842,674

2 × 7 × 23 × 2617

842,674 has digital root 4. The neighboring primes are 842657 and 842701; its proper-divisor sum differs from the starting integer by -177,380.

Prime Factor Structure

Factorization String 2 × 7 × 23 × 2617

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,507,968

Proper Divisor Sum 665,294

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #842657 ← → #842701

Radix Representation

Decimal	842674
Binary	11001101101110110010 (20 bits)
Octal	0o3155662
Hexadecimal	0xCDBB2

Divisor Catalog (16)

1 2 7 14 23 46 161 322 2,617 5,234 18,319 36,638 60,191 120,382 421,337 842,674

Collatz Trajectory (175 steps to reach 1)

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

842,674 421,337 1,264,012 632,006 316,003 948,010 474,005 1,422,016 711,008 355,504 177,752 88,876 44,438 22,219 66,658 33,329 99,988 49,994 24,997 74,992 37,496 18,748 9,374 4,687 14,062 7,031 21,094 10,547 31,642 15,821 47,464 23,732 11,866 5,933 17,800 8,900 4,450 2,225 6,676 3,338 1,669 5,008 2,504 1,252 626 313 940 470 235 706 353 1,060 530 265 796 398 199 598 299 898

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