λ
Ratio Atlas
Atlas › Integer Profiles › Node 1,001,920
1,001,920
26 × 5 × 31 × 101
Abundant Even Composite

Prime Factor Structure

Factorization String 2^6 × 5 × 31 × 101
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 2,487,168
Proper Divisor Sum 1,485,248
Digit Sum / Digital Root 13 (Root: 4)
Adjacent Primes #1001911 ← → #1001933

Radix Representation

Decimal 1001920
Binary 11110100100111000000 (20 bits)
Octal 0o3644700
Hexadecimal 0xF49C0

Divisor Catalog (56)

1 2 4 5 8 10 16 20 31 32 40 62 64 80 101 124 155 160 202 248 310 320 404 496 505 620 808 992 1,010 1,240 1,616 1,984 2,020 2,480 3,131 3,232 4,040 4,960 6,262 6,464 8,080 9,920 12,524 15,655 16,160 25,048 31,310 32,320 50,096 62,620 100,192 125,240 200,384 250,480 500,960 1,001,920

Collatz Trajectory (59 steps to reach 1)

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

1,001,920 500,960 250,480 125,240 62,620 31,310 15,655 46,966 23,483 70,450 35,225 105,676 52,838 26,419 79,258 39,629 118,888 59,444 29,722 14,861 44,584 22,292 11,146 5,573 16,720 8,360 4,180 2,090 1,045 3,136 1,568 784 392 196 98 49 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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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