λ
Ratio Atlas
Atlas › Integer Profiles › Node 312,480
312,480
25 × 32 × 5 × 7 × 31
Abundant Even Composite

Prime Factor Structure

Factorization String 2^5 × 3^2 × 5 × 7 × 31
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 144
Divisor Sum (σ) 1,257,984
Proper Divisor Sum 945,504
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #312469 ← → #312509

Radix Representation

Decimal 312480
Binary 1001100010010100000 (19 bits)
Octal 0o1142240
Hexadecimal 0x4C4A0

Divisor Catalog (60 of 144)

1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 31 32 35 36 40 42 45 48 56 60 62 63 70 72 80 84 90 93 96 105 112 120 124 126 140 144 155 160 168 180 186 210 217 224 240 248 252 279 280 288

Collatz Trajectory (78 steps to reach 1)

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

312,480 156,240 78,120 39,060 19,530 9,765 29,296 14,648 7,324 3,662 1,831 5,494 2,747 8,242 4,121 12,364 6,182 3,091 9,274 4,637 13,912 6,956 3,478 1,739 5,218 2,609 7,828 3,914 1,957 5,872 2,936 1,468 734 367 1,102 551 1,654 827 2,482 1,241 3,724 1,862 931 2,794 1,397 4,192 2,096 1,048 524 262 131 394 197 592 296 148 74 37 112 56

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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