1501
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 7
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 1600
- Proper Divisor Sum (Aliquot Sum)
- 99
- 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
- 1404
- Möbius Function
- 1
- Radical
- 1501
- Omega Function (Ω)
- 2
- Little Omega Function (ω)
- 2
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
- 47
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- 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
- Number of fixed-point-free permutation groups of degree n.at n=11A000637
- Sum_{n>=0} a(n)*x^n/n!^2 = BesselI(0,2*(1-exp(x))^(1/2)).at n=6A001569
- The game of Mousetrap with n cards: the number of permutations of n cards in which 2 is the only hit.at n=6A002469
- Centered pentagonal numbers: (5n^2+5n+2)/2; crystal ball sequence for 3.3.3.4.4. planar net.at n=24A005891
- Cellular automaton with Rule 230: 000, 001, 010, 011, ..., 111 -> 0,1,1,0,0,1,1,1.at n=10A006977
- Coordination sequence T1 for Zeolite Code MEP.at n=23A008157
- Coordination sequence T2 for Zeolite Code YUG.at n=25A008248
- a(n) = (n+1)*(n^2 +8*n +6)/6. Number of n-dimensional partitions of 4. Number of terms in 4th derivative of a function composed with itself n times.at n=18A008778
- Coordination sequence T2 for Zeolite Code -WEN.at n=28A009863
- Coordination sequence T1 for Zeolite Code iRON.at n=27A009881
- a(n) = floor(n*(n-1)*(n-2)*(n-3)/16).at n=14A011926
- Pseudoprimes to base 56.at n=18A020184
- Strong pseudoprimes to base 56.at n=4A020282
- Numbers k such that the continued fraction for sqrt(k) has period 60.at n=3A020399
- Convolution of A023532 and A000201.at n=47A023602
- Numbers k such that the sum of the digits of Fibonacci(k) in base 11 is k.at n=42A025490
- Index of 8^n within the sequence of the numbers of the form 7^i*8^j.at n=52A025731
- a(n) = (d(n)-r(n))/2, where d = A026043 and r is the periodic sequence with fundamental period (1,1,0,0).at n=17A026044
- Sum{T(n-k,k)}, 0<=k<=[ n/2 ], where T is the array in A026386.at n=13A026397
- Distinct odd elements in 3-Pascal triangle A028262 (by row).at n=45A028268