842,375

5³ × 23 × 293

842,375 has digital root 2. The neighboring primes are 842371 and 842383; its proper-divisor sum differs from the starting integer by -584,014.

Prime Factor Structure

Factorization String 5^3 × 23 × 293

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,100,736

Proper Divisor Sum 258,361

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #842371 ← → #842383

Radix Representation

Decimal	842375
Binary	11001101101010000111 (20 bits)
Octal	0o3155207
Hexadecimal	0xCDA87

Divisor Catalog (16)

1 5 23 25 115 125 293 575 1,465 2,875 6,739 7,325 33,695 36,625 168,475 842,375

Collatz Trajectory (113 steps to reach 1)

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

842,375 2,527,126 1,263,563 3,790,690 1,895,345 5,686,036 2,843,018 1,421,509 4,264,528 2,132,264 1,066,132 533,066 266,533 799,600 399,800 199,900 99,950 49,975 149,926 74,963 224,890 112,445 337,336 168,668 84,334 42,167 126,502 63,251 189,754 94,877 284,632 142,316 71,158 35,579 106,738 53,369 160,108 80,054 40,027 120,082 60,041 180,124 90,062 45,031 135,094 67,547 202,642 101,321 303,964 151,982 75,991 227,974 113,987 341,962 170,981 512,944 256,472 128,236 64,118 32,059

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