λ
Ratio Atlas

50,009,761

50009761
Deficient Odd Prime

50,009,761 factors as 50009761. Its 2 positive divisors give a proper-divisor sum of 1, so this integer is deficient. The Collatz stopping time is 160 steps.

Prime Factor Structure

Factorization String 50009761
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 50,009,762
Proper Divisor Sum 1
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #50009747 ← → #50009803

Radix Representation

Decimal 50009761
Binary 10111110110001011010100001 (26 bits)
Octal 0o276613241
Hexadecimal 0x2FB16A1

Divisor Catalog (2)

Collatz Trajectory (160 steps to reach 1)

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

50,009,761 150,029,284 75,014,642 37,507,321 112,521,964 56,260,982 28,130,491 84,391,474 42,195,737 126,587,212 63,293,606 31,646,803 94,940,410 47,470,205 142,410,616 71,205,308 35,602,654 17,801,327 53,403,982 26,701,991 80,105,974 40,052,987 120,158,962 60,079,481 180,238,444 90,119,222 45,059,611 135,178,834 67,589,417 202,768,252 101,384,126 50,692,063 152,076,190 76,038,095 228,114,286 114,057,143 342,171,430 171,085,715 513,257,146 256,628,573 769,885,720 384,942,860 192,471,430 96,235,715 288,707,146 144,353,573 433,060,720 216,530,360 108,265,180 54,132,590 27,066,295 81,198,886 40,599,443 121,798,330 60,899,165 182,697,496 91,348,748 45,674,374 22,837,187 68,511,562

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