λ
Ratio Atlas

50,130,751

11 × 31 × 147011
Deficient Odd Composite

50,130,751 factors as 11 × 31 × 147011. Its 8 positive divisors give a proper-divisor sum of 6,321,857, so this integer is deficient. The Collatz stopping time is 181 steps.

Prime Factor Structure

Factorization String 11 × 31 × 147011
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 56,452,608
Proper Divisor Sum 6,321,857
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #50130719 ← → #50130761

Radix Representation

Decimal 50130751
Binary 10111111001110111100111111 (26 bits)
Octal 0o277167477
Hexadecimal 0x2FCEF3F

Divisor Catalog (8)

Collatz Trajectory (181 steps to reach 1)

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

50,130,751 150,392,254 75,196,127 225,588,382 112,794,191 338,382,574 169,191,287 507,573,862 253,786,931 761,360,794 380,680,397 1,142,041,192 571,020,596 285,510,298 142,755,149 428,265,448 214,132,724 107,066,362 53,533,181 160,599,544 80,299,772 40,149,886 20,074,943 60,224,830 30,112,415 90,337,246 45,168,623 135,505,870 67,752,935 203,258,806 101,629,403 304,888,210 152,444,105 457,332,316 228,666,158 114,333,079 342,999,238 171,499,619 514,498,858 257,249,429 771,748,288 385,874,144 192,937,072 96,468,536 48,234,268 24,117,134 12,058,567 36,175,702 18,087,851 54,263,554 27,131,777 81,395,332 40,697,666 20,348,833 61,046,500 30,523,250 15,261,625 45,784,876 22,892,438 11,446,219

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