λ
Ratio Atlas
Atlas › Integer Profiles › Node 37,500,946
37,500,946
2 × 7 × 17 × 19 × 8293
Deficient Even Composite

Prime Factor Structure

Factorization String 2 × 7 × 17 × 19 × 8293
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 71,660,160
Proper Divisor Sum 34,159,214
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #37500923 ← → #37500959

Radix Representation

Decimal 37500946
Binary 10001111000011100000010010 (26 bits)
Octal 0o217034022
Hexadecimal 0x23C3812

Divisor Catalog (32)

1 2 7 14 17 19 34 38 119 133 238 266 323 646 2,261 4,522 8,293 16,586 58,051 116,102 140,981 157,567 281,962 315,134 986,867 1,102,969 1,973,734 2,205,938 2,678,639 5,357,278 18,750,473 37,500,946

Collatz Trajectory (209 steps to reach 1)

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

37,500,946 18,750,473 56,251,420 28,125,710 14,062,855 42,188,566 21,094,283 63,282,850 31,641,425 94,924,276 47,462,138 23,731,069 71,193,208 35,596,604 17,798,302 8,899,151 26,697,454 13,348,727 40,046,182 20,023,091 60,069,274 30,034,637 90,103,912 45,051,956 22,525,978 11,262,989 33,788,968 16,894,484 8,447,242 4,223,621 12,670,864 6,335,432 3,167,716 1,583,858 791,929 2,375,788 1,187,894 593,947 1,781,842 890,921 2,672,764 1,336,382 668,191 2,004,574 1,002,287 3,006,862 1,503,431 4,510,294 2,255,147 6,765,442 3,382,721 10,148,164 5,074,082 2,537,041 7,611,124 3,805,562 1,902,781 5,708,344 2,854,172 1,427,086

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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