λ
Ratio Atlas
Atlas › Integer Profiles › Node 26,827,240
26,827,240
23 × 5 × 11 × 19 × 3209
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 5 × 11 × 19 × 3209
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 69,336,000
Proper Divisor Sum 42,508,760
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #26827237 ← → #26827253

Radix Representation

Decimal 26827240
Binary 1100110010101100111101000 (25 bits)
Octal 0o146254750
Hexadecimal 0x19959E8

Divisor Catalog (60 of 64)

1 2 4 5 8 10 11 19 20 22 38 40 44 55 76 88 95 110 152 190 209 220 380 418 440 760 836 1,045 1,672 2,090 3,209 4,180 6,418 8,360 12,836 16,045 25,672 32,090 35,299 60,971 64,180 70,598 121,942 128,360 141,196 176,495 243,884 282,392 304,855 352,990 487,768 609,710 670,681 705,980 1,219,420 1,341,362 1,411,960 2,438,840 2,682,724 3,353,405

Collatz Trajectory (211 steps to reach 1)

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

26,827,240 13,413,620 6,706,810 3,353,405 10,060,216 5,030,108 2,515,054 1,257,527 3,772,582 1,886,291 5,658,874 2,829,437 8,488,312 4,244,156 2,122,078 1,061,039 3,183,118 1,591,559 4,774,678 2,387,339 7,162,018 3,581,009 10,743,028 5,371,514 2,685,757 8,057,272 4,028,636 2,014,318 1,007,159 3,021,478 1,510,739 4,532,218 2,266,109 6,798,328 3,399,164 1,699,582 849,791 2,549,374 1,274,687 3,824,062 1,912,031 5,736,094 2,868,047 8,604,142 4,302,071 12,906,214 6,453,107 19,359,322 9,679,661 29,038,984 14,519,492 7,259,746 3,629,873 10,889,620 5,444,810 2,722,405 8,167,216 4,083,608 2,041,804 1,020,902

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
← Previous Integer #26,827,239 Browse Full Index Next Integer #26,827,241 →