7507
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 7508
- Proper Divisor Sum (Aliquot Sum)
- 1
- 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
- 7506
- Möbius Function
- -1
- Radical
- 7507
- Omega Function (Ω)
- 1
- Little Omega Function (ω)
- 1
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
- 163
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- yes
- Composite Number
- no
- Semiprime
- no
- Squarefree Number
- yes
- Prime Power
- yes
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 951
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Numbers k such that the continued fraction for sqrt(k) has period 98.at n=4A020437
- Primes that remain prime through 3 iterations of function f(x) = 5x + 2.at n=15A023283
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 85.at n=26A031583
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 54 ones.at n=15A031822
- Number of partitions of n with equal number of parts congruent to each of 1, 2 and 4 (mod 5).at n=57A035579
- Numerators of continued fraction convergents to sqrt(321).at n=4A041606
- Discriminants of imaginary quadratic fields with class number 11 (negated).at n=27A046008
- Primes such that the sum of the factorials of the digits is a perfect square.at n=23A052279
- Coefficients of the '6th-order' mock theta function sigma(q).at n=50A053271
- Primes p with property that p concatenated with its emirp p' (prime reversal) forms a palindromic prime of the form 'primemirp' (rightmost digit of p and leftmost digit of p' are blended together - p and p' palindromic allowed).at n=38A054217
- Primes starting and ending with 7.at n=19A062334
- Emirps which when concatenated with their reversals after a 0 make a palindromic prime of the form emirp0prime.at n=29A070954
- Smallest prime p such that 2*p+1 has n distinct prime factors.at n=4A072059
- Primes of the form 2*x^3 + 3*x^2 + 5*x + 7.at n=7A078625
- Class 6+ primes.at n=3A081634
- Balanced primes of order two.at n=37A082077
- a(n) is the maximal row sum in the character table of the symmetric group S_n.at n=11A085547
- 2*3*5*6*...*a(n) -+ 1 are primes, with a(n+1) > a(n).at n=32A087900
- Primes which when concatenated with their reverse and incremented by 2 yield a new prime.at n=43A088883
- Indices of primes in sequence defined by A(0) = 97, A(n) = 10*A(n-1) - 63 for n > 0.at n=19A100998