λ
Ratio Atlas
Atlas › Integer Profiles › Node 16,574,792
16,574,792
23 × 13 × 197 × 809
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 13 × 197 × 809
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 33,679,800
Proper Divisor Sum 17,105,008
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #16574771 ← → #16574797

Radix Representation

Decimal 16574792
Binary 111111001110100101001000 (24 bits)
Octal 0o77164510
Hexadecimal 0xFCE948

Divisor Catalog (32)

1 2 4 8 13 26 52 104 197 394 788 809 1,576 1,618 2,561 3,236 5,122 6,472 10,244 10,517 20,488 21,034 42,068 84,136 159,373 318,746 637,492 1,274,984 2,071,849 4,143,698 8,287,396 16,574,792

Collatz Trajectory (213 steps to reach 1)

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

16,574,792 8,287,396 4,143,698 2,071,849 6,215,548 3,107,774 1,553,887 4,661,662 2,330,831 6,992,494 3,496,247 10,488,742 5,244,371 15,733,114 7,866,557 23,599,672 11,799,836 5,899,918 2,949,959 8,849,878 4,424,939 13,274,818 6,637,409 19,912,228 9,956,114 4,978,057 14,934,172 7,467,086 3,733,543 11,200,630 5,600,315 16,800,946 8,400,473 25,201,420 12,600,710 6,300,355 18,901,066 9,450,533 28,351,600 14,175,800 7,087,900 3,543,950 1,771,975 5,315,926 2,657,963 7,973,890 3,986,945 11,960,836 5,980,418 2,990,209 8,970,628 4,485,314 2,242,657 6,727,972 3,363,986 1,681,993 5,045,980 2,522,990 1,261,495 3,784,486

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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