9,237,582

2 × 3² × 23 × 53 × 421

9,237,582 has the prime decomposition 2 × 3^2 × 23 × 53 × 421. Its 5 distinct prime factors produce 48 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 23 × 53 × 421

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 21,329,568

Proper Divisor Sum 12,091,986

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #9237581 ← → #9237593

Radix Representation

Decimal	9237582
Binary	100011001111010001001110 (24 bits)
Octal	0o43172116
Hexadecimal	0x8CF44E

Divisor Catalog (48)

1 2 3 6 9 18 23 46 53 69 106 138 159 207 318 414 421 477 842 954 1,219 1,263 2,438 2,526 3,657 3,789 7,314 7,578 9,683 10,971 19,366 21,942 22,313 29,049 44,626 58,098 66,939 87,147 133,878 174,294 200,817 401,634 513,199 1,026,398 1,539,597 3,079,194 4,618,791 9,237,582

Collatz Trajectory (194 steps to reach 1)

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

9,237,582 4,618,791 13,856,374 6,928,187 20,784,562 10,392,281 31,176,844 15,588,422 7,794,211 23,382,634 11,691,317 35,073,952 17,536,976 8,768,488 4,384,244 2,192,122 1,096,061 3,288,184 1,644,092 822,046 411,023 1,233,070 616,535 1,849,606 924,803 2,774,410 1,387,205 4,161,616 2,080,808 1,040,404 520,202 260,101 780,304 390,152 195,076 97,538 48,769 146,308 73,154 36,577 109,732 54,866 27,433 82,300 41,150 20,575 61,726 30,863 92,590 46,295 138,886 69,443 208,330 104,165 312,496 156,248 78,124 39,062 19,531 58,594

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