λ
Ratio Atlas
Atlas › Integer Profiles › Node 8,975,680
8,975,680
26 × 5 × 7 × 4007
Abundant Even Composite

Prime Factor Structure

Factorization String 2^6 × 5 × 7 × 4007
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 24,432,768
Proper Divisor Sum 15,457,088
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #8975669 ← → #8975689

Radix Representation

Decimal 8975680
Binary 100010001111010101000000 (24 bits)
Octal 0o42172500
Hexadecimal 0x88F540

Divisor Catalog (56)

1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 224 280 320 448 560 1,120 2,240 4,007 8,014 16,028 20,035 28,049 32,056 40,070 56,098 64,112 80,140 112,196 128,224 140,245 160,280 224,392 256,448 280,490 320,560 448,784 560,980 641,120 897,568 1,121,960 1,282,240 1,795,136 2,243,920 4,487,840 8,975,680

Collatz Trajectory (88 steps to reach 1)

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

8,975,680 4,487,840 2,243,920 1,121,960 560,980 280,490 140,245 420,736 210,368 105,184 52,592 26,296 13,148 6,574 3,287 9,862 4,931 14,794 7,397 22,192 11,096 5,548 2,774 1,387 4,162 2,081 6,244 3,122 1,561 4,684 2,342 1,171 3,514 1,757 5,272 2,636 1,318 659 1,978 989 2,968 1,484 742 371 1,114 557 1,672 836 418 209 628 314 157 472 236 118 59 178 89 268

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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