5370
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 12960
- Proper Divisor Sum (Aliquot Sum)
- 7590
- 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
- 1424
- Möbius Function
- 1
- Radical
- 5370
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 4
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
- yes
- Hexagonal Number
- no
- Lucas Number
- no
- Tetrahedral Number
- no
- Pell Number
- no
- Tribonacci Number
- no
- Pronic Number
- no
Recreational
- Happy Number
- no
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 98
- 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
- Expansion of 1/((1-x)^3*(1-x^2)^2*(1-x^3)).at n=19A002625
- Even pentagonal numbers.at n=30A014633
- Number of partitions of 1/n into 4 reciprocals of positive integers.at n=9A020327
- a(n) = (d(n)-r(n))/2, where d = A026060 and r is the periodic sequence with fundamental period (1,0,0,0).at n=31A026061
- Number of partitions in parts not of the form 17k, 17k+1 or 17k-1. Also number of partitions with no part of size 1 and differences between parts at distance 7 are greater than 1.at n=39A035962
- Pentagonal numbers with even index.at n=30A049452
- Number of labeled rooted trees with n nodes and 2-colored internal (non-leaf) nodes.at n=4A052316
- Number of primes having exactly the same digits as appear in first n primes.at n=6A053095
- Number of 11-core partitions of n.at n=46A053691
- a(n)/n^2 is the minimal average squared Euclidean distance of n points to their center of gravity among all configurations of n points on the hexagonal lattice.at n=33A059518
- Sequence of sums based on primes = 7 mod 8.at n=17A060108
- Numbers k such that k and its reversal are both multiples of 15.at n=31A062905
- Non-palindromic number and its reversal are both multiples of 15.at n=26A062914
- Numbers k that, when expressed in base 5 and then interpreted in base 9, give a multiple of k.at n=25A062931
- Smallest number a(n) > n such that a(n)! contains n! as a substring.at n=12A086654
- Numbers n such that pi(n)=pi(d_1!)+pi(d_2!)+...+pi(d_k!) where d_1 d_2 ...d_k is the decimal expansion of n.at n=5A105327
- Pentagonal numbers for which the product of the digits is also a pentagonal number.at n=23A117710
- Pentagonal numbers divisible by 5.at n=24A117793
- Sum of consecutives primes p and q where p == 3 mod (10) and q == 7 mod (10).at n=36A138018
- Numbers k such that k^1 + k^2 + k^3 + k^4 -+ 1 are twin primes.at n=47A156021