470,842

2 × 397 × 593

470,842 has digital root 7. The neighboring primes are 470837 and 470863; its proper-divisor sum differs from the starting integer by -232,448.

Prime Factor Structure

Factorization String 2 × 397 × 593

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 709,236

Proper Divisor Sum 238,394

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #470837 ← → #470863

Radix Representation

Decimal	470842
Binary	1110010111100111010 (19 bits)
Octal	0o1627472
Hexadecimal	0x72F3A

Divisor Catalog (8)

1 2 397 593 794 1,186 235,421 470,842

Collatz Trajectory (107 steps to reach 1)

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

470,842 235,421 706,264 353,132 176,566 88,283 264,850 132,425 397,276 198,638 99,319 297,958 148,979 446,938 223,469 670,408 335,204 167,602 83,801 251,404 125,702 62,851 188,554 94,277 282,832 141,416 70,708 35,354 17,677 53,032 26,516 13,258 6,629 19,888 9,944 4,972 2,486 1,243 3,730 1,865 5,596 2,798 1,399 4,198 2,099 6,298 3,149 9,448 4,724 2,362 1,181 3,544 1,772 886 443 1,330 665 1,996 998 499

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