Properties of the Number 3506

Three Thousand Five Hundred Six

Basics

Value: 3505 → 3506 → 3507

Parity: even

Prime: No

Previous Prime: 3499

Next Prime: 3511

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 2 × 1753

Divisors: 1, 2, 1753, 3506

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110110110010

Octal: 6662

Duodecimal: 2042

Hexadecimal: db2

Square: 12292036

Square Root: 59.21148537234985

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: No

Perfect Number: No

Special

Kaprekar Constant: No

Munchausen Constant: No

Armstrong Number: No

Kaprekar Number: No

Catalan Number: No

Vampire Number: No

Taxicab Number: No

Super Prime: No

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

a(n) = ∑_k=0..n p(k) where p(k) = number of partitions of k (A000041). A70

Number of palindromic partitions of n. A25065

Unitary untouchable numbers: us(x) = n has no solution where us(x) (A063919) is the sum of the proper unitary divisors of x. A63948

Numbers n such that every digit occurs at least once in n³. A119735

Lexicographically earliest sequence containing 3 and all positive integers n such that the prime indices of n - 1 already belong to the sequence. A324703

Least sum of 3 distinct nonzero squares in exactly n ways. A25415

Number of partitions of n with at most one odd part. A100824

T(n,k)=Number of (n+3)X(k+3) 0..2 matrices with each 4X4 subblock idempotent. A224728

Numbers k for which A003958(σ(k)) = A003958(k), where A003958 is multiplicative with a(p^e) = (p-1)^e and σ is the sum of divisors function. A351446

a(n+1)-+a(n)=prime, a(n+1)*a(n)=Average of twin prime pairs, a(1)=1,a(2)=4. A154493