λ
Ratio Atlas
Atlas › Integer Profiles › Node 36,960,248
36,960,248
23 × 13 × 467 × 761
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 13 × 467 × 761
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 74,889,360
Proper Divisor Sum 37,929,112
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #36960247 ← → #36960251

Radix Representation

Decimal 36960248
Binary 10001100111111011111111000 (26 bits)
Octal 0o214773770
Hexadecimal 0x233F7F8

Divisor Catalog (32)

1 2 4 8 13 26 52 104 467 761 934 1,522 1,868 3,044 3,736 6,071 6,088 9,893 12,142 19,786 24,284 39,572 48,568 79,144 355,387 710,774 1,421,548 2,843,096 4,620,031 9,240,062 18,480,124 36,960,248

Collatz Trajectory (271 steps to reach 1)

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

36,960,248 18,480,124 9,240,062 4,620,031 13,860,094 6,930,047 20,790,142 10,395,071 31,185,214 15,592,607 46,777,822 23,388,911 70,166,734 35,083,367 105,250,102 52,625,051 157,875,154 78,937,577 236,812,732 118,406,366 59,203,183 177,609,550 88,804,775 266,414,326 133,207,163 399,621,490 199,810,745 599,432,236 299,716,118 149,858,059 449,574,178 224,787,089 674,361,268 337,180,634 168,590,317 505,770,952 252,885,476 126,442,738 63,221,369 189,664,108 94,832,054 47,416,027 142,248,082 71,124,041 213,372,124 106,686,062 53,343,031 160,029,094 80,014,547 240,043,642 120,021,821 360,065,464 180,032,732 90,016,366 45,008,183 135,024,550 67,512,275 202,536,826 101,268,413 303,805,240

Active Feeder Network

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

Feeder #8,365,252 Feeder #1,448,561 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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