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Atlas › Integer Profiles › Node 9,720,160

9,720,160

25 × 5 × 79 × 769
Abundant Even Composite

9,720,160 factors as 2^5 × 5 × 79 × 769. Its 48 positive divisors give a proper-divisor sum of 13,564,640, so this integer is abundant. The Collatz stopping time is 62 steps.

Prime Factor Structure

Factorization String 2^5 × 5 × 79 × 769
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 23,284,800
Proper Divisor Sum 13,564,640
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #9720149 ← → #9720163

Radix Representation

Decimal 9720160
Binary 100101000101000101100000 (24 bits)
Octal 0o45050540
Hexadecimal 0x945160

Divisor Catalog (48)

1 2 4 5 8 10 16 20 32 40 79 80 158 160 316 395 632 769 790 1,264 1,538 1,580 2,528 3,076 3,160 3,845 6,152 6,320 7,690 12,304 12,640 15,380 24,608 30,760 60,751 61,520 121,502 123,040 243,004 303,755 486,008 607,510 972,016 1,215,020 1,944,032 2,430,040 4,860,080 9,720,160

Collatz Trajectory (62 steps to reach 1)

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

9,720,160 4,860,080 2,430,040 1,215,020 607,510 303,755 911,266 455,633 1,366,900 683,450 341,725 1,025,176 512,588 256,294 128,147 384,442 192,221 576,664 288,332 144,166 72,083 216,250 108,125 324,376 162,188 81,094 40,547 121,642 60,821 182,464 91,232 45,616 22,808 11,404 5,702 2,851 8,554 4,277 12,832 6,416 3,208 1,604 802 401 1,204 602 301 904 452 226 113 340 170 85 256 128 64 32 16 8

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