7520
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 14
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 18144
- Proper Divisor Sum (Aliquot Sum)
- 10624
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 2944
- Möbius Function
- 0
- Radical
- 470
- Omega Function (Ω)
- 7
- 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
- 132
- 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
- no
- Achilles Number
- no
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- yes
- Odd
- no
Appears in sequences
- Theta series of D_5 lattice.at n=42A005930
- Numbers k such that sigma(k) = sigma(k+10).at n=16A015880
- Expansion of 1/((1-3x)(1-11x)(1-12x)).at n=3A018208
- 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 43.at n=19A031541
- Numbers k such that k | sigma_13(k) - phi(k)^13.at n=16A055707
- Least multiple of n such that the n-th partial sum is an n-th power with the condition that a(n+1) exists.at n=4A090962
- Numbers n such that the n-th prime - n is a cube.at n=9A105645
- Numbers n such that prime(n) - n is a perfect power.at n=40A107607
- Numbers n such that prime(n) - n is a prime power.at n=17A109315
- Numbers n such that p(2n) is prime, where p(n) is the number of partitions of n.at n=46A114165
- Numbers k such that both k and the k-th prime have nonincreasing digits.at n=41A116067
- Eigenvector of triangle A118919, so that a(n) = Sum_{k=0..floor(n/2)} A118919(n,k)*a(k).at n=7A119243
- 3*Volume of the root-n Waterman polyhedron as defined in A119870.at n=37A119873
- Indices k such that A020508(k)=Phi[k](-9) is prime, where Phi is a cyclotomic polynomial.at n=49A138921
- Terms of A061047 ending in 0.at n=16A146950
- Numbers k such that k and k+3 are in A002822.at n=45A173233
- Terms of A177763 which have more than one such representation.at n=13A177766
- Number of strings of numbers x(i=1..7) in 0..n with sum i*x(i)^4 equal to 7*n^4.at n=39A184851
- Monotonic ordering of nonnegative differences 6^i-2^j, for 40>=i>=0, j>=0.at n=32A192117
- Monotonic ordering of nonnegative differences 6^i-4^j, for 40>= i>=0, j>=0.at n=18A192164