2506
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 13
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 4320
- Proper Divisor Sum (Aliquot Sum)
- 1814
- 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
- 1068
- Möbius Function
- -1
- Radical
- 2506
- Omega Function (Ω)
- 3
- 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
- 133
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- 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
- yes
- Odd
- no
Appears in sequences
- Number of binary partitions: number of partitions of 2n into powers of 2.at n=35A000123
- Number of partitions into non-integral powers.at n=6A000397
- Oscillates under partition transform.at n=41A007213
- If a, b in sequence, so is ab+6.at n=29A009307
- Coordination sequence T3 for Zeolite Code DFO.at n=38A009877
- Coordination sequence T4 for Zeolite Code RUT.at n=33A009900
- Coordination sequence T6 for Zeolite Code VNI.at n=31A009912
- Numbers k such that the continued fraction for sqrt(k) has period 46.at n=13A020385
- Convolution of natural numbers >= 2 and natural numbers >= 3.at n=20A023545
- Coordination sequence T1 for Zeolite Code SAT.at n=36A027373
- Coordination sequence T2 for Zeolite Code SAT.at n=36A027374
- Sequence satisfies T^2(a)=a, where T is defined below.at n=41A027596
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 20 ones.at n=38A031788
- Every run of digits of n in base 13 has length 2.at n=21A033011
- Numbers whose base-13 expansion has no run of digits with length < 2.at n=34A033026
- Decimal part of a(n)^(1/2) starts with reversal of its integer part: first term of runs.at n=34A034308
- Friedman numbers: can be written in a nontrivial way using their digits and the operations + - * / ^ and concatenation of digits (but not of results).at n=36A036057
- Number of 4-ary rooted trees with n nodes and height at most 6.at n=12A036611
- Positive numbers having the same set of digits in base 3 and base 7.at n=43A037419
- Base 7 digits are, in order, the first n terms of the periodic sequence with initial period 1,0,2.at n=4A037500