9,267,580

2² × 5 × 7 × 53 × 1249

9,267,580 is even and not a perfect square. Its factorization is 2^2 × 5 × 7 × 53 × 1249 and its 48 divisors sum to 22,680,000.

Prime Factor Structure

Factorization String 2^2 × 5 × 7 × 53 × 1249

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 22,680,000

Proper Divisor Sum 13,412,420

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #9267563 ← → #9267581

Radix Representation

Decimal	9267580
Binary	100011010110100101111100 (24 bits)
Octal	0o43264574
Hexadecimal	0x8D697C

Divisor Catalog (48)

1 2 4 5 7 10 14 20 28 35 53 70 106 140 212 265 371 530 742 1,060 1,249 1,484 1,855 2,498 3,710 4,996 6,245 7,420 8,743 12,490 17,486 24,980 34,972 43,715 66,197 87,430 132,394 174,860 264,788 330,985 463,379 661,970 926,758 1,323,940 1,853,516 2,316,895 4,633,790 9,267,580

Collatz Trajectory (331 steps to reach 1)

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

9,267,580 4,633,790 2,316,895 6,950,686 3,475,343 10,426,030 5,213,015 15,639,046 7,819,523 23,458,570 11,729,285 35,187,856 17,593,928 8,796,964 4,398,482 2,199,241 6,597,724 3,298,862 1,649,431 4,948,294 2,474,147 7,422,442 3,711,221 11,133,664 5,566,832 2,783,416 1,391,708 695,854 347,927 1,043,782 521,891 1,565,674 782,837 2,348,512 1,174,256 587,128 293,564 146,782 73,391 220,174 110,087 330,262 165,131 495,394 247,697 743,092 371,546 185,773 557,320 278,660 139,330 69,665 208,996 104,498 52,249 156,748 78,374 39,187 117,562 58,781

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