7667
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 26
- Digital Root
- 8
- Palindromic Number
- yes
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 5
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 9072
- Proper Divisor Sum (Aliquot Sum)
- 1405
- 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
- 6400
- Möbius Function
- -1
- Radical
- 7667
- Omega Function (Ω)
- 3
- Little Omega Function (ω)
- 3
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
- 57
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- 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
- a(n) = n*(n+1)*(n+8)/6.at n=33A006503
- Expansion of tanh(tanh(x)*exp(x)).at n=7A009822
- Palindromic in bases 6 and 10.at n=16A029963
- 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 87.at n=10A031585
- Number of partitions of n into parts not of the form 21k, 21k+4 or 21k-4. Also number of partitions with at most 3 parts of size 1 and differences between parts at distance 9 are greater than 1.at n=34A035982
- Denominators of continued fraction convergents to sqrt(801).at n=8A042545
- Base-10 palindromes that start with 7.at n=18A043042
- Numbers having four 5's in base 6.at n=12A043392
- Palindromes with exactly 3 distinct prime factors.at n=32A046393
- 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=21A056132
- a(n) = n^2 + (n^2 with digits reversed).at n=34A061226
- Write 0, 1, 2, 3, 4, ... in a triangular spiral, then a(n) is the sequence found by reading the terms along the line from 0 in the direction 0, 7, ...at n=41A062725
- Numbers k such that k and its reversal are both multiples of 17.at n=27A062906
- Palindromes with successive increasing difference: a(k)-a(k-1) > a(k+1)- a(k).at n=31A071250
- a(n) is the smallest number of the form k + reverse(k) for exactly n integers k, or -1 if no such number exists.at n=49A072041
- Palindromic odd composite numbers that are the products of an odd number of distinct primes.at n=17A075808
- Palindromic odd numbers with exactly 3 prime factors (counted with multiplicity).at n=26A075814
- Palindromic odd composite numbers with an odd number of prime factors (counted with multiplicity).at n=28A075815
- Expansion of exp(3*x) - exp(x)*(1-BesselI_0(2*x)).at n=8A081673
- Palindromes not divisible by any of their digits.at n=45A082947