λ
Ratio Atlas
Atlas › Integer Profiles › Node 31,036,768
31,036,768
25 × 7 × 127 × 1091
Abundant Even Composite

Prime Factor Structure

Factorization String 2^5 × 7 × 127 × 1091
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 70,447,104
Proper Divisor Sum 39,410,336
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #31036751 ← → #31036777

Radix Representation

Decimal 31036768
Binary 1110110011001010101100000 (25 bits)
Octal 0o166312540
Hexadecimal 0x1D99560

Divisor Catalog (48)

1 2 4 7 8 14 16 28 32 56 112 127 224 254 508 889 1,016 1,091 1,778 2,032 2,182 3,556 4,064 4,364 7,112 7,637 8,728 14,224 15,274 17,456 28,448 30,548 34,912 61,096 122,192 138,557 244,384 277,114 554,228 969,899 1,108,456 1,939,798 2,216,912 3,879,596 4,433,824 7,759,192 15,518,384 31,036,768

Collatz Trajectory (219 steps to reach 1)

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

31,036,768 15,518,384 7,759,192 3,879,596 1,939,798 969,899 2,909,698 1,454,849 4,364,548 2,182,274 1,091,137 3,273,412 1,636,706 818,353 2,455,060 1,227,530 613,765 1,841,296 920,648 460,324 230,162 115,081 345,244 172,622 86,311 258,934 129,467 388,402 194,201 582,604 291,302 145,651 436,954 218,477 655,432 327,716 163,858 81,929 245,788 122,894 61,447 184,342 92,171 276,514 138,257 414,772 207,386 103,693 311,080 155,540 77,770 38,885 116,656 58,328 29,164 14,582 7,291 21,874 10,937 32,812

Active Feeder Network

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

Feeder #6,573,969 Feeder #2,443,427 Feeder #6,845,105 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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