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Atlas › Integer Profiles › Node 8,968,720

8,968,720

24 × 5 × 71 × 1579
Abundant Even Composite

8,968,720 factors as 2^4 × 5 × 71 × 1579. Its 40 positive divisors give a proper-divisor sum of 12,190,640, so this integer is abundant. The Collatz stopping time is 212 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 71 × 1579
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 21,159,360
Proper Divisor Sum 12,190,640
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #8968693 ← → #8968721

Radix Representation

Decimal 8968720
Binary 100010001101101000010000 (24 bits)
Octal 0o42155020
Hexadecimal 0x88DA10

Divisor Catalog (40)

1 2 4 5 8 10 16 20 40 71 80 142 284 355 568 710 1,136 1,420 1,579 2,840 3,158 5,680 6,316 7,895 12,632 15,790 25,264 31,580 63,160 112,109 126,320 224,218 448,436 560,545 896,872 1,121,090 1,793,744 2,242,180 4,484,360 8,968,720

Collatz Trajectory (212 steps to reach 1)

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

8,968,720 4,484,360 2,242,180 1,121,090 560,545 1,681,636 840,818 420,409 1,261,228 630,614 315,307 945,922 472,961 1,418,884 709,442 354,721 1,064,164 532,082 266,041 798,124 399,062 199,531 598,594 299,297 897,892 448,946 224,473 673,420 336,710 168,355 505,066 252,533 757,600 378,800 189,400 94,700 47,350 23,675 71,026 35,513 106,540 53,270 26,635 79,906 39,953 119,860 59,930 29,965 89,896 44,948 22,474 11,237 33,712 16,856 8,428 4,214 2,107 6,322 3,161 9,484

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