7144
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 14400
- Proper Divisor Sum (Aliquot Sum)
- 7256
- 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
- 3312
- Möbius Function
- 0
- Radical
- 1786
- Omega Function (Ω)
- 5
- 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
- 75
- 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
- Weighted count of partitions with odd parts.at n=40A005896
- a(n) = Sum_{j=0..n} Sum_{k=0..j} A026615(j, k).at n=11A026624
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 13 ones.at n=16A031781
- McKay-Thompson series of class 41A for Monster.at n=45A058670
- Numbers m such that 13^m reversed is prime.at n=5A058995
- Positive numbers whose product of digits is 7 times their sum.at n=21A062384
- Zero, together with positive numbers k such that prime(k) - k is a square.at n=33A064370
- Antidiagonal sums of A086272 (and of A086273).at n=18A086274
- Number of permissible patterns of primes in a fixed interval of n consecutive integers.at n=32A094660
- Real part of absolute Gaussian perfect numbers, in order of increasing magnitude.at n=20A102531
- Numbers n such that prime(n) - n is a perfect power.at n=39A107607
- a(n) = (5*n-7)*(n-1).at n=38A147874
- Partial sums of round(n^2/5).at n=47A173690
- The Wiener index of the P_3 X P_n grid, where P_m is the path graph on m nodes. The Wiener index of a connected graph is the sum of distances between all unordered pairs of nodes in the graph.at n=15A180569
- Number of nondecreasing sequences of n 1..6 integers with every element dividing the sequence sum.at n=27A212534
- Number of minimal coprime labelings for the complete bipartite graph K_{n,n}.at n=29A213806
- Values x of successive minima records of k = log(x)/log(d) where d runs through the positive values of x^3-round(sqrt(x^3))^2.at n=11A232536
- Number of nX4 0..3 arrays with no element equal to one plus the sum of elements to its left or zero plus the sum of elements above it or zero plus the sum of the elements diagonally to its northwest or one plus the sum of the elements antidiagonally to its northeast, modulo 4.at n=7A241052
- T(n,k)=Number of nXk 0..3 arrays with no element equal to one plus the sum of elements to its left or zero plus the sum of the elements above it or zero plus the sum of the elements diagonally to its northwest or one plus the sum of the elements antidiagonally to its northeast, modulo 4.at n=62A241054
- a(1)=1, a(n+1) is the smallest number m such that A244447(a(n)) < A244447(m).at n=7A246626