λ
Ratio Atlas
Atlas › Integer Profiles › Node 36,918,520
36,918,520
23 × 5 × 19 × 31 × 1567
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 5 × 19 × 31 × 1567
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 90,316,800
Proper Divisor Sum 53,398,280
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #36918461 ← → #36918521

Radix Representation

Decimal 36918520
Binary 10001100110101010011111000 (26 bits)
Octal 0o214652370
Hexadecimal 0x23354F8

Divisor Catalog (60 of 64)

1 2 4 5 8 10 19 20 31 38 40 62 76 95 124 152 155 190 248 310 380 589 620 760 1,178 1,240 1,567 2,356 2,945 3,134 4,712 5,890 6,268 7,835 11,780 12,536 15,670 23,560 29,773 31,340 48,577 59,546 62,680 97,154 119,092 148,865 194,308 238,184 242,885 297,730 388,616 485,770 595,460 922,963 971,540 1,190,920 1,845,926 1,943,080 3,691,852 4,614,815

Collatz Trajectory (196 steps to reach 1)

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

36,918,520 18,459,260 9,229,630 4,614,815 13,844,446 6,922,223 20,766,670 10,383,335 31,150,006 15,575,003 46,725,010 23,362,505 70,087,516 35,043,758 17,521,879 52,565,638 26,282,819 78,848,458 39,424,229 118,272,688 59,136,344 29,568,172 14,784,086 7,392,043 22,176,130 11,088,065 33,264,196 16,632,098 8,316,049 24,948,148 12,474,074 6,237,037 18,711,112 9,355,556 4,677,778 2,338,889 7,016,668 3,508,334 1,754,167 5,262,502 2,631,251 7,893,754 3,946,877 11,840,632 5,920,316 2,960,158 1,480,079 4,440,238 2,220,119 6,660,358 3,330,179 9,990,538 4,995,269 14,985,808 7,492,904 3,746,452 1,873,226 936,613 2,809,840 1,404,920

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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