λ
Ratio Atlas
Atlas › Integer Profiles › Node 31,323,948
31,323,948
22 × 3 × 103 × 25343
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3 × 103 × 25343
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 73,801,728
Proper Divisor Sum 42,477,780
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #31323923 ← → #31323961

Radix Representation

Decimal 31323948
Binary 1110111011111011100101100 (25 bits)
Octal 0o167373454
Hexadecimal 0x1DDF72C

Divisor Catalog (24)

1 2 3 4 6 12 103 206 309 412 618 1,236 25,343 50,686 76,029 101,372 152,058 304,116 2,610,329 5,220,658 7,830,987 10,441,316 15,661,974 31,323,948

Collatz Trajectory (201 steps to reach 1)

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

31,323,948 15,661,974 7,830,987 23,492,962 11,746,481 35,239,444 17,619,722 8,809,861 26,429,584 13,214,792 6,607,396 3,303,698 1,651,849 4,955,548 2,477,774 1,238,887 3,716,662 1,858,331 5,574,994 2,787,497 8,362,492 4,181,246 2,090,623 6,271,870 3,135,935 9,407,806 4,703,903 14,111,710 7,055,855 21,167,566 10,583,783 31,751,350 15,875,675 47,627,026 23,813,513 71,440,540 35,720,270 17,860,135 53,580,406 26,790,203 80,370,610 40,185,305 120,555,916 60,277,958 30,138,979 90,416,938 45,208,469 135,625,408 67,812,704 33,906,352 16,953,176 8,476,588 4,238,294 2,119,147 6,357,442 3,178,721 9,536,164 4,768,082 2,384,041 7,152,124

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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