λ
Ratio Atlas
Atlas › Integer Profiles › Node 10,240,450

10,240,450

2 × 52 × 11 × 43 × 433
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 5^2 × 11 × 43 × 433
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 21,311,136
Proper Divisor Sum 11,070,686
Digit Sum / Digital Root 16 (Root: 7)
Adjacent Primes #10240423 ← → #10240469

Radix Representation

Decimal 10240450
Binary 100111000100000111000010 (24 bits)
Octal 0o47040702
Hexadecimal 0x9C41C2

Divisor Catalog (48)

1 2 5 10 11 22 25 43 50 55 86 110 215 275 430 433 473 550 866 946 1,075 2,150 2,165 2,365 4,330 4,730 4,763 9,526 10,825 11,825 18,619 21,650 23,650 23,815 37,238 47,630 93,095 119,075 186,190 204,809 238,150 409,618 465,475 930,950 1,024,045 2,048,090 5,120,225 10,240,450

Collatz Trajectory (132 steps to reach 1)

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

10,240,450 5,120,225 15,360,676 7,680,338 3,840,169 11,520,508 5,760,254 2,880,127 8,640,382 4,320,191 12,960,574 6,480,287 19,440,862 9,720,431 29,161,294 14,580,647 43,741,942 21,870,971 65,612,914 32,806,457 98,419,372 49,209,686 24,604,843 73,814,530 36,907,265 110,721,796 55,360,898 27,680,449 83,041,348 41,520,674 20,760,337 62,281,012 31,140,506 15,570,253 46,710,760 23,355,380 11,677,690 5,838,845 17,516,536 8,758,268 4,379,134 2,189,567 6,568,702 3,284,351 9,853,054 4,926,527 14,779,582 7,389,791 22,169,374 11,084,687 33,254,062 16,627,031 49,881,094 24,940,547 74,821,642 37,410,821 112,232,464 56,116,232 28,058,116 14,029,058

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #10,240,449 Browse Full Index Next Integer #10,240,451 →