λ
Ratio Atlas
Atlas › Integer Profiles › Node 10,249,844
10,249,844
22 × 11 × 17 × 71 × 193
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 11 × 17 × 71 × 193
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 21,119,616
Proper Divisor Sum 10,869,772
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #10249823 ← → #10249853

Radix Representation

Decimal 10249844
Binary 100111000110011001110100 (24 bits)
Octal 0o47063164
Hexadecimal 0x9C6674

Divisor Catalog (48)

1 2 4 11 17 22 34 44 68 71 142 187 193 284 374 386 748 772 781 1,207 1,562 2,123 2,414 3,124 3,281 4,246 4,828 6,562 8,492 13,124 13,277 13,703 26,554 27,406 36,091 53,108 54,812 72,182 144,364 150,733 232,951 301,466 465,902 602,932 931,804 2,562,461 5,124,922 10,249,844

Collatz Trajectory (145 steps to reach 1)

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

10,249,844 5,124,922 2,562,461 7,687,384 3,843,692 1,921,846 960,923 2,882,770 1,441,385 4,324,156 2,162,078 1,081,039 3,243,118 1,621,559 4,864,678 2,432,339 7,297,018 3,648,509 10,945,528 5,472,764 2,736,382 1,368,191 4,104,574 2,052,287 6,156,862 3,078,431 9,235,294 4,617,647 13,852,942 6,926,471 20,779,414 10,389,707 31,169,122 15,584,561 46,753,684 23,376,842 11,688,421 35,065,264 17,532,632 8,766,316 4,383,158 2,191,579 6,574,738 3,287,369 9,862,108 4,931,054 2,465,527 7,396,582 3,698,291 11,094,874 5,547,437 16,642,312 8,321,156 4,160,578 2,080,289 6,240,868 3,120,434 1,560,217 4,680,652 2,340,326

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #6,573,969 Feeder #6,845,105 Feeder #8,750,980 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
← Previous Integer #10,249,843 Browse Full Index Next Integer #10,249,845 →