λ
Ratio Atlas
Atlas › Integer Profiles › Node 9,706,820

9,706,820

22 × 5 × 43 × 11287
Abundant Even Composite

9,706,820 factors as 2^2 × 5 × 43 × 11287. Its 24 positive divisors give a proper-divisor sum of 11,153,404, so this integer is abundant. The Collatz stopping time is 207 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 43 × 11287
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 20,860,224
Proper Divisor Sum 11,153,404
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #9706799 ← → #9706831

Radix Representation

Decimal 9706820
Binary 100101000001110101000100 (24 bits)
Octal 0o45016504
Hexadecimal 0x941D44

Divisor Catalog (24)

1 2 4 5 10 20 43 86 172 215 430 860 11,287 22,574 45,148 56,435 112,870 225,740 485,341 970,682 1,941,364 2,426,705 4,853,410 9,706,820

Collatz Trajectory (207 steps to reach 1)

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

9,706,820 4,853,410 2,426,705 7,280,116 3,640,058 1,820,029 5,460,088 2,730,044 1,365,022 682,511 2,047,534 1,023,767 3,071,302 1,535,651 4,606,954 2,303,477 6,910,432 3,455,216 1,727,608 863,804 431,902 215,951 647,854 323,927 971,782 485,891 1,457,674 728,837 2,186,512 1,093,256 546,628 273,314 136,657 409,972 204,986 102,493 307,480 153,740 76,870 38,435 115,306 57,653 172,960 86,480 43,240 21,620 10,810 5,405 16,216 8,108 4,054 2,027 6,082 3,041 9,124 4,562 2,281 6,844 3,422 1,711

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #9,706,819 Browse Full Index Next Integer #9,706,821 →