9,297,040

2⁴ × 5 × 251 × 463

9,297,040 has the prime decomposition 2^4 × 5 × 251 × 463. Its 4 distinct prime factors produce 40 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 5 × 251 × 463

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 21,748,608

Proper Divisor Sum 12,451,568

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #9297019 ← → #9297047

Radix Representation

Decimal	9297040
Binary	100011011101110010010000 (24 bits)
Octal	0o43356220
Hexadecimal	0x8DDC90

Divisor Catalog (40)

1 2 4 5 8 10 16 20 40 80 251 463 502 926 1,004 1,255 1,852 2,008 2,315 2,510 3,704 4,016 4,630 5,020 7,408 9,260 10,040 18,520 20,080 37,040 116,213 232,426 464,852 581,065 929,704 1,162,130 1,859,408 2,324,260 4,648,520 9,297,040

Collatz Trajectory (106 steps to reach 1)

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

9,297,040 4,648,520 2,324,260 1,162,130 581,065 1,743,196 871,598 435,799 1,307,398 653,699 1,961,098 980,549 2,941,648 1,470,824 735,412 367,706 183,853 551,560 275,780 137,890 68,945 206,836 103,418 51,709 155,128 77,564 38,782 19,391 58,174 29,087 87,262 43,631 130,894 65,447 196,342 98,171 294,514 147,257 441,772 220,886 110,443 331,330 165,665 496,996 248,498 124,249 372,748 186,374 93,187 279,562 139,781 419,344 209,672 104,836 52,418 26,209 78,628 39,314 19,657 58,972

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