λ
Ratio Atlas
Atlas › Integer Profiles › Node 82,069,752
82,069,752
23 × 3 × 71 × 48163
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 3 × 71 × 48163
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 208,068,480
Proper Divisor Sum 125,998,728
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #82069751 ← → #82069777

Radix Representation

Decimal 82069752
Binary 100111001000100100011111000 (27 bits)
Octal 0o471044370
Hexadecimal 0x4E448F8

Divisor Catalog (32)

1 2 3 4 6 8 12 24 71 142 213 284 426 568 852 1,704 48,163 96,326 144,489 192,652 288,978 385,304 577,956 1,155,912 3,419,573 6,839,146 10,258,719 13,678,292 20,517,438 27,356,584 41,034,876 82,069,752

Collatz Trajectory (192 steps to reach 1)

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

82,069,752 41,034,876 20,517,438 10,258,719 30,776,158 15,388,079 46,164,238 23,082,119 69,246,358 34,623,179 103,869,538 51,934,769 155,804,308 77,902,154 38,951,077 116,853,232 58,426,616 29,213,308 14,606,654 7,303,327 21,909,982 10,954,991 32,864,974 16,432,487 49,297,462 24,648,731 73,946,194 36,973,097 110,919,292 55,459,646 27,729,823 83,189,470 41,594,735 124,784,206 62,392,103 187,176,310 93,588,155 280,764,466 140,382,233 421,146,700 210,573,350 105,286,675 315,860,026 157,930,013 473,790,040 236,895,020 118,447,510 59,223,755 177,671,266 88,835,633 266,506,900 133,253,450 66,626,725 199,880,176 99,940,088 49,970,044 24,985,022 12,492,511 37,477,534 18,738,767

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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