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Atlas › Integer Profiles › Node 50,003,410

50,003,410

2 × 5 × 43 × 103 × 1129
Deficient Even Composite

Prime Factor Structure

Factorization String 2 × 5 × 43 × 103 × 1129
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 93,075,840
Proper Divisor Sum 43,072,430
Digit Sum / Digital Root 13 (Root: 4)
Adjacent Primes #50003399 ← → #50003411

Radix Representation

Decimal 50003410
Binary 10111110101111110111010010 (26 bits)
Octal 0o276576722
Hexadecimal 0x2FAFDD2

Divisor Catalog (32)

1 2 5 10 43 86 103 206 215 430 515 1,030 1,129 2,258 4,429 5,645 8,858 11,290 22,145 44,290 48,547 97,094 116,287 232,574 242,735 485,470 581,435 1,162,870 5,000,341 10,000,682 25,001,705 50,003,410

Collatz Trajectory (186 steps to reach 1)

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

50,003,410 25,001,705 75,005,116 37,502,558 18,751,279 56,253,838 28,126,919 84,380,758 42,190,379 126,571,138 63,285,569 189,856,708 94,928,354 47,464,177 142,392,532 71,196,266 35,598,133 106,794,400 53,397,200 26,698,600 13,349,300 6,674,650 3,337,325 10,011,976 5,005,988 2,502,994 1,251,497 3,754,492 1,877,246 938,623 2,815,870 1,407,935 4,223,806 2,111,903 6,335,710 3,167,855 9,503,566 4,751,783 14,255,350 7,127,675 21,383,026 10,691,513 32,074,540 16,037,270 8,018,635 24,055,906 12,027,953 36,083,860 18,041,930 9,020,965 27,062,896 13,531,448 6,765,724 3,382,862 1,691,431 5,074,294 2,537,147 7,611,442 3,805,721 11,417,164

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