λ
Sigma Notebook

9,912,310

2 × 5 × 23 × 71 × 607
Deficient Even Composite

9,912,310 is even and not a perfect square. Its factorization is 2 × 5 × 23 × 71 × 607 and its 32 divisors sum to 18,911,232.

Prime Factor Structure

Factorization String 2 × 5 × 23 × 71 × 607
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 18,911,232
Proper Divisor Sum 8,998,922
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #9912307 ← → #9912311

Radix Representation

Decimal 9912310
Binary 100101110011111111110110 (24 bits)
Octal 0o45637766
Hexadecimal 0x973FF6

Divisor Catalog (32)

1 2 5 10 23 46 71 115 142 230 355 607 710 1,214 1,633 3,035 3,266 6,070 8,165 13,961 16,330 27,922 43,097 69,805 86,194 139,610 215,485 430,970 991,231 1,982,462 4,956,155 9,912,310

Collatz Trajectory (163 steps to reach 1)

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

9,912,310 4,956,155 14,868,466 7,434,233 22,302,700 11,151,350 5,575,675 16,727,026 8,363,513 25,090,540 12,545,270 6,272,635 18,817,906 9,408,953 28,226,860 14,113,430 7,056,715 21,170,146 10,585,073 31,755,220 15,877,610 7,938,805 23,816,416 11,908,208 5,954,104 2,977,052 1,488,526 744,263 2,232,790 1,116,395 3,349,186 1,674,593 5,023,780 2,511,890 1,255,945 3,767,836 1,883,918 941,959 2,825,878 1,412,939 4,238,818 2,119,409 6,358,228 3,179,114 1,589,557 4,768,672 2,384,336 1,192,168 596,084 298,042 149,021 447,064 223,532 111,766 55,883 167,650 83,825 251,476 125,738 62,869

More profiles

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