λ
Ratio Atlas
Atlas › Integer Profiles › Node 32,215,740
32,215,740
22 × 3 × 5 × 536929
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 536929
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 90,204,240
Proper Divisor Sum 57,988,500
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #32215681 ← → #32215741

Radix Representation

Decimal 32215740
Binary 1111010111001001010111100 (25 bits)
Octal 0o172711274
Hexadecimal 0x1EB92BC

Divisor Catalog (24)

1 2 3 4 5 6 10 12 15 20 30 60 536,929 1,073,858 1,610,787 2,147,716 2,684,645 3,221,574 5,369,290 6,443,148 8,053,935 10,738,580 16,107,870 32,215,740

Collatz Trajectory (219 steps to reach 1)

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

32,215,740 16,107,870 8,053,935 24,161,806 12,080,903 36,242,710 18,121,355 54,364,066 27,182,033 81,546,100 40,773,050 20,386,525 61,159,576 30,579,788 15,289,894 7,644,947 22,934,842 11,467,421 34,402,264 17,201,132 8,600,566 4,300,283 12,900,850 6,450,425 19,351,276 9,675,638 4,837,819 14,513,458 7,256,729 21,770,188 10,885,094 5,442,547 16,327,642 8,163,821 24,491,464 12,245,732 6,122,866 3,061,433 9,184,300 4,592,150 2,296,075 6,888,226 3,444,113 10,332,340 5,166,170 2,583,085 7,749,256 3,874,628 1,937,314 968,657 2,905,972 1,452,986 726,493 2,179,480 1,089,740 544,870 272,435 817,306 408,653 1,225,960

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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