λ
Ratio Atlas
Atlas › Integer Profiles › Node 31,123,720
31,123,720
23 × 5 × 532 × 277
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 5 × 53^2 × 277
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 71,632,260
Proper Divisor Sum 40,508,540
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #31123681 ← → #31123723

Radix Representation

Decimal 31123720
Binary 1110110101110100100001000 (25 bits)
Octal 0o166564410
Hexadecimal 0x1DAE908

Divisor Catalog (48)

1 2 4 5 8 10 20 40 53 106 212 265 277 424 530 554 1,060 1,108 1,385 2,120 2,216 2,770 2,809 5,540 5,618 11,080 11,236 14,045 14,681 22,472 28,090 29,362 56,180 58,724 73,405 112,360 117,448 146,810 293,620 587,240 778,093 1,556,186 3,112,372 3,890,465 6,224,744 7,780,930 15,561,860 31,123,720

Collatz Trajectory (188 steps to reach 1)

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

31,123,720 15,561,860 7,780,930 3,890,465 11,671,396 5,835,698 2,917,849 8,753,548 4,376,774 2,188,387 6,565,162 3,282,581 9,847,744 4,923,872 2,461,936 1,230,968 615,484 307,742 153,871 461,614 230,807 692,422 346,211 1,038,634 519,317 1,557,952 778,976 389,488 194,744 97,372 48,686 24,343 73,030 36,515 109,546 54,773 164,320 82,160 41,080 20,540 10,270 5,135 15,406 7,703 23,110 11,555 34,666 17,333 52,000 26,000 13,000 6,500 3,250 1,625 4,876 2,438 1,219 3,658 1,829 5,488

Active Feeder Network

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

Feeder #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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