λ
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Atlas › Integer Profiles › Node 50,209,010

50,209,010

2 × 5 × 41 × 151 × 811
Deficient Even Composite

50,209,010 factors as 2 × 5 × 41 × 151 × 811. Its 32 positive divisors give a proper-divisor sum of 43,099,534, so this integer is deficient. The Collatz stopping time is 212 steps.

Prime Factor Structure

Factorization String 2 × 5 × 41 × 151 × 811
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 93,308,544
Proper Divisor Sum 43,099,534
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #50209009 ← → #50209013

Radix Representation

Decimal 50209010
Binary 10111111100010000011110010 (26 bits)
Octal 0o277420362
Hexadecimal 0x2FE20F2

Divisor Catalog (32)

1 2 5 10 41 82 151 205 302 410 755 811 1,510 1,622 4,055 6,191 8,110 12,382 30,955 33,251 61,910 66,502 122,461 166,255 244,922 332,510 612,305 1,224,610 5,020,901 10,041,802 25,104,505 50,209,010

Collatz Trajectory (212 steps to reach 1)

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

50,209,010 25,104,505 75,313,516 37,656,758 18,828,379 56,485,138 28,242,569 84,727,708 42,363,854 21,181,927 63,545,782 31,772,891 95,318,674 47,659,337 142,978,012 71,489,006 35,744,503 107,233,510 53,616,755 160,850,266 80,425,133 241,275,400 120,637,700 60,318,850 30,159,425 90,478,276 45,239,138 22,619,569 67,858,708 33,929,354 16,964,677 50,894,032 25,447,016 12,723,508 6,361,754 3,180,877 9,542,632 4,771,316 2,385,658 1,192,829 3,578,488 1,789,244 894,622 447,311 1,341,934 670,967 2,012,902 1,006,451 3,019,354 1,509,677 4,529,032 2,264,516 1,132,258 566,129 1,698,388 849,194 424,597 1,273,792 636,896 318,448

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