10697
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 23
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 11280
- Proper Divisor Sum (Aliquot Sum)
- 583
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 10116
- Möbius Function
- 1
- Radical
- 10697
- Omega Function (Ω)
- 2
- Little Omega Function (ω)
- 2
Special
- Factorial
- no
- Catalan Number
- no
- Bell Number
- no
- Motzkin Number
- no
- Primorial
- no
Figurate Numbers
- Fibonacci Number
- no
- Triangular Number
- no
- Perfect Square
- no
- Perfect Cube
- no
- Pentagonal Number
- no
- Hexagonal Number
- no
- Lucas Number
- no
- Tetrahedral Number
- no
- Pell Number
- no
- Tribonacci Number
- no
- Pronic Number
- no
Recreational
- Happy Number
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 192
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- Squarefree Number
- yes
- Prime Power
- no
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Numbers k such that the continued fraction for sqrt(k) has period 80.at n=36A020419
- Denominators of continued fraction convergents to sqrt(463).at n=11A041883
- Numerators of continued fraction convergents to sqrt(776).at n=4A042496
- Sequence A001033 gives the numbers n such that the sum of the squares of n consecutive odd numbers x^2 + (x+2)^2 + ... +(x+2n-2)^2 = k^2 for some integer k. For each n, this sequence gives the least value of k.at n=26A056132
- Numbers n such that the Reverse and Add! trajectory of n (presumably) does not reach a palindrome and does not join the trajectory of any term m < n.at n=12A063048
- Numbers k such that the Reverse and Add! trajectory of k (presumably) does not reach a palindrome (with the exception of k itself) and does not join the trajectory of any term m < k.at n=13A088753
- Number of base 29 circular n-digit numbers with adjacent digits differing by 1 or less.at n=7A124784
- a(n) = 2*n^3 - 3*n^2 + 5.at n=18A152064
- Half the number of n X 3 binary arrays with no element equal to a strict majority of its horizontal and vertical neighbors.at n=11A183304
- Numbers whose square can be written as sum of at least 3 consecutive triangular numbers in two ways.at n=7A256000
- Irregular triangle read by rows: T(n,k) is the number of primes with n balanced ternary digits of which 2k+1 (3 <= 2k+1 <= n) are nonzero.at n=38A277514
- Numbers k such that the Reverse and Add! trajectory of k (presumably) does not reach a palindrome and does not join the trajectory or one of the reverse numbers of the trajectory of any term m < k.at n=12A306232
- a(n) is the number of decompositions of H(n,1) into disjoint unions of H(j,k) where H(j,k) is the set of numbers { (2*i-1)*(2*k-1), 1 <= i <= j }.at n=32A336739
- Numbers k such that the sum of the first k lesser of twin primes is a lesser of twin prime.at n=32A376891
- Numbers k such that there is a smaller number m > 1 such that k*m equals the concatenation of digit-wise multiplication, keeping the leading digits of k when m has fewer digits.at n=35A392568