λ
Ratio Atlas
Atlas › Integer Profiles › Node 77,611,644
77,611,644
22 × 32 × 11 × 37 × 5297
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3^2 × 11 × 37 × 5297
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 219,845,808
Proper Divisor Sum 142,234,164
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #77611643 ← → #77611657

Radix Representation

Decimal 77611644
Binary 100101000000100001001111100 (27 bits)
Octal 0o450041174
Hexadecimal 0x4A0427C

Divisor Catalog (60 of 72)

1 2 3 4 6 9 11 12 18 22 33 36 37 44 66 74 99 111 132 148 198 222 333 396 407 444 666 814 1,221 1,332 1,628 2,442 3,663 4,884 5,297 7,326 10,594 14,652 15,891 21,188 31,782 47,673 58,267 63,564 95,346 116,534 174,801 190,692 195,989 233,068 349,602 391,978 524,403 587,967 699,204 783,956 1,048,806 1,175,934 1,763,901 2,097,612

Collatz Trajectory (210 steps to reach 1)

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

77,611,644 38,805,822 19,402,911 58,208,734 29,104,367 87,313,102 43,656,551 130,969,654 65,484,827 196,454,482 98,227,241 294,681,724 147,340,862 73,670,431 221,011,294 110,505,647 331,516,942 165,758,471 497,275,414 248,637,707 745,913,122 372,956,561 1,118,869,684 559,434,842 279,717,421 839,152,264 419,576,132 209,788,066 104,894,033 314,682,100 157,341,050 78,670,525 236,011,576 118,005,788 59,002,894 29,501,447 88,504,342 44,252,171 132,756,514 66,378,257 199,134,772 99,567,386 49,783,693 149,351,080 74,675,540 37,337,770 18,668,885 56,006,656 28,003,328 14,001,664 7,000,832 3,500,416 1,750,208 875,104 437,552 218,776 109,388 54,694 27,347 82,042

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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