λ
Ratio Atlas
Atlas › Integer Profiles › Node 9,856,926

9,856,926

2 × 32 × 23 × 29 × 821
Abundant Even Composite

9,856,926 factors as 2 × 3^2 × 23 × 29 × 821. Its 48 positive divisors give a proper-divisor sum of 13,224,834, so this integer is abundant. The Collatz stopping time is 101 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 23 × 29 × 821
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 23,081,760
Proper Divisor Sum 13,224,834
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #9856919 ← → #9856927

Radix Representation

Decimal 9856926
Binary 100101100110011110011110 (24 bits)
Octal 0o45463636
Hexadecimal 0x96679E

Divisor Catalog (48)

1 2 3 6 9 18 23 29 46 58 69 87 138 174 207 261 414 522 667 821 1,334 1,642 2,001 2,463 4,002 4,926 6,003 7,389 12,006 14,778 18,883 23,809 37,766 47,618 56,649 71,427 113,298 142,854 169,947 214,281 339,894 428,562 547,607 1,095,214 1,642,821 3,285,642 4,928,463 9,856,926

Collatz Trajectory (101 steps to reach 1)

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

9,856,926 4,928,463 14,785,390 7,392,695 22,178,086 11,089,043 33,267,130 16,633,565 49,900,696 24,950,348 12,475,174 6,237,587 18,712,762 9,356,381 28,069,144 14,034,572 7,017,286 3,508,643 10,525,930 5,262,965 15,788,896 7,894,448 3,947,224 1,973,612 986,806 493,403 1,480,210 740,105 2,220,316 1,110,158 555,079 1,665,238 832,619 2,497,858 1,248,929 3,746,788 1,873,394 936,697 2,810,092 1,405,046 702,523 2,107,570 1,053,785 3,161,356 1,580,678 790,339 2,371,018 1,185,509 3,556,528 1,778,264 889,132 444,566 222,283 666,850 333,425 1,000,276 500,138 250,069 750,208 375,104

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #9,856,925 Browse Full Index Next Integer #9,856,927 →