λ
Ratio Atlas
Atlas › Integer Profiles › Node 50,007,609

50,007,609

32 × 37 × 263 × 571
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^2 × 37 × 263 × 571
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 74,597,952
Proper Divisor Sum 24,590,343
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #50007599 ← → #50007611

Radix Representation

Decimal 50007609
Binary 10111110110000111000111001 (26 bits)
Octal 0o276607071
Hexadecimal 0x2FB0E39

Divisor Catalog (24)

1 3 9 37 111 263 333 571 789 1,713 2,367 5,139 9,731 21,127 29,193 63,381 87,579 150,173 190,143 450,519 1,351,557 5,556,401 16,669,203 50,007,609

Collatz Trajectory (186 steps to reach 1)

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

50,007,609 150,022,828 75,011,414 37,505,707 112,517,122 56,258,561 168,775,684 84,387,842 42,193,921 126,581,764 63,290,882 31,645,441 94,936,324 47,468,162 23,734,081 71,202,244 35,601,122 17,800,561 53,401,684 26,700,842 13,350,421 40,051,264 20,025,632 10,012,816 5,006,408 2,503,204 1,251,602 625,801 1,877,404 938,702 469,351 1,408,054 704,027 2,112,082 1,056,041 3,168,124 1,584,062 792,031 2,376,094 1,188,047 3,564,142 1,782,071 5,346,214 2,673,107 8,019,322 4,009,661 12,028,984 6,014,492 3,007,246 1,503,623 4,510,870 2,255,435 6,766,306 3,383,153 10,149,460 5,074,730 2,537,365 7,612,096 3,806,048 1,903,024

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #50,007,608 Browse Full Index Next Integer #50,007,610 →