260 2,376,630 1,188,315 3,564,946 1,782,473 5,347,420 2,673,710 1,336,855 4,010,566 2,005,283 6,015,850 3,007,925 9,023,776 4,511,888 2,255,944 1,127,972 563,986 281,993 845,980 422,990 211,495 634,486 317,243 951,730 475,865 1,427,596 713,798 356,899 1,070,698 535,349 1,606,048 803,024 401,512 200,756 100,378 50,189 150,568 75,284 37,642 18,821 56,464 28,232 14,116 7,058 3,529 10,588 5,294 2,647 7,942 3,971 11,914 5,957 17,872 8,936 4,468 2,234 1,117 3,352 1,676

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