λ
Sigma Notebook

688,511

688511
Deficient Odd Prime

688,511 is odd and not a perfect square. Its factorization is 688511 and its 2 divisors sum to 688,512.

Prime Factor Structure

Factorization String 688511
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 688,512
Proper Divisor Sum 1
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #688477 ← → #688531

Radix Representation

Decimal 688511
Binary 10101000000101111111 (20 bits)
Octal 0o2500577
Hexadecimal 0xA817F

Divisor Catalog (2)

Collatz Trajectory (105 steps to reach 1)

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

688,511 2,065,534 1,032,767 3,098,302 1,549,151 4,647,454 2,323,727 6,971,182 3,485,591 10,456,774 5,228,387 15,685,162 7,842,581 23,527,744 11,763,872 5,881,936 2,940,968 1,470,484 735,242 367,621 1,102,864 551,432 275,716 137,858 68,929 206,788 103,394 51,697 155,092 77,546 38,773 116,320 58,160 29,080 14,540 7,270 3,635 10,906 5,453 16,360 8,180 4,090 2,045 6,136 3,068 1,534 767 2,302 1,151 3,454 1,727 5,182 2,591 7,774 3,887 11,662 5,831 17,494 8,747 26,242

More profiles

← Previous Integer #688,510 Browse Full Index Next Integer #688,512 →