λ
Ratio Atlas
Atlas › Integer Profiles › Node 51,180,828
51,180,828
22 × 3 × 53 × 80473
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3 × 53 × 80473
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 121,676,688
Proper Divisor Sum 70,495,860
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #51180823 ← → #51180869

Radix Representation

Decimal 51180828
Binary 11000011001111010100011100 (26 bits)
Octal 0o303172434
Hexadecimal 0x30CF51C

Divisor Catalog (24)

1 2 3 4 6 12 53 106 159 212 318 636 80,473 160,946 241,419 321,892 482,838 965,676 4,265,069 8,530,138 12,795,207 17,060,276 25,590,414 51,180,828

Collatz Trajectory (181 steps to reach 1)

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

51,180,828 25,590,414 12,795,207 38,385,622 19,192,811 57,578,434 28,789,217 86,367,652 43,183,826 21,591,913 64,775,740 32,387,870 16,193,935 48,581,806 24,290,903 72,872,710 36,436,355 109,309,066 54,654,533 163,963,600 81,981,800 40,990,900 20,495,450 10,247,725 30,743,176 15,371,588 7,685,794 3,842,897 11,528,692 5,764,346 2,882,173 8,646,520 4,323,260 2,161,630 1,080,815 3,242,446 1,621,223 4,863,670 2,431,835 7,295,506 3,647,753 10,943,260 5,471,630 2,735,815 8,207,446 4,103,723 12,311,170 6,155,585 18,466,756 9,233,378 4,616,689 13,850,068 6,925,034 3,462,517 10,387,552 5,193,776 2,596,888 1,298,444 649,222 324,611

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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