7688
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 29
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 6
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 14895
- Proper Divisor Sum (Aliquot Sum)
- 7207
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3720
- Möbius Function
- 0
- Radical
- 62
- Omega Function (Ω)
- 5
- 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
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 52
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- Prime Power
- no
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- yes
- Achilles Number
- yes
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- yes
- Odd
- no
Appears in sequences
- Coordination sequence for lattice {E_7}*.at n=3A008921
- Least k>1 such that reverse of first n terms of A006928 repeats beginning at k-th term.at n=51A025509
- Least k>1 such that reverse of first n terms of A022303 repeats beginning at k-th term.at n=45A025520
- a(n) = (1/s(1) + 1/s(2) + ... + 1/s(n+1)) * LCM{1, 2, ..., n}, where s(k) = LCM{1,2,...,k}/k = A002944(k).at n=10A025537
- Expansion of 1/((1-4x)(1-5x)(1-7x)(1-12x)).at n=3A028119
- Number of symmetrically inequivalent coincidence rotations of icosian ring of index n.at n=60A031366
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 21.at n=37A031519
- Positions of the incrementally largest terms in the continued fraction for Laplace's limit constant.at n=7A033263
- Coordination sequence for lattice D*_62 (with edges defined by l_1 norm = 1).at n=2A035816
- Coordination sequence for diamond structure D^+_62. (Edges defined by l_1 norm = 1.)at n=2A035907
- Number of partitions in parts not of the form 9k, 9k+1 or 9k-1. Also number of partitions with no part of size 1 and differences between parts at distance 3 are greater than 1.at n=47A035940
- Numbers with multiplicative persistence value 6.at n=3A046515
- Numbers n such that n^3 is the sum of two nonzero squares in exactly one way.at n=36A050804
- Number of unlabeled asymmetric 4-ary cacti having n polygons.at n=7A052395
- Number of fixed n-celled polyominoes with 1 hole.at n=4A057419
- McKay-Thompson series of class 42A for Monster.at n=47A058671
- The prime factors of n are also prime factors of the decimal encoding (A067599) of the prime factorization of n.at n=21A067671
- a(1) = 1; a(2n) is the smallest prime == 1 mod (a(2n-1)) and a(2n+1) is the smallest composite number == 1 (mod a(2n)).at n=18A075340
- a(1) = 1, a(2n) is the smallest composite number == 1 mod (a(2n-1)) and a(2n+1) is the smallest prime == 1 (mod a(2n)).at n=23A075341
- Twice a square but not the sum of 2 distinct squares.at n=37A081324