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Atlas › Integer Profiles › Node 9,986,152

9,986,152

23 × 11 × 37 × 3067
Abundant Even Composite

9,986,152 factors as 2^3 × 11 × 37 × 3067. Its 32 positive divisors give a proper-divisor sum of 10,998,968, so this integer is abundant. The Collatz stopping time is 282 steps.

Prime Factor Structure

Factorization String 2^3 × 11 × 37 × 3067
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 20,985,120
Proper Divisor Sum 10,998,968
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #9986113 ← → #9986161

Radix Representation

Decimal 9986152
Binary 100110000110000001101000 (24 bits)
Octal 0o46060150
Hexadecimal 0x986068

Divisor Catalog (32)

1 2 4 8 11 22 37 44 74 88 148 296 407 814 1,628 3,067 3,256 6,134 12,268 24,536 33,737 67,474 113,479 134,948 226,958 269,896 453,916 907,832 1,248,269 2,496,538 4,993,076 9,986,152

Collatz Trajectory (282 steps to reach 1)

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

9,986,152 4,993,076 2,496,538 1,248,269 3,744,808 1,872,404 936,202 468,101 1,404,304 702,152 351,076 175,538 87,769 263,308 131,654 65,827 197,482 98,741 296,224 148,112 74,056 37,028 18,514 9,257 27,772 13,886 6,943 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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