λ
Ratio Atlas
Atlas › Integer Profiles › Node 36,945,144
36,945,144
23 × 32 × 131 × 3917
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 3^2 × 131 × 3917
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 100,849,320
Proper Divisor Sum 63,904,176
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #36945143 ← → #36945157

Radix Representation

Decimal 36945144
Binary 10001100111011110011111000 (26 bits)
Octal 0o214736370
Hexadecimal 0x233BCF8

Divisor Catalog (48)

1 2 3 4 6 8 9 12 18 24 36 72 131 262 393 524 786 1,048 1,179 1,572 2,358 3,144 3,917 4,716 7,834 9,432 11,751 15,668 23,502 31,336 35,253 47,004 70,506 94,008 141,012 282,024 513,127 1,026,254 1,539,381 2,052,508 3,078,762 4,105,016 4,618,143 6,157,524 9,236,286 12,315,048 18,472,572 36,945,144

Collatz Trajectory (364 steps to reach 1)

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

36,945,144 18,472,572 9,236,286 4,618,143 13,854,430 6,927,215 20,781,646 10,390,823 31,172,470 15,586,235 46,758,706 23,379,353 70,138,060 35,069,030 17,534,515 52,603,546 26,301,773 78,905,320 39,452,660 19,726,330 9,863,165 29,589,496 14,794,748 7,397,374 3,698,687 11,096,062 5,548,031 16,644,094 8,322,047 24,966,142 12,483,071 37,449,214 18,724,607 56,173,822 28,086,911 84,260,734 42,130,367 126,391,102 63,195,551 189,586,654 94,793,327 284,379,982 142,189,991 426,569,974 213,284,987 639,854,962 319,927,481 959,782,444 479,891,222 239,945,611 719,836,834 359,918,417 1,079,755,252 539,877,626 269,938,813 809,816,440 404,908,220 202,454,110 101,227,055 303,681,166

Active Feeder Network

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

Feeder #6,573,969 Feeder #2,443,427 Feeder #6,845,105 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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