λ
Ratio Atlas
Atlas › Integer Profiles › Node 65,317,424
65,317,424
24 × 23 × 177493
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 23 × 177493
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 132,055,536
Proper Divisor Sum 66,738,112
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #65317411 ← → #65317433

Radix Representation

Decimal 65317424
Binary 11111001001010101000110000 (26 bits)
Octal 0o371125060
Hexadecimal 0x3E4AA30

Divisor Catalog (20)

1 2 4 8 16 23 46 92 184 368 177,493 354,986 709,972 1,419,944 2,839,888 4,082,339 8,164,678 16,329,356 32,658,712 65,317,424

Collatz Trajectory (189 steps to reach 1)

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

65,317,424 32,658,712 16,329,356 8,164,678 4,082,339 12,247,018 6,123,509 18,370,528 9,185,264 4,592,632 2,296,316 1,148,158 574,079 1,722,238 861,119 2,583,358 1,291,679 3,875,038 1,937,519 5,812,558 2,906,279 8,718,838 4,359,419 13,078,258 6,539,129 19,617,388 9,808,694 4,904,347 14,713,042 7,356,521 22,069,564 11,034,782 5,517,391 16,552,174 8,276,087 24,828,262 12,414,131 37,242,394 18,621,197 55,863,592 27,931,796 13,965,898 6,982,949 20,948,848 10,474,424 5,237,212 2,618,606 1,309,303 3,927,910 1,963,955 5,891,866 2,945,933 8,837,800 4,418,900 2,209,450 1,104,725 3,314,176 1,657,088 828,544 414,272

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 #6,573,969 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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