7172
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 13776
- Proper Divisor Sum (Aliquot Sum)
- 6604
- 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
- 3240
- Möbius Function
- 0
- Radical
- 3586
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 119
- 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 for 4-dimensional I-centered tetragonal orthogonal lattice.at n=11A001386
- Numbers that are the sum of 11 positive 10th powers.at n=7A004811
- a(n) = 1 + a(floor(n/2))*a(ceiling(n/2)).at n=22A005468
- Number of graphs with n nodes, n-1 edges and no isolated vertices.at n=11A006648
- Kaprekar triples: q such that q = x + y + z and q^3 = x*10^2n + y*10^n + z, where z < 10^n and n is the number of digits in q. q is not a power of 10 (except q=1).at n=12A006887
- Least k such that first k terms of A022303 contain n more 2's than 1's.at n=7A025518
- Numbers k such that k^2 is palindromic in base 15.at n=42A030073
- Pair up the numbers.at n=35A030655
- Number of partitions of n into parts not of the form 25k, 25k+11 or 25k-11. Also number of partitions with at most 10 parts of size 1 and differences between parts at distance 11 are greater than 1.at n=31A036010
- a(n)=(s(n)+3)/10, where s(n)=n-th base 10 palindrome that starts with 7.at n=39A043086
- Number of basis partitions of n+49 with Durfee square size 7.at n=22A053802
- Pseudo-Kaprekar triples: q such that if q=x+y+z, then q^3=x*10^i + y*10^j + z, where (y*10^j+z < 10^i) and z < 10^j.at n=22A060768
- Erroneous version of A006887.at n=13A060809
- Partition the concatenation 1234567...of natural numbers into successive strings which are even, all different and > 2. (0 never taken as the most significant digit.)at n=45A077295
- a(n) = Sum{j_1 + ... + j_n = n} Sum_{k=1..n} k*C(n-1,k-1), where the outer sum is over all partitions of n.at n=9A084362
- Natural numbers written out with their digits grouped in sets of 5 (leading zeros omitted).at n=26A091341
- Nontrivial slowest increasing sequence whose succession of digits is that of the nonnegative integers.at n=36A098080
- a(n) is the number of positive integers <= 10^n that are divisible by no prime exceeding 3.at n=45A100752
- Number of partitions of 2n free of multiples of 5. All odd parts occur with multiplicity 2 or 4. the even parts occur at most twice.at n=31A103257
- Numbers k such that the numerator of the Bernoulli number B(2k) ends with the digits 691.at n=26A132184