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Atlas › Integer Profiles › Node 9,060,520

9,060,520

23 × 5 × 7 × 32359
Abundant Even Composite

9,060,520 factors as 2^3 × 5 × 7 × 32359. Its 32 positive divisors give a proper-divisor sum of 14,238,680, so this integer is abundant. The Collatz stopping time is 93 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 7 × 32359
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 23,299,200
Proper Divisor Sum 14,238,680
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #9060503 ← → #9060547

Radix Representation

Decimal 9060520
Binary 100010100100000010101000 (24 bits)
Octal 0o42440250
Hexadecimal 0x8A40A8

Divisor Catalog (32)

1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 32,359 64,718 129,436 161,795 226,513 258,872 323,590 453,026 647,180 906,052 1,132,565 1,294,360 1,812,104 2,265,130 4,530,260 9,060,520

Collatz Trajectory (93 steps to reach 1)

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

9,060,520 4,530,260 2,265,130 1,132,565 3,397,696 1,698,848 849,424 424,712 212,356 106,178 53,089 159,268 79,634 39,817 119,452 59,726 29,863 89,590 44,795 134,386 67,193 201,580 100,790 50,395 151,186 75,593 226,780 113,390 56,695 170,086 85,043 255,130 127,565 382,696 191,348 95,674 47,837 143,512 71,756 35,878 17,939 53,818 26,909 80,728 40,364 20,182 10,091 30,274 15,137 45,412 22,706 11,353 34,060 17,030 8,515 25,546 12,773 38,320 19,160 9,580

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