Properties of the Number 7212

Seven Thousand Two Hundred Twelve

Basics

Value: 7211 → 7212 → 7213

Parity: even

Prime: No

Previous Prime: 7211

Next Prime: 7213

Digit Sum: 12

Digital Root: 3

Palindrome: No

Factorization: 2 ² × 3 × 601

Divisors: 1, 2, 3, 4, 6, 12, 601, 1202, 1803, 2404

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1110000101100

Octal: 16054

Duodecimal: 4210

Hexadecimal: 1c2c

Square: 52012944

Square Root: 84.92349498224858

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

Multiples of 12 containing a 12 in their decimal representation. A121032

Numbers k such that k² divides 5^k-1. A127105

Egyptian fractions: number of partitions of 1 into reciprocals of positive integers <= n. A20473

T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with every 3X3 subblock diagonal sum plus antidiagonal median nondecreasing horizontally, vertically and ne-to-sw antidiagonally. A254020

Numbers k that, when expressed in base 4 and then interpreted in base 8, give a multiple of k. A62923

T(n,k)=Number of nXk 0..2 arrays with no element x(i,j) adjacent to value 2-x(i,j) horizontally, vertically or antidiagonally. A232941

a(0) = 1, a(1) = 0, a(2) = -1; for n >= 3, a(n) = - a(n-2) + ∑_{primes p with 3 <= p <= n} a(n-p). A2121

Numbers k such that 5^k mod k = 5^k mod k². A125775

a(n) = n*(25·n + 1)/2. A22283

Expansion of ∏_k>=1 (1 + x^2·k) / (1 - x^k). A279328