424,235

5 × 7 × 17 × 23 × 31

424,235 factors as 5 × 7 × 17 × 23 × 31. Its 32 positive divisors give a proper-divisor sum of 239,317, so this integer is deficient. The Collatz stopping time is 81 steps.

Prime Factor Structure

Factorization String 5 × 7 × 17 × 23 × 31

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 663,552

Proper Divisor Sum 239,317

Digit Sum / Digital Root 20 (Root: 2)

Adjacent Primes #424231 ← → #424243

Radix Representation

Decimal	424235
Binary	1100111100100101011 (19 bits)
Octal	0o1474453
Hexadecimal	0x6792B

Divisor Catalog (32)

1 5 7 17 23 31 35 85 115 119 155 161 217 391 527 595 713 805 1,085 1,955 2,635 2,737 3,565 3,689 4,991 12,121 13,685 18,445 24,955 60,605 84,847 424,235

Collatz Trajectory (81 steps to reach 1)

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

424,235 1,272,706 636,353 1,909,060 954,530 477,265 1,431,796 715,898 357,949 1,073,848 536,924 268,462 134,231 402,694 201,347 604,042 302,021 906,064 453,032 226,516 113,258 56,629 169,888 84,944 42,472 21,236 10,618 5,309 15,928 7,964 3,982 1,991 5,974 2,987 8,962 4,481 13,444 6,722 3,361 10,084 5,042 2,521 7,564 3,782 1,891 5,674 2,837 8,512 4,256 2,128 1,064 532 266 133 400 200 100 50 25 76

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