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Atlas › Integer Profiles › Node 50,165,254

50,165,254

2 × 23 × 31 × 127 × 277
Deficient Even Composite

50,165,254 factors as 2 × 23 × 31 × 127 × 277. Its 32 positive divisors give a proper-divisor sum of 31,820,282, so this integer is deficient. The Collatz stopping time is 199 steps.

Prime Factor Structure

Factorization String 2 × 23 × 31 × 127 × 277
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 81,985,536
Proper Divisor Sum 31,820,282
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #50165251 ← → #50165257

Radix Representation

Decimal 50165254
Binary 10111111010111011000000110 (26 bits)
Octal 0o277273006
Hexadecimal 0x2FD7606

Divisor Catalog (32)

1 2 23 31 46 62 127 254 277 554 713 1,426 2,921 3,937 5,842 6,371 7,874 8,587 12,742 17,174 35,179 70,358 90,551 181,102 197,501 395,002 809,117 1,090,549 1,618,234 2,181,098 25,082,627 50,165,254

Collatz Trajectory (199 steps to reach 1)

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

50,165,254 25,082,627 75,247,882 37,623,941 112,871,824 56,435,912 28,217,956 14,108,978 7,054,489 21,163,468 10,581,734 5,290,867 15,872,602 7,936,301 23,808,904 11,904,452 5,952,226 2,976,113 8,928,340 4,464,170 2,232,085 6,696,256 3,348,128 1,674,064 837,032 418,516 209,258 104,629 313,888 156,944 78,472 39,236 19,618 9,809 29,428 14,714 7,357 22,072 11,036 5,518 2,759 8,278 4,139 12,418 6,209 18,628 9,314 4,657 13,972 6,986 3,493 10,480 5,240 2,620 1,310 655 1,966 983 2,950 1,475

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