λ
Ratio Atlas
Atlas › Integer Profiles › Node 31,830,786
31,830,786
2 × 33 × 13 × 45343
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^3 × 13 × 45343
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 76,177,920
Proper Divisor Sum 44,347,134
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #31830779 ← → #31830809

Radix Representation

Decimal 31830786
Binary 1111001011011001100000010 (25 bits)
Octal 0o171331402
Hexadecimal 0x1E5B302

Divisor Catalog (32)

1 2 3 6 9 13 18 26 27 39 54 78 117 234 351 702 45,343 90,686 136,029 272,058 408,087 589,459 816,174 1,178,918 1,224,261 1,768,377 2,448,522 3,536,754 5,305,131 10,610,262 15,915,393 31,830,786

Collatz Trajectory (219 steps to reach 1)

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

31,830,786 15,915,393 47,746,180 23,873,090 11,936,545 35,809,636 17,904,818 8,952,409 26,857,228 13,428,614 6,714,307 20,142,922 10,071,461 30,214,384 15,107,192 7,553,596 3,776,798 1,888,399 5,665,198 2,832,599 8,497,798 4,248,899 12,746,698 6,373,349 19,120,048 9,560,024 4,780,012 2,390,006 1,195,003 3,585,010 1,792,505 5,377,516 2,688,758 1,344,379 4,033,138 2,016,569 6,049,708 3,024,854 1,512,427 4,537,282 2,268,641 6,805,924 3,402,962 1,701,481 5,104,444 2,552,222 1,276,111 3,828,334 1,914,167 5,742,502 2,871,251 8,613,754 4,306,877 12,920,632 6,460,316 3,230,158 1,615,079 4,845,238 2,422,619 7,267,858

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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