Properties of the Number 3654

Three Thousand Six Hundred Fifty-Four

Basics

Value: 3653 → 3654 → 3655

Parity: even

Prime: No

Previous Prime: 3643

Next Prime: 3659

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 × 3 ² × 7 × 29

Divisors: 1, 2, 3, 6, 7, 9, 14, 18, 21, 29

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: Yes

Today's Target

2196 Try Today's Challenge

Representations

Binary: 111001000110

Octal: 7106

Duodecimal: 2146

Hexadecimal: e46

Square: 13351716

Square Root: 60.44832503882965

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

Tetrahedral (or triangular pyramidal) numbers: a(n) = C(n+2,3) = n*(n+1)*(n+2)/6. A292

a(n) = 1² + 3² + 5² + 7² + ... + (2·n-1)² = n*(4·n² - 1)/3. A447

a(n) = n*(2·n + 3). A14106

Number of compositions of n such that each part is adjacent to an equal part. A114901

Number of partitions of n with a product greater than n. A114324

9 times the triangular numbers A000217. A27468

Number of length n inversion sequences avoiding the patterns 010, 120, and 210. A279558

Triangular array read by rows: T(n, k) = binomial(n, k) * A000129(n - k) for 0 <= k < n. A367211

T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row and diagonal sum equal to 0 2 5 6 or 7 and every 3X3 column and antidiagonal sum not equal to 0 2 5 6 or 7. A252679

a(n) = tau_n(n) = number of ordered n-factorizations of n. A163767