λ
Ratio Atlas
Atlas › Integer Profiles › Node 7,728,850
7,728,850
2 × 52 × 331 × 467
Deficient Even Composite

Prime Factor Structure

Factorization String 2 × 5^2 × 331 × 467
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 14,449,968
Proper Divisor Sum 6,721,118
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #7728841 ← → #7728857

Radix Representation

Decimal 7728850
Binary 11101011110111011010010 (23 bits)
Octal 0o35367322
Hexadecimal 0x75EED2

Divisor Catalog (24)

1 2 5 10 25 50 331 467 662 934 1,655 2,335 3,310 4,670 8,275 11,675 16,550 23,350 154,577 309,154 772,885 1,545,770 3,864,425 7,728,850

Collatz Trajectory (186 steps to reach 1)

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

7,728,850 3,864,425 11,593,276 5,796,638 2,898,319 8,694,958 4,347,479 13,042,438 6,521,219 19,563,658 9,781,829 29,345,488 14,672,744 7,336,372 3,668,186 1,834,093 5,502,280 2,751,140 1,375,570 687,785 2,063,356 1,031,678 515,839 1,547,518 773,759 2,321,278 1,160,639 3,481,918 1,740,959 5,222,878 2,611,439 7,834,318 3,917,159 11,751,478 5,875,739 17,627,218 8,813,609 26,440,828 13,220,414 6,610,207 19,830,622 9,915,311 29,745,934 14,872,967 44,618,902 22,309,451 66,928,354 33,464,177 100,392,532 50,196,266 25,098,133 75,294,400 37,647,200 18,823,600 9,411,800 4,705,900 2,352,950 1,176,475 3,529,426 1,764,713

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
← Previous Integer #7,728,849 Browse Full Index Next Integer #7,728,851 →