λ
Ratio Atlas
Atlas › Integer Profiles › Node 10,459,826

10,459,826

2 × 13 × 37 × 83 × 131
Deficient Even Composite

10,459,826 factors as 2 × 13 × 37 × 83 × 131. Its 32 positive divisors give a proper-divisor sum of 7,236,622, so this integer is deficient. The Collatz stopping time is 388 steps.

Prime Factor Structure

Factorization String 2 × 13 × 37 × 83 × 131
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 17,696,448
Proper Divisor Sum 7,236,622
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #10459819 ← → #10459829

Radix Representation

Decimal 10459826
Binary 100111111001101010110010 (24 bits)
Octal 0o47715262
Hexadecimal 0x9F9AB2

Divisor Catalog (32)

1 2 13 26 37 74 83 131 166 262 481 962 1,079 1,703 2,158 3,071 3,406 4,847 6,142 9,694 10,873 21,746 39,923 63,011 79,846 126,022 141,349 282,698 402,301 804,602 5,229,913 10,459,826

Collatz Trajectory (388 steps to reach 1)

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

10,459,826 5,229,913 15,689,740 7,844,870 3,922,435 11,767,306 5,883,653 17,650,960 8,825,480 4,412,740 2,206,370 1,103,185 3,309,556 1,654,778 827,389 2,482,168 1,241,084 620,542 310,271 930,814 465,407 1,396,222 698,111 2,094,334 1,047,167 3,141,502 1,570,751 4,712,254 2,356,127 7,068,382 3,534,191 10,602,574 5,301,287 15,903,862 7,951,931 23,855,794 11,927,897 35,783,692 17,891,846 8,945,923 26,837,770 13,418,885 40,256,656 20,128,328 10,064,164 5,032,082 2,516,041 7,548,124 3,774,062 1,887,031 5,661,094 2,830,547 8,491,642 4,245,821 12,737,464 6,368,732 3,184,366 1,592,183 4,776,550 2,388,275

More profiles

Browse other published profiles and their separate link collections.

Profile #8,342,168 Profile #1,146,956 Profile #9,712,347 Profile #6,573,969 Profile #965,653 Profile #4,620,983 Profile #853,259 Profile #1,288,150
← Previous Integer #10,459,825 Browse Full Index Next Integer #10,459,827 →