λ
Ratio Atlas
Atlas › Integer Profiles › Node 36,967,730
36,967,730
2 × 5 × 19 × 103 × 1889
Deficient Even Composite

Prime Factor Structure

Factorization String 2 × 5 × 19 × 103 × 1889
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 70,761,600
Proper Divisor Sum 33,793,870
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #36967729 ← → #36967753

Radix Representation

Decimal 36967730
Binary 10001101000001010100110010 (26 bits)
Octal 0o215012462
Hexadecimal 0x2341532

Divisor Catalog (32)

1 2 5 10 19 38 95 103 190 206 515 1,030 1,889 1,957 3,778 3,914 9,445 9,785 18,890 19,570 35,891 71,782 179,455 194,567 358,910 389,134 972,835 1,945,670 3,696,773 7,393,546 18,483,865 36,967,730

Collatz Trajectory (227 steps to reach 1)

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

36,967,730 18,483,865 55,451,596 27,725,798 13,862,899 41,588,698 20,794,349 62,383,048 31,191,524 15,595,762 7,797,881 23,393,644 11,696,822 5,848,411 17,545,234 8,772,617 26,317,852 13,158,926 6,579,463 19,738,390 9,869,195 29,607,586 14,803,793 44,411,380 22,205,690 11,102,845 33,308,536 16,654,268 8,327,134 4,163,567 12,490,702 6,245,351 18,736,054 9,368,027 28,104,082 14,052,041 42,156,124 21,078,062 10,539,031 31,617,094 15,808,547 47,425,642 23,712,821 71,138,464 35,569,232 17,784,616 8,892,308 4,446,154 2,223,077 6,669,232 3,334,616 1,667,308 833,654 416,827 1,250,482 625,241 1,875,724 937,862 468,931 1,406,794

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 #1,448,561 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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