696,475

5² × 13 × 2143

696,475 factors as 5^2 × 13 × 2143. Its 12 positive divisors give a proper-divisor sum of 234,021, so this integer is deficient. The Collatz stopping time is 136 steps.

Prime Factor Structure

Factorization String 5^2 × 13 × 2143

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 930,496

Proper Divisor Sum 234,021

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #696457 ← → #696481

Radix Representation

Decimal	696475
Binary	10101010000010011011 (20 bits)
Octal	0o2520233
Hexadecimal	0xAA09B

Divisor Catalog (12)

1 5 13 25 65 325 2,143 10,715 27,859 53,575 139,295 696,475

Collatz Trajectory (136 steps to reach 1)

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

696,475 2,089,426 1,044,713 3,134,140 1,567,070 783,535 2,350,606 1,175,303 3,525,910 1,762,955 5,288,866 2,644,433 7,933,300 3,966,650 1,983,325 5,949,976 2,974,988 1,487,494 743,747 2,231,242 1,115,621 3,346,864 1,673,432 836,716 418,358 209,179 627,538 313,769 941,308 470,654 235,327 705,982 352,991 1,058,974 529,487 1,588,462 794,231 2,382,694 1,191,347 3,574,042 1,787,021 5,361,064 2,680,532 1,340,266 670,133 2,010,400 1,005,200 502,600 251,300 125,650 62,825 188,476 94,238 47,119 141,358 70,679 212,038 106,019 318,058 159,029

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