λ
Ratio Atlas
Atlas › Integer Profiles › Node 4,039,734
4,039,734
2 × 3 × 31 × 37 × 587
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3 × 31 × 37 × 587
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 8,580,096
Proper Divisor Sum 4,540,362
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #4039733 ← → #4039741

Radix Representation

Decimal 4039734
Binary 1111011010010000110110 (22 bits)
Octal 0o17322066
Hexadecimal 0x3DA436

Divisor Catalog (32)

1 2 3 6 31 37 62 74 93 111 186 222 587 1,147 1,174 1,761 2,294 3,441 3,522 6,882 18,197 21,719 36,394 43,438 54,591 65,157 109,182 130,314 673,289 1,346,578 2,019,867 4,039,734

Collatz Trajectory (136 steps to reach 1)

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

4,039,734 2,019,867 6,059,602 3,029,801 9,089,404 4,544,702 2,272,351 6,817,054 3,408,527 10,225,582 5,112,791 15,338,374 7,669,187 23,007,562 11,503,781 34,511,344 17,255,672 8,627,836 4,313,918 2,156,959 6,470,878 3,235,439 9,706,318 4,853,159 14,559,478 7,279,739 21,839,218 10,919,609 32,758,828 16,379,414 8,189,707 24,569,122 12,284,561 36,853,684 18,426,842 9,213,421 27,640,264 13,820,132 6,910,066 3,455,033 10,365,100 5,182,550 2,591,275 7,773,826 3,886,913 11,660,740 5,830,370 2,915,185 8,745,556 4,372,778 2,186,389 6,559,168 3,279,584 1,639,792 819,896 409,948 204,974 102,487 307,462 153,731

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
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