λ
Ratio Atlas
Atlas › Integer Profiles › Node 36,748,632
36,748,632
23 × 3 × 557 × 2749
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 3 × 557 × 2749
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 92,070,000
Proper Divisor Sum 55,321,368
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #36748631 ← → #36748637

Radix Representation

Decimal 36748632
Binary 10001100001011110101011000 (26 bits)
Octal 0o214136530
Hexadecimal 0x230BD58

Divisor Catalog (32)

1 2 3 4 6 8 12 24 557 1,114 1,671 2,228 2,749 3,342 4,456 5,498 6,684 8,247 10,996 13,368 16,494 21,992 32,988 65,976 1,531,193 3,062,386 4,593,579 6,124,772 9,187,158 12,249,544 18,374,316 36,748,632

Collatz Trajectory (196 steps to reach 1)

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

36,748,632 18,374,316 9,187,158 4,593,579 13,780,738 6,890,369 20,671,108 10,335,554 5,167,777 15,503,332 7,751,666 3,875,833 11,627,500 5,813,750 2,906,875 8,720,626 4,360,313 13,080,940 6,540,470 3,270,235 9,810,706 4,905,353 14,716,060 7,358,030 3,679,015 11,037,046 5,518,523 16,555,570 8,277,785 24,833,356 12,416,678 6,208,339 18,625,018 9,312,509 27,937,528 13,968,764 6,984,382 3,492,191 10,476,574 5,238,287 15,714,862 7,857,431 23,572,294 11,786,147 35,358,442 17,679,221 53,037,664 26,518,832 13,259,416 6,629,708 3,314,854 1,657,427 4,972,282 2,486,141 7,458,424 3,729,212 1,864,606 932,303 2,796,910 1,398,455

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 #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
← Previous Integer #36,748,631 Browse Full Index Next Integer #36,748,633 →