λ
Ratio Atlas
Atlas › Integer Profiles › Node 27,458,998
27,458,998
2 × 7 × 29 × 47 × 1439
Deficient Even Composite

Prime Factor Structure

Factorization String 2 × 7 × 29 × 47 × 1439
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 49,766,400
Proper Divisor Sum 22,307,402
Digit Sum / Digital Root 52 (Root: 7)
Adjacent Primes #27458989 ← → #27458999

Radix Representation

Decimal 27458998
Binary 1101000101111110110110110 (25 bits)
Octal 0o150576666
Hexadecimal 0x1A2FDB6

Divisor Catalog (32)

1 2 7 14 29 47 58 94 203 329 406 658 1,363 1,439 2,726 2,878 9,541 10,073 19,082 20,146 41,731 67,633 83,462 135,266 292,117 473,431 584,234 946,862 1,961,357 3,922,714 13,729,499 27,458,998

Collatz Trajectory (255 steps to reach 1)

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

27,458,998 13,729,499 41,188,498 20,594,249 61,782,748 30,891,374 15,445,687 46,337,062 23,168,531 69,505,594 34,752,797 104,258,392 52,129,196 26,064,598 13,032,299 39,096,898 19,548,449 58,645,348 29,322,674 14,661,337 43,984,012 21,992,006 10,996,003 32,988,010 16,494,005 49,482,016 24,741,008 12,370,504 6,185,252 3,092,626 1,546,313 4,638,940 2,319,470 1,159,735 3,479,206 1,739,603 5,218,810 2,609,405 7,828,216 3,914,108 1,957,054 978,527 2,935,582 1,467,791 4,403,374 2,201,687 6,605,062 3,302,531 9,907,594 4,953,797 14,861,392 7,430,696 3,715,348 1,857,674 928,837 2,786,512 1,393,256 696,628 348,314 174,157

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 #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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