λ
Ratio Atlas
Atlas › Integer Profiles › Node 83,037,801
83,037,801
3 × 72 × 11 × 89 × 577
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 7^2 × 11 × 89 × 577
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 142,326,720
Proper Divisor Sum 59,288,919
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #83037781 ← → #83037821

Radix Representation

Decimal 83037801
Binary 100111100110000111001101001 (27 bits)
Octal 0o474607151
Hexadecimal 0x4F30E69

Divisor Catalog (48)

1 3 7 11 21 33 49 77 89 147 231 267 539 577 623 979 1,617 1,731 1,869 2,937 4,039 4,361 6,347 6,853 12,117 13,083 19,041 20,559 28,273 44,429 47,971 51,353 84,819 133,287 143,913 154,059 311,003 359,471 564,883 933,009 1,078,413 1,694,649 2,516,297 3,954,181 7,548,891 11,862,543 27,679,267 83,037,801

Collatz Trajectory (254 steps to reach 1)

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

83,037,801 249,113,404 124,556,702 62,278,351 186,835,054 93,417,527 280,252,582 140,126,291 420,378,874 210,189,437 630,568,312 315,284,156 157,642,078 78,821,039 236,463,118 118,231,559 354,694,678 177,347,339 532,042,018 266,021,009 798,063,028 399,031,514 199,515,757 598,547,272 299,273,636 149,636,818 74,818,409 224,455,228 112,227,614 56,113,807 168,341,422 84,170,711 252,512,134 126,256,067 378,768,202 189,384,101 568,152,304 284,076,152 142,038,076 71,019,038 35,509,519 106,528,558 53,264,279 159,792,838 79,896,419 239,689,258 119,844,629 359,533,888 179,766,944 89,883,472 44,941,736 22,470,868 11,235,434 5,617,717 16,853,152 8,426,576 4,213,288 2,106,644 1,053,322 526,661

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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