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Number

34,213

34,213 is a prime, odd.

Arithmetic Number Cousin Prime Deficient Number Odious Number Pernicious Number Prime Pythagorean Prime Recamán's Sequence Squarefree Twin Prime

Properties

Parity
Odd
Digit count
5
Digit sum
13
Digit product
72
Digital root
4
Palindrome
No
Bit width
16 bits
Reversed
31,243
Recamán's sequence
a(77,238) = 34,213
Square (n²)
1,170,529,369
Cube (n³)
40,047,321,301,597
Divisor count
2
σ(n) — sum of divisors
34,214
φ(n) — Euler's totient
34,212

Primality

34,213 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 34213
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 34,213)
1 × 34213
First multiples
34,213 · 68,426 (double) · 102,639 · 136,852 · 171,065 · 205,278 · 239,491 · 273,704 · 307,917 · 342,130

Sums & aliquot sequence

As a sum of two squares: 33² + 182²
As consecutive integers: 17,106 + 17,107

Representations

In words
thirty-four thousand two hundred thirteen
Ordinal
34213th
Binary
1000010110100101
Octal
102645
Hexadecimal
0x85A5
Base64
haU=
One's complement
31,322 (16-bit)
In other bases
ternary (3) 1201221011
quaternary (4) 20112211
quinary (5) 2043323
senary (6) 422221
septenary (7) 201514
nonary (9) 51834
undecimal (11) 23783
duodecimal (12) 17971
tridecimal (13) 1275a
tetradecimal (14) c67b
pentadecimal (15) a20d

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋 𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓍢𓍢𓎆𓏺𓏺𓏺
Greek (Milesian)
͵λδσιγʹ
Mayan (base 20)
𝋤·𝋥·𝋪·𝋭
Chinese
三萬四千二百一十三
Chinese (financial)
參萬肆仟貳佰壹拾參
In other modern scripts
Eastern Arabic ٣٤٢١٣ Devanagari ३४२१३ Bengali ৩৪২১৩ Tamil ௩௪௨௧௩ Thai ๓๔๒๑๓ Tibetan ༣༤༢༡༣ Khmer ៣៤២១៣ Lao ໓໔໒໑໓ Burmese ၃၄၂၁၃

Digit at this position in famous constants

π — Pi (π)
Digit 34,213 = 2
e — Euler's number (e)
Digit 34,213 = 3
φ — Golden ratio (φ)
Digit 34,213 = 7
√2 — Pythagoras's (√2)
Digit 34,213 = 4
ln 2 — Natural log of 2
Digit 34,213 = 1
γ — Euler-Mascheroni (γ)
Digit 34,213 = 9

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 34,211 (gap of 2)
  • Next prime: 34,217 (gap of 4)

Pair status: twin with 34211, cousin with 34217.

Unicode codepoint
CJK Unified Ideograph-85A5
U+85A5
Other letter (Lo)

UTF-8 encoding: E8 96 A5 (3 bytes).

Hex color
#0085A5
RGB(0, 133, 165)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.133.165.

Address
0.0.133.165
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.133.165

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Position in π

The digit sequence 34213 first appears in π at position 210,639 of the decimal expansion (the 210,639ordinal-suffix:th digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.