3498
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 24
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 7776
- Proper Divisor Sum (Aliquot Sum)
- 4278
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 1040
- Möbius Function
- 1
- Radical
- 3498
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 4
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
- 118
- 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 non-stereoisomeric paraffins with n carbon atoms.at n=18A000627
- Total number of parts in all partitions of n. Also, sum of largest parts of all partitions of n.at n=19A006128
- Coordination sequence T5 for Zeolite Code DDR.at n=37A008075
- Coordination sequence T3 for Zeolite Code iRON.at n=41A009883
- Number of ordered triples of integers from [ 1,n ] with no common factors between pairs.at n=40A015632
- Numbers n such that n | 11^n + 11.at n=16A015903
- Cycle class sequence c(n) (the number of true cycles of length n in which a certain node is included) for zeolite NES = NU-87 H4[Al4Si64O136].nH2O starting with a T5 atom.at n=11A019206
- Numbers whose sum of divisors is a fifth power.at n=6A019423
- Positions of records in A030757.at n=50A030762
- Numbers having period-1 5-digitized sequences.at n=37A031187
- Coordination sequence T2 for Zeolite Code CFI.at n=39A033600
- Number of partitions in parts not of the form 21k, 21k+1 or 21k-1. Also number of partitions with no part of size 1 and differences between parts at distance 9 are greater than 1.at n=36A035979
- Triangle read by rows: T(n,k) = number of 2 X inf arrays [ n, n1, n2, ...; k, k1, k2,... ] with n>=n1>n2>...>=0, k>=k1>k2...>=0, n>k, n1>k1, ...; n >= 1, k >= 0. Note that once ni or ki = 0, the strict inequalities become equalities (constant 0 thereafter).at n=32A039597
- Numbers n such that string 9,8 occurs in the base 10 representation of n but not of n-1.at n=37A044430
- Numbers n such that string 9,8 occurs in the base 10 representation of n but not of n+1.at n=37A044811
- Coordination sequence T2 for Zeolite Code ISV.at n=41A047959
- Integers whose sum of divisors is 6^5 = 7776.at n=1A048255
- Pisot sequence L(4,9).at n=8A048582
- T(n,n-3), array T as in A054110.at n=19A054112
- a(1) = 1; thereafter a(n+1) = a(n) + product of nonzero digits of a(n).at n=49A063108