λ
Sigma Notebook

9,989,312

26 × 127 × 1229
Abundant Even Composite

9,989,312 is even and not a perfect square. Its factorization is 2^6 × 127 × 1229 and its 28 divisors sum to 19,994,880.

Prime Factor Structure

Factorization String 2^6 × 127 × 1229
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 19,994,880
Proper Divisor Sum 10,005,568
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #9989293 ← → #9989321

Radix Representation

Decimal 9989312
Binary 100110000110110011000000 (24 bits)
Octal 0o46066300
Hexadecimal 0x986CC0

Divisor Catalog (28)

1 2 4 8 16 32 64 127 254 508 1,016 1,229 2,032 2,458 4,064 4,916 8,128 9,832 19,664 39,328 78,656 156,083 312,166 624,332 1,248,664 2,497,328 4,994,656 9,989,312

Collatz Trajectory (70 steps to reach 1)

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

9,989,312 4,994,656 2,497,328 1,248,664 624,332 312,166 156,083 468,250 234,125 702,376 351,188 175,594 87,797 263,392 131,696 65,848 32,924 16,462 8,231 24,694 12,347 37,042 18,521 55,564 27,782 13,891 41,674 20,837 62,512 31,256 15,628 7,814 3,907 11,722 5,861 17,584 8,792 4,396 2,198 1,099 3,298 1,649 4,948 2,474 1,237 3,712 1,856 928 464 232 116 58 29 88 44 22 11 34 17 52

More profiles

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