λ
Ratio Atlas
Atlas › Integer Profiles › Node 65,249,145
65,249,145
310 × 5 × 13 × 17
Abundant Odd Composite

Prime Factor Structure

Factorization String 3^10 × 5 × 13 × 17
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 88
Divisor Sum (σ) 133,922,376
Proper Divisor Sum 68,673,231
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #65249143 ← → #65249209

Radix Representation

Decimal 65249145
Binary 11111000111001111101111001 (26 bits)
Octal 0o370717571
Hexadecimal 0x3E39F79

Divisor Catalog (60 of 88)

1 3 5 9 13 15 17 27 39 45 51 65 81 85 117 135 153 195 221 243 255 351 405 459 585 663 729 765 1,053 1,105 1,215 1,377 1,755 1,989 2,187 2,295 3,159 3,315 3,645 4,131 5,265 5,967 6,561 6,885 9,477 9,945 10,935 12,393 15,795 17,901 19,683 20,655 28,431 29,835 32,805 37,179 47,385 53,703 59,049 61,965

Collatz Trajectory (140 steps to reach 1)

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

65,249,145 195,747,436 97,873,718 48,936,859 146,810,578 73,405,289 220,215,868 110,107,934 55,053,967 165,161,902 82,580,951 247,742,854 123,871,427 371,614,282 185,807,141 557,421,424 278,710,712 139,355,356 69,677,678 34,838,839 104,516,518 52,258,259 156,774,778 78,387,389 235,162,168 117,581,084 58,790,542 29,395,271 88,185,814 44,092,907 132,278,722 66,139,361 198,418,084 99,209,042 49,604,521 148,813,564 74,406,782 37,203,391 111,610,174 55,805,087 167,415,262 83,707,631 251,122,894 125,561,447 376,684,342 188,342,171 565,026,514 282,513,257 847,539,772 423,769,886 211,884,943 635,654,830 317,827,415 953,482,246 476,741,123 1,430,223,370 715,111,685 2,145,335,056 1,072,667,528 536,333,764

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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