λ
Ratio Atlas
Atlas › Integer Profiles › Node 82,829,300
82,829,300
22 × 52 × 229 × 3617
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 5^2 × 229 × 3617
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 180,574,380
Proper Divisor Sum 97,745,080
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #82829297 ← → #82829317

Radix Representation

Decimal 82829300
Binary 100111011111101111111110100 (27 bits)
Octal 0o473757764
Hexadecimal 0x4EFDFF4

Divisor Catalog (36)

1 2 4 5 10 20 25 50 100 229 458 916 1,145 2,290 3,617 4,580 5,725 7,234 11,450 14,468 18,085 22,900 36,170 72,340 90,425 180,850 361,700 828,293 1,656,586 3,313,172 4,141,465 8,282,930 16,565,860 20,707,325 41,414,650 82,829,300

Collatz Trajectory (161 steps to reach 1)

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

82,829,300 41,414,650 20,707,325 62,121,976 31,060,988 15,530,494 7,765,247 23,295,742 11,647,871 34,943,614 17,471,807 52,415,422 26,207,711 78,623,134 39,311,567 117,934,702 58,967,351 176,902,054 88,451,027 265,353,082 132,676,541 398,029,624 199,014,812 99,507,406 49,753,703 149,261,110 74,630,555 223,891,666 111,945,833 335,837,500 167,918,750 83,959,375 251,878,126 125,939,063 377,817,190 188,908,595 566,725,786 283,362,893 850,088,680 425,044,340 212,522,170 106,261,085 318,783,256 159,391,628 79,695,814 39,847,907 119,543,722 59,771,861 179,315,584 89,657,792 44,828,896 22,414,448 11,207,224 5,603,612 2,801,806 1,400,903 4,202,710 2,101,355 6,304,066 3,152,033

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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