5037
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
- 8
- Divisor Sum
- 7104
- Proper Divisor Sum (Aliquot Sum)
- 2067
- 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
- 3168
- Möbius Function
- -1
- Radical
- 5037
- 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
- 85
- 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) = (4*n+1)*(4*n+5).at n=17A003185
- Powers of fifth root of 21 rounded down.at n=14A018174
- Powers of fifth root of 21 rounded to nearest integer.at n=14A018175
- a(n) = n*(19*n + 1)/2.at n=23A022277
- Fibonacci sequence beginning 1, 21.at n=13A022391
- a(n) = (2*n+5)*(2*n+1).at n=34A078371
- Let p and q be two prime numbers, not necessarily consecutive, such that q - p = 2n; then a(n) is the number of partitions of 2n into even numbers so that each partition corresponds to a consecutive prime difference pattern (k-tuple) and p <= A000230(n).at n=49A079023
- Numbers k such that p=k^2+2 and p+2 are primes.at n=46A086381
- Number of iterations of the sine function to be less than 1/n with an initial argument of Pi/2 radians.at n=40A092906
- Triangle read by rows: T(n,k) is the number of peakless Motzkin paths of length n and height k (can be easily expressed using RNA secondary structure terminology).at n=52A098076
- Positive integers that can be expressed as the difference between a factorial and a double factorial.at n=32A117125
- Start with 1 and repeatedly reverse the digits and add 61 to get the next term.at n=38A118156
- First trisection of A061037 (Balmer line series of the hydrogen atom).at n=23A142590
- a(n) = (8*n+5)*(8*n+9).at n=8A146302
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 1), (0, 0, 1), (0, 1, -1), (1, 0, 0), (1, 1, 1)}.at n=6A151188
- Sum_{j=k(n)..prime(n)} j where k is the n-th nonprime nonnegative integer.at n=27A161669
- Triangle related to the divergent series 1^m*1! - 2^m*2! + 3^m*3! - 4^m*4! + ... for m >= -1.at n=40A163940
- Fifth right hand column of triangle A163940.at n=4A163942
- a(n) = prime(n)^2-4.at n=19A166010
- Number of (n+3) X 7 binary arrays with every 4 X 4 subblock commuting with each horizontal and vertical neighbor 4 X 4 subblock.at n=4A188100