λ
Ratio Atlas
Atlas › Integer Profiles › Node 10,249,848
10,249,848
23 × 33 × 7 × 6779
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 3^3 × 7 × 6779
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 32,544,000
Proper Divisor Sum 22,294,152
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #10249823 ← → #10249853

Radix Representation

Decimal 10249848
Binary 100111000110011001111000 (24 bits)
Octal 0o47063170
Hexadecimal 0x9C6678

Divisor Catalog (60 of 64)

1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 504 756 1,512 6,779 13,558 20,337 27,116 40,674 47,453 54,232 61,011 81,348 94,906 122,022 142,359 162,696 183,033 189,812 244,044 284,718 366,066 379,624 427,077 488,088 569,436 732,132 854,154 1,138,872 1,281,231 1,464,264 1,708,308

Collatz Trajectory (145 steps to reach 1)

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

10,249,848 5,124,924 2,562,462 1,281,231 3,843,694 1,921,847 5,765,542 2,882,771 8,648,314 4,324,157 12,972,472 6,486,236 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 #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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