λ
Ratio Atlas
Atlas › Integer Profiles › Node 357,280
357,280
25 × 5 × 7 × 11 × 29
Abundant Even Composite

Prime Factor Structure

Factorization String 2^5 × 5 × 7 × 11 × 29
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 96
Divisor Sum (σ) 1,088,640
Proper Divisor Sum 731,360
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #357271 ← → #357281

Radix Representation

Decimal 357280
Binary 1010111001110100000 (19 bits)
Octal 0o1271640
Hexadecimal 0x573A0

Divisor Catalog (60 of 96)

1 2 4 5 7 8 10 11 14 16 20 22 28 29 32 35 40 44 55 56 58 70 77 80 88 110 112 116 140 145 154 160 176 203 220 224 232 280 290 308 319 352 385 406 440 464 560 580 616 638 770 812 880 928 1,015 1,120 1,160 1,232 1,276 1,540

Collatz Trajectory (73 steps to reach 1)

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

357,280 178,640 89,320 44,660 22,330 11,165 33,496 16,748 8,374 4,187 12,562 6,281 18,844 9,422 4,711 14,134 7,067 21,202 10,601 31,804 15,902 7,951 23,854 11,927 35,782 17,891 53,674 26,837 80,512 40,256 20,128 10,064 5,032 2,516 1,258 629 1,888 944 472 236 118 59 178 89 268 134 67 202 101 304 152 76 38 19 58 29 88 44 22 11

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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