7627
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 22
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 7920
- Proper Divisor Sum (Aliquot Sum)
- 293
- 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
- 7336
- Möbius Function
- 1
- Radical
- 7627
- 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
- 83
- Smith Number
- yes
- 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
- Numbers with exactly 7 1's in their ternary expansion.at n=19A023698
- Numbers whose set of base-9 digits is {1,4}.at n=35A032821
- Sums of 7 distinct powers of 3.at n=11A038469
- a(n) = (9*n^2 + 3*n + 2)/2.at n=41A038764
- Denominators of continued fraction convergents to sqrt(670).at n=8A042289
- Bessel function |J_0(n)| is a monotonically decreasing positive sequence.at n=36A046962
- Numbers k such that k^12 == 1 (mod 13^3).at n=40A056086
- Numbers k such that k^12 == 1 (mod 13^4).at n=4A056095
- Numbers k such that sigma(k) divides sigma(phi(k)).at n=32A066831
- Numbers n such that sigma(phi(n))/sigma(n) = 2.at n=22A067382
- Record values in A073524.at n=14A073529
- Greatest number m such that only n editing steps (deletion, insertion, or substitution) are needed to transform the binary representation of m into ternary representation of m.at n=4A091111
- Number of compositions of n in which the largest part is equal to the number of parts.at n=18A098124
- Numerator of x(n) = Sum_{k=1..n} ((odd part of k)/(k^4)).at n=3A111920
- Numbers k such that 3 and 5 do not divide binomial(2*k, k).at n=39A129508
- a(n) = n*(9*n+2).at n=29A147296
- Number of binary strings of length n with no substrings equal to 0001 0010 or 1101.at n=18A164452
- a(n) = 8*n^2 - 2*n + 1.at n=31A185438
- Number of nondecreasing arrangements of 5 numbers x(i) in -(n+3)..(n+3) with the sum of sign(x(i))*x(i)^2 zero.at n=33A188005
- Number of 9's in the last section of the set of partitions of n.at n=48A206559