λ
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Atlas › Integer Profiles › Node 9,986,216

9,986,216

23 × 31 × 67 × 601
Deficient Even Composite

9,986,216 factors as 2^3 × 31 × 67 × 601. Its 32 positive divisors give a proper-divisor sum of 9,663,064, so this integer is deficient. The Collatz stopping time is 282 steps.

Prime Factor Structure

Factorization String 2^3 × 31 × 67 × 601
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 19,649,280
Proper Divisor Sum 9,663,064
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #9986213 ← → #9986227

Radix Representation

Decimal 9986216
Binary 100110000110000010101000 (24 bits)
Octal 0o46060250
Hexadecimal 0x9860A8

Divisor Catalog (32)

1 2 4 8 31 62 67 124 134 248 268 536 601 1,202 2,077 2,404 4,154 4,808 8,308 16,616 18,631 37,262 40,267 74,524 80,534 149,048 161,068 322,136 1,248,277 2,496,554 4,993,108 9,986,216

Collatz Trajectory (282 steps to reach 1)

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

9,986,216 4,993,108 2,496,554 1,248,277 3,744,832 1,872,416 936,208 468,104 234,052 117,026 58,513 175,540 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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