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Atlas › Integer Profiles › Node 8,972,080

8,972,080

24 × 5 × 13 × 8627
Abundant Even Composite

8,972,080 factors as 2^4 × 5 × 13 × 8627. Its 40 positive divisors give a proper-divisor sum of 13,495,232, so this integer is abundant. The Collatz stopping time is 225 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 13 × 8627
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 22,467,312
Proper Divisor Sum 13,495,232
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #8972069 ← → #8972081

Radix Representation

Decimal 8972080
Binary 100010001110011100110000 (24 bits)
Octal 0o42163460
Hexadecimal 0x88E730

Divisor Catalog (40)

1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1,040 8,627 17,254 34,508 43,135 69,016 86,270 112,151 138,032 172,540 224,302 345,080 448,604 560,755 690,160 897,208 1,121,510 1,794,416 2,243,020 4,486,040 8,972,080

Collatz Trajectory (225 steps to reach 1)

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

8,972,080 4,486,040 2,243,020 1,121,510 560,755 1,682,266 841,133 2,523,400 1,261,700 630,850 315,425 946,276 473,138 236,569 709,708 354,854 177,427 532,282 266,141 798,424 399,212 199,606 99,803 299,410 149,705 449,116 224,558 112,279 336,838 168,419 505,258 252,629 757,888 378,944 189,472 94,736 47,368 23,684 11,842 5,921 17,764 8,882 4,441 13,324 6,662 3,331 9,994 4,997 14,992 7,496 3,748 1,874 937 2,812 1,406 703 2,110 1,055 3,166 1,583

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