7612
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
- 3
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 14616
- Proper Divisor Sum (Aliquot Sum)
- 7004
- 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
- 3440
- Möbius Function
- 0
- Radical
- 3806
- 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
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 132
- 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
- 10-gonal (or decagonal) numbers: a(n) = n*(4*n-3).at n=44A001107
- Even 10-gonal (or decagonal) numbers.at n=22A028994
- Expansion of (3 + x^2) / (1 - x)^4.at n=21A037237
- The least k such that A063994(k) = Product_{primes p dividing k} gcd(p-1, k-1) = n, or 0 if there's no such k.at n=42A064234
- Numbers k such that k+1 is composite and divides 3^k-2^k.at n=20A068410
- Trajectory of 1001 under "3x+1" map.at n=10A100709
- Numbers n such that 9*10^n + 3*R_n + 4 is prime, where R_n = 11...1 is the repunit (A002275) of length n.at n=23A103096
- Number of imprimitive (periodic) bracelets (or necklaces) with n red or blue beads such that the beads switch colors when bracelet is turned over.at n=35A115121
- a(n) = A144453(n)/16.at n=43A146537
- a(n) = Least i in range [A165583(n),A165583(n+1)] for which abs(A165582(i)) gets the maximum value in that range.at n=28A165584
- Number of nondecreasing arrangements of n+3 numbers in 0..3 with each number being the sum mod 4 of three others.at n=30A183898
- Expansion of 1/(1 - x*A001764(x/(1-x))/(1-x)).at n=7A186185
- Number of ordered triples (w,x,y) with all terms in {-n,...-1,1,...,n} and w+x+y>2.at n=13A211614
- Principal diagonal of the convolution array A213825.at n=10A213826
- a(n+1) is equal to a(n) plus the number of primes between a(n) and 2*a(n) inclusively.at n=49A220850
- Number of Sidon subsets of {1,...,n} of size 5.at n=22A241689
- Number of length n+4 0..4 arrays with no pair in any consecutive five terms totalling exactly 4.at n=3A246733
- T(n,k)=Number of length n+4 0..k arrays with no pair in any consecutive five terms totalling exactly k.at n=24A246737
- Number of length 4+4 0..n arrays with no pair in any consecutive five terms totalling exactly n.at n=3A246741
- Number of partitions of n into parts > 0 without 1 as digit, cf. A052383.at n=50A248518