λ
Sigma Notebook

9,986,123

7 × 17 × 31 × 2707
Deficient Odd Composite

9,986,123 is odd and not a perfect square. Its factorization is 7 × 17 × 31 × 2707 and its 16 divisors sum to 12,478,464.

Prime Factor Structure

Factorization String 7 × 17 × 31 × 2707
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 12,478,464
Proper Divisor Sum 2,492,341
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #9986113 ← → #9986161

Radix Representation

Decimal 9986123
Binary 100110000110000001001011 (24 bits)
Octal 0o46060113
Hexadecimal 0x98604B

Divisor Catalog (16)

1 7 17 31 119 217 527 2,707 3,689 18,949 46,019 83,917 322,133 587,419 1,426,589 9,986,123

Collatz Trajectory (282 steps to reach 1)

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

9,986,123 29,958,370 14,979,185 44,937,556 22,468,778 11,234,389 33,703,168 16,851,584 8,425,792 4,212,896 2,106,448 1,053,224 526,612 263,306 131,653 394,960 197,480 98,740 49,370 24,685 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

More profiles

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