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Atlas › Integer Profiles › Node 9,986,274

9,986,274

2 × 33 × 101 × 1831
Abundant Even Composite

9,986,274 factors as 2 × 3^3 × 101 × 1831. Its 32 positive divisors give a proper-divisor sum of 12,437,406, so this integer is abundant. The Collatz stopping time is 282 steps.

Prime Factor Structure

Factorization String 2 × 3^3 × 101 × 1831
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 22,423,680
Proper Divisor Sum 12,437,406
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #9986257 ← → #9986287

Radix Representation

Decimal 9986274
Binary 100110000110000011100010 (24 bits)
Octal 0o46060342
Hexadecimal 0x9860E2

Divisor Catalog (32)

1 2 3 6 9 18 27 54 101 202 303 606 909 1,818 1,831 2,727 3,662 5,454 5,493 10,986 16,479 32,958 49,437 98,874 184,931 369,862 554,793 1,109,586 1,664,379 3,328,758 4,993,137 9,986,274

Collatz Trajectory (282 steps to reach 1)

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

9,986,274 4,993,137 14,979,412 7,489,706 3,744,853 11,234,560 5,617,280 2,808,640 1,404,320 702,160 351,080 175,540 87,770 43,885 131,656 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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