λ
Ratio Atlas
Atlas › Integer Profiles › Node 82,425,270
82,425,270
2 × 3 × 5 × 37 × 74257
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3 × 5 × 37 × 74257
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 203,169,888
Proper Divisor Sum 120,744,618
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #82425269 ← → #82425271

Radix Representation

Decimal 82425270
Binary 100111010011011010110110110 (27 bits)
Octal 0o472332666
Hexadecimal 0x4E9B5B6

Divisor Catalog (32)

1 2 3 5 6 10 15 30 37 74 111 185 222 370 555 1,110 74,257 148,514 222,771 371,285 445,542 742,570 1,113,855 2,227,710 2,747,509 5,495,018 8,242,527 13,737,545 16,485,054 27,475,090 41,212,635 82,425,270

Collatz Trajectory (236 steps to reach 1)

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

82,425,270 41,212,635 123,637,906 61,818,953 185,456,860 92,728,430 46,364,215 139,092,646 69,546,323 208,638,970 104,319,485 312,958,456 156,479,228 78,239,614 39,119,807 117,359,422 58,679,711 176,039,134 88,019,567 264,058,702 132,029,351 396,088,054 198,044,027 594,132,082 297,066,041 891,198,124 445,599,062 222,799,531 668,398,594 334,199,297 1,002,597,892 501,298,946 250,649,473 751,948,420 375,974,210 187,987,105 563,961,316 281,980,658 140,990,329 422,970,988 211,485,494 105,742,747 317,228,242 158,614,121 475,842,364 237,921,182 118,960,591 356,881,774 178,440,887 535,322,662 267,661,331 802,983,994 401,491,997 1,204,475,992 602,237,996 301,118,998 150,559,499 451,678,498 225,839,249 677,517,748

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 #6,573,969 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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