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Atlas › Integer Profiles › Node 9,986,320

9,986,320

24 × 5 × 43 × 2903
Abundant Even Composite

9,986,320 factors as 2^4 × 5 × 43 × 2903. Its 40 positive divisors give a proper-divisor sum of 13,780,016, so this integer is abundant. The Collatz stopping time is 282 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 43 × 2903
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 23,766,336
Proper Divisor Sum 13,780,016
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #9986287 ← → #9986323

Radix Representation

Decimal 9986320
Binary 100110000110000100010000 (24 bits)
Octal 0o46060420
Hexadecimal 0x986110

Divisor Catalog (40)

1 2 4 5 8 10 16 20 40 43 80 86 172 215 344 430 688 860 1,720 2,903 3,440 5,806 11,612 14,515 23,224 29,030 46,448 58,060 116,120 124,829 232,240 249,658 499,316 624,145 998,632 1,248,290 1,997,264 2,496,580 4,993,160 9,986,320

Collatz Trajectory (282 steps to reach 1)

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

9,986,320 4,993,160 2,496,580 1,248,290 624,145 1,872,436 936,218 468,109 1,404,328 702,164 351,082 175,541 526,624 263,312 131,656 65,828 32,914 16,457 49,372 24,686 12,343 37,030 18,515 55,546 27,773 83,320 41,660 20,830 10,415 31,246 15,623 46,870 23,435 70,306 35,153 105,460 52,730 26,365 79,096 39,548 19,774 9,887 29,662 14,831 44,494 22,247 66,742 33,371 100,114 50,057 150,172 75,086 37,543 112,630 56,315 168,946 84,473 253,420 126,710 63,355

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