7202
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 11
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 11676
- Proper Divisor Sum (Aliquot Sum)
- 4474
- 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
- 3312
- Möbius Function
- -1
- Radical
- 7202
- 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
- 119
- 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
- yes
- Odd
- no
Appears in sequences
- Numbers that are the sum of 9 positive 7th powers.at n=32A003376
- Coordination sequence for body-centered tetragonal lattice.at n=30A008527
- Coordination sequence for NiAs(2), As position.at n=40A009945
- Coordination sequence for NiAs(2), Ni position.at n=40A009946
- a(0) = 1, a(n) = 18*n^2 + 2 for n>0.at n=20A010008
- a(0) = 1, a(n) = 32*n^2 + 2 for n > 0.at n=15A010021
- Numbers k such that the continued fraction for sqrt(k) has period 9.at n=40A010339
- Maximal base 7 run length is 4.at n=29A037991
- Denominators of continued fraction convergents to sqrt(454).at n=9A041865
- Numbers whose base-7 representation contains exactly four 6's.at n=2A043420
- Length of hypotenuse squared in right triangle formed by a prime spiral plotted in Cartesian coordinates.at n=17A048851
- Numbers k such that k^6 == 1 (mod 7^4).at n=17A056092
- Hypotenuses of special Pythagorean triples constructed from twin primes as follows: {u, w}={p,p+2}; side a=2p(p+2), side b=(p+2)^2-p^2 and the terms of sequence are values of c=a(n)=p^2+(p+2)^2=phi(a/2)+1+sigma(a/2)+1.at n=6A063533
- a(n) = prime(n+1)^2 + prime(n)^2.at n=16A069484
- a(n) = 2^n + 5^n + 9^n.at n=4A074540
- Terms m of A003337 such that m+1 is also in A003337. I.e., smaller one of two consecutive numbers, both equal to a sum of three 4th powers.at n=1A085322
- Numbers of the form p^3 + q^3, p, q primes.at n=30A086119
- Numbers which are the sum of two positive cubes and divisible by 13.at n=33A094447
- a(n) = n^3 - 2*n^2 + 2.at n=19A100109
- a(n) = (2*n-1)^2 + (2*n+1)^2.at n=30A108100