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Atlas › Integer Profiles › Node 9,109,746

9,109,746

2 × 34 × 53 × 1061
Abundant Even Composite

9,109,746 factors as 2 × 3^4 × 53 × 1061. Its 40 positive divisors give a proper-divisor sum of 11,707,578, so this integer is abundant. The Collatz stopping time is 132 steps.

Prime Factor Structure

Factorization String 2 × 3^4 × 53 × 1061
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 20,817,324
Proper Divisor Sum 11,707,578
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #9109729 ← → #9109757

Radix Representation

Decimal 9109746
Binary 100010110000000011110010 (24 bits)
Octal 0o42600362
Hexadecimal 0x8B00F2

Divisor Catalog (40)

1 2 3 6 9 18 27 53 54 81 106 159 162 318 477 954 1,061 1,431 2,122 2,862 3,183 4,293 6,366 8,586 9,549 19,098 28,647 56,233 57,294 85,941 112,466 168,699 171,882 337,398 506,097 1,012,194 1,518,291 3,036,582 4,554,873 9,109,746

Collatz Trajectory (132 steps to reach 1)

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

9,109,746 4,554,873 13,664,620 6,832,310 3,416,155 10,248,466 5,124,233 15,372,700 7,686,350 3,843,175 11,529,526 5,764,763 17,294,290 8,647,145 25,941,436 12,970,718 6,485,359 19,456,078 9,728,039 29,184,118 14,592,059 43,776,178 21,888,089 65,664,268 32,832,134 16,416,067 49,248,202 24,624,101 73,872,304 36,936,152 18,468,076 9,234,038 4,617,019 13,851,058 6,925,529 20,776,588 10,388,294 5,194,147 15,582,442 7,791,221 23,373,664 11,686,832 5,843,416 2,921,708 1,460,854 730,427 2,191,282 1,095,641 3,286,924 1,643,462 821,731 2,465,194 1,232,597 3,697,792 1,848,896 924,448 462,224 231,112 115,556 57,778

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