λ
Ratio Atlas
Atlas › Integer Profiles › Node 31,055,070
31,055,070
2 × 3 × 5 × 293 × 3533
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3 × 5 × 293 × 3533
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 74,807,712
Proper Divisor Sum 43,752,642
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #31055069 ← → #31055077

Radix Representation

Decimal 31055070
Binary 1110110011101110011011110 (25 bits)
Octal 0o166356336
Hexadecimal 0x1D9DCDE

Divisor Catalog (32)

1 2 3 5 6 10 15 30 293 586 879 1,465 1,758 2,930 3,533 4,395 7,066 8,790 10,599 17,665 21,198 35,330 52,995 105,990 1,035,169 2,070,338 3,105,507 5,175,845 6,211,014 10,351,690 15,527,535 31,055,070

Collatz Trajectory (294 steps to reach 1)

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

31,055,070 15,527,535 46,582,606 23,291,303 69,873,910 34,936,955 104,810,866 52,405,433 157,216,300 78,608,150 39,304,075 117,912,226 58,956,113 176,868,340 88,434,170 44,217,085 132,651,256 66,325,628 33,162,814 16,581,407 49,744,222 24,872,111 74,616,334 37,308,167 111,924,502 55,962,251 167,886,754 83,943,377 251,830,132 125,915,066 62,957,533 188,872,600 94,436,300 47,218,150 23,609,075 70,827,226 35,413,613 106,240,840 53,120,420 26,560,210 13,280,105 39,840,316 19,920,158 9,960,079 29,880,238 14,940,119 44,820,358 22,410,179 67,230,538 33,615,269 100,845,808 50,422,904 25,211,452 12,605,726 6,302,863 18,908,590 9,454,295 28,362,886 14,181,443 42,544,330

Active Feeder Network

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

Feeder #6,573,969 Feeder #6,845,105 Feeder #8,750,980 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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