4172
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
- 3
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 8400
- Proper Divisor Sum (Aliquot Sum)
- 4228
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- yes
Derived Values
- Euler's Totient
- 1776
- Möbius Function
- 0
- Radical
- 2086
- Omega Function (Ω)
- 4
- 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
- yes
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 126
- 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
- Coordination sequence T2 for Zeolite Code MEI.at n=47A008147
- Powers of fourth root of 13 rounded to nearest integer.at n=13A018082
- Powers of fourth root of 13 rounded up.at n=13A018083
- a(n) = p(1)p(n) + p(2)p(n-1) + ... + p(k)p(n-k+1), where k = [ n/2 ], p = A000040, the primes.at n=18A025129
- Expansion of 1/((1-2x)(1-3x)(1-6x)(1-11x)).at n=3A025941
- a(n)=(s(n)+6)/10, where s(n)=n-th base 10 palindrome that starts with 4.at n=39A043083
- Numbers having three 1's in base 8.at n=33A043427
- Numbers whose base-4 representation contains exactly four 0's and two 1's.at n=20A045035
- Numbers whose base-4 representation contains exactly four 0's and one 3.at n=34A045082
- Numbers n such that n | 11^n + 10^n + 9^n + 8^n + 7^n + 6^n + 5^n.at n=22A057264
- Positive numbers whose product of digits is four times their sum.at n=37A062036
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 59 ).at n=29A063332
- Number of distinct coefficients in expansion related to enumeration of permutations of length n by length of longest subsequence.at n=17A068604
- Smallest integer >= 0 of the form x^4 - n^3.at n=28A070928
- Composites which use more than all their digits in their prime factorization.at n=37A074237
- a(n) is the index of the first occurrence of n in A080071, or 0 for those n>0 which never occur in A080071.at n=12A080090
- Fourth binomial transform of F(n+1).at n=5A081569
- Square array of binomial transforms of Fibonacci numbers, read by ascending antidiagonals.at n=50A081572
- Least positive multiples of index n that can result from the self-convolution of a monotonically increasing sequence (A087148).at n=40A087149
- Numbers n whose abundance is 56.at n=34A101260