λ
Ratio Atlas
Atlas › Integer Profiles › Node 21,790,782
21,790,782
2 × 35 × 13 × 3449
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^5 × 13 × 3449
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 52,743,600
Proper Divisor Sum 30,952,818
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #21790711 ← → #21790801

Radix Representation

Decimal 21790782
Binary 1010011001000000000111110 (25 bits)
Octal 0o123100076
Hexadecimal 0x14C803E

Divisor Catalog (48)

1 2 3 6 9 13 18 26 27 39 54 78 81 117 162 234 243 351 486 702 1,053 2,106 3,159 3,449 6,318 6,898 10,347 20,694 31,041 44,837 62,082 89,674 93,123 134,511 186,246 269,022 279,369 403,533 558,738 807,066 838,107 1,210,599 1,676,214 2,421,198 3,631,797 7,263,594 10,895,391 21,790,782

Collatz Trajectory (172 steps to reach 1)

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

21,790,782 10,895,391 32,686,174 16,343,087 49,029,262 24,514,631 73,543,894 36,771,947 110,315,842 55,157,921 165,473,764 82,736,882 41,368,441 124,105,324 62,052,662 31,026,331 93,078,994 46,539,497 139,618,492 69,809,246 34,904,623 104,713,870 52,356,935 157,070,806 78,535,403 235,606,210 117,803,105 353,409,316 176,704,658 88,352,329 265,056,988 132,528,494 66,264,247 198,792,742 99,396,371 298,189,114 149,094,557 447,283,672 223,641,836 111,820,918 55,910,459 167,731,378 83,865,689 251,597,068 125,798,534 62,899,267 188,697,802 94,348,901 283,046,704 141,523,352 70,761,676 35,380,838 17,690,419 53,071,258 26,535,629 79,606,888 39,803,444 19,901,722 9,950,861 29,852,584

Active Feeder Network

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

Feeder #3,913,373 Feeder #8,365,252 Feeder #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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