7254
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 17472
- Proper Divisor Sum (Aliquot Sum)
- 10218
- 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
- 2160
- Möbius Function
- 0
- Radical
- 2418
- Omega Function (Ω)
- 5
- 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
- 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
- 57
- 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
- Expansion of Product_{m>=1} (1-m*q^m)^31.at n=4A022691
- Number of n-move self-avoiding knight paths on 6x6 board, beginning at corner.at n=7A025590
- Numbers that are divisible by 6 (and 18) and are differences between two cubes in at least one way.at n=24A038852
- Numbers ending with '4' that are the difference of two positive cubes.at n=19A038859
- Number of n-bead necklace structures using exactly three different colored beads.at n=11A056296
- Numbers k such that sigma(x) = k has exactly 7 solutions.at n=27A060663
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 67 ).at n=39A063340
- Integers of the form Sum_{i=1..m} phi(i)/gcd(m,i).at n=12A066970
- Numbers k such that A000984(k) mod k = 0 and A080383(k) != 7.at n=33A080392
- Natural numbers of the form p^3 - q^3, where p and q are primes.at n=30A086120
- Increasing gaps in A038593 (upper terms).at n=11A093362
- Numbers k such that 8*R_k - 5 is prime, where R_k = 11...1 is the repunit (A002275) of length k.at n=19A099422
- Numbers n such that 9*10^n-7 is prime.at n=19A103092
- a(1) = 1; a(n) = sum of previous terms a(k) such that a(k) + n is prime.at n=52A108867
- Arises in enumerating iterated point-line configurations.at n=39A140744
- Triangle read by rows: T(n,k) is the number of k-block partitions of an n-set up to rotations.at n=68A152175
- Sums of the antidiagonals of Sundaram's sieve (A159919).at n=25A159920
- a(n) = 2*n*A071148(n).at n=12A177082
- Number of -3..3 arrays x(0..n+1) of n+2 elements with zero sum and nonzero second differences.at n=3A200548
- T(n,k)=Number of -k..k arrays x(0..n+1) of n+2 elements with zero sum and nonzero second differences.at n=18A200553