λ
Ratio Atlas
Atlas › Integer Profiles › Node 99,320,145
99,320,145
3 × 5 × 53 × 271 × 461
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 5 × 53 × 271 × 461
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 162,860,544
Proper Divisor Sum 63,540,399
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #99320131 ← → #99320149

Radix Representation

Decimal 99320145
Binary 101111010111000000101010001 (27 bits)
Octal 0o572700521
Hexadecimal 0x5EB8151

Divisor Catalog (32)

1 3 5 15 53 159 265 271 461 795 813 1,355 1,383 2,305 4,065 6,915 14,363 24,433 43,089 71,815 73,299 122,165 124,931 215,445 366,495 374,793 624,655 1,873,965 6,621,343 19,864,029 33,106,715 99,320,145

Collatz Trajectory (262 steps to reach 1)

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

99,320,145 297,960,436 148,980,218 74,490,109 223,470,328 111,735,164 55,867,582 27,933,791 83,801,374 41,900,687 125,702,062 62,851,031 188,553,094 94,276,547 282,829,642 141,414,821 424,244,464 212,122,232 106,061,116 53,030,558 26,515,279 79,545,838 39,772,919 119,318,758 59,659,379 178,978,138 89,489,069 268,467,208 134,233,604 67,116,802 33,558,401 100,675,204 50,337,602 25,168,801 75,506,404 37,753,202 18,876,601 56,629,804 28,314,902 14,157,451 42,472,354 21,236,177 63,708,532 31,854,266 15,927,133 47,781,400 23,890,700 11,945,350 5,972,675 17,918,026 8,959,013 26,877,040 13,438,520 6,719,260 3,359,630 1,679,815 5,039,446 2,519,723 7,559,170 3,779,585

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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