7609
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 22
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 8704
- Proper Divisor Sum (Aliquot Sum)
- 1095
- 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
- 6516
- Möbius Function
- 1
- Radical
- 7609
- 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
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 31
- 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
- Eleven iterations of Reverse and Add are needed to reach a palindrome.at n=14A015992
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 50 ones.at n=23A031818
- Lucky numbers with size of gaps equal to 20 (lower terms).at n=14A031902
- Multiplicity of highest weight (or singular) vectors associated with character chi_19 of Monster module.at n=37A034407
- Composite and every divisor (except 1) contains the digit 7.at n=40A062676
- Numbers which need eleven 'Reverse and Add' steps to reach a palindrome.at n=13A065216
- Numbers k such that sigma(k) mod pi(k) = 1.at n=13A073723
- Number of partitions of n such that the size of the tail below the Durfee square is equal to the size of the tail to the right of the Durfee square.at n=52A114424
- Triangle read by rows: T(n,k) is the number of skew Dyck paths of semilength n and having height of the first peak equal to k (1 <= k <= n).at n=38A128744
- Euler transform of powers of 7.at n=4A144071
- Expansion of g.f. x*(1-3*x-8*x^2)/(1+5*x^2-32*x^4).at n=9A152269
- Partial sums of Pillai primes (A063980).at n=32A172034
- Keith sequence for the number 197.at n=13A186830
- Number of lattice paths from (0,0) to (n,n) using steps (0,1), (1,0), (2,2), (3,3).at n=7A192417
- Number of (n+2) X 9 0..1 matrices with each 3 X 3 subblock idempotent.at n=11A224558
- Number of n X 3 0..2 arrays with no element equal to a different number of vertical neighbors than horizontal neighbors, with new values 0..2 introduced in row major order.at n=5A240888
- Number of nX6 0..2 arrays with no element equal to a different number of vertical neighbors than horizontal neighbors, with new values 0..2 introduced in row major order.at n=2A240891
- T(n,k)=Number of nXk 0..2 arrays with no element equal to a different number of vertical neighbors than horizontal neighbors, with new values 0..2 introduced in row major order.at n=30A240893
- T(n,k)=Number of nXk 0..2 arrays with no element equal to a different number of vertical neighbors than horizontal neighbors, with new values 0..2 introduced in row major order.at n=33A240893
- Triangle read by rows: T(n,k) is the number of subpermutations of an n-set whose orbits are each of size at most k.at n=24A261763