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Atlas › Integer Profiles › Node 50,008,310

50,008,310

2 × 5 × 11 × 383 × 1187
Deficient Even Composite

50,008,310 factors as 2 × 5 × 11 × 383 × 1187. Its 32 positive divisors give a proper-divisor sum of 48,529,162, so this integer is deficient. The Collatz stopping time is 160 steps.

Prime Factor Structure

Factorization String 2 × 5 × 11 × 383 × 1187
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 98,537,472
Proper Divisor Sum 48,529,162
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #50008307 ← → #50008337

Radix Representation

Decimal 50008310
Binary 10111110110001000011110110 (26 bits)
Octal 0o276610366
Hexadecimal 0x2FB10F6

Divisor Catalog (32)

1 2 5 10 11 22 55 110 383 766 1,187 1,915 2,374 3,830 4,213 5,935 8,426 11,870 13,057 21,065 26,114 42,130 65,285 130,570 454,621 909,242 2,273,105 4,546,210 5,000,831 10,001,662 25,004,155 50,008,310

Collatz Trajectory (160 steps to reach 1)

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

50,008,310 25,004,155 75,012,466 37,506,233 112,518,700 56,259,350 28,129,675 84,389,026 42,194,513 126,583,540 63,291,770 31,645,885 94,937,656 47,468,828 23,734,414 11,867,207 35,601,622 17,800,811 53,402,434 26,701,217 80,103,652 40,051,826 20,025,913 60,077,740 30,038,870 15,019,435 45,058,306 22,529,153 67,587,460 33,793,730 16,896,865 50,690,596 25,345,298 12,672,649 38,017,948 19,008,974 9,504,487 28,513,462 14,256,731 42,770,194 21,385,097 64,155,292 32,077,646 16,038,823 48,116,470 24,058,235 72,174,706 36,087,353 108,262,060 54,131,030 27,065,515 81,196,546 40,598,273 121,794,820 60,897,410 30,448,705 91,346,116 45,673,058 22,836,529 68,509,588

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