λ
Ratio Atlas
Atlas › Integer Profiles › Node 77,556,525
77,556,525
3 × 52 × 349 × 2963
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 5^2 × 349 × 2963
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 128,637,600
Proper Divisor Sum 51,081,075
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #77556517 ← → #77556547

Radix Representation

Decimal 77556525
Binary 100100111110110101100101101 (27 bits)
Octal 0o447665455
Hexadecimal 0x49F6B2D

Divisor Catalog (24)

1 3 5 15 25 75 349 1,047 1,745 2,963 5,235 8,725 8,889 14,815 26,175 44,445 74,075 222,225 1,034,087 3,102,261 5,170,435 15,511,305 25,852,175 77,556,525

Collatz Trajectory (228 steps to reach 1)

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

77,556,525 232,669,576 116,334,788 58,167,394 29,083,697 87,251,092 43,625,546 21,812,773 65,438,320 32,719,160 16,359,580 8,179,790 4,089,895 12,269,686 6,134,843 18,404,530 9,202,265 27,606,796 13,803,398 6,901,699 20,705,098 10,352,549 31,057,648 15,528,824 7,764,412 3,882,206 1,941,103 5,823,310 2,911,655 8,734,966 4,367,483 13,102,450 6,551,225 19,653,676 9,826,838 4,913,419 14,740,258 7,370,129 22,110,388 11,055,194 5,527,597 16,582,792 8,291,396 4,145,698 2,072,849 6,218,548 3,109,274 1,554,637 4,663,912 2,331,956 1,165,978 582,989 1,748,968 874,484 437,242 218,621 655,864 327,932 163,966 81,983

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 #77,556,524 Browse Full Index Next Integer #77,556,526 →