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Number

21,341

21,341 is a prime, odd.

21,341 (twenty-one thousand three hundred forty-one) is an odd 5-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x535D.

Arithmetic Number Chen Prime Cube-Free Deficient Number Happy Number Odious Number Prime Pythagorean Prime Recamán's Sequence Sexy Prime Sophie Germain Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
5
Digit sum
11
Digit product
24
Digital root
2
Palindrome
No
Bit width
15 bits
Reversed
14,312
Recamán's sequence
a(41,157) = 21,341
Square (n²)
455,438,281
Cube (n³)
9,719,508,354,821
Divisor count
2
σ(n) — sum of divisors
21,342
φ(n) — Euler's totient
21,340

Primality

21,341 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 21341
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 21,341)
1 × 21341
First multiples
21,341 · 42,682 (double) · 64,023 · 85,364 · 106,705 · 128,046 · 149,387 · 170,728 · 192,069 · 213,410

Sums & aliquot sequence

As a sum of two squares: 5² + 146²
As consecutive integers: 10,670 + 10,671

Continued fraction of √n

√21,341 = [146; (11, 1, 2, 6, 3, 2, 1, 3, 6, 1, 5, 1, 13, 1, 3, 14, 2, 1, 4, 1, 1, 1, 3, 5, …)]

Representations

In words
twenty-one thousand three hundred forty-one
Ordinal
21341st
Binary
101001101011101
Octal
51535
Hexadecimal
0x535D
Base64
U10=
One's complement
44,194 (16-bit)
Scientific notation
2.1341 × 10⁴
As a duration
21,341 s = 5 hours, 55 minutes, 41 seconds
In other bases
ternary (3) 1002021102
quaternary (4) 11031131
quinary (5) 1140331
senary (6) 242445
septenary (7) 116135
nonary (9) 32242
undecimal (11) 15041
duodecimal (12) 10425
tridecimal (13) 9938
tetradecimal (14) 7ac5
pentadecimal (15) 64cb

As an angle

21,341° = 59 × 360° + 101°
101° ≈ 1.763 rad
Compass bearing: E (east)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓂍𓂍𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺
Greek (Milesian)
͵κατμαʹ
Mayan (base 20)
𝋢·𝋭·𝋧·𝋡
Chinese
二萬一千三百四十一
Chinese (financial)
貳萬壹仟參佰肆拾壹
In other modern scripts
Eastern Arabic ٢١٣٤١ Devanagari २१३४१ Bengali ২১৩৪১ Tamil ௨௧௩௪௧ Thai ๒๑๓๔๑ Tibetan ༢༡༣༤༡ Khmer ២១៣៤១ Lao ໒໑໓໔໑ Burmese ၂၁၃၄၁

Digit at this position in famous constants

π — Pi (π)
Digit 21,341 = 0
e — Euler's number (e)
Digit 21,341 = 6
φ — Golden ratio (φ)
Digit 21,341 = 2
√2 — Pythagoras's (√2)
Digit 21,341 = 2
ln 2 — Natural log of 2
Digit 21,341 = 0
γ — Euler-Mascheroni (γ)
Digit 21,341 = 2

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 21,323 (gap of 18)
  • Next prime: 21,347 (gap of 6)

Pair status: sexy with 21347.

Unicode codepoint
CJK Unified Ideograph-535D
U+535D
Other letter (Lo)

UTF-8 encoding: E5 8D 9D (3 bytes).

Hex color
#00535D
RGB(0, 83, 93)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.83.93.

Address
0.0.83.93
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.83.93

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

Position in π

The digit sequence 21341 first appears in π at position 102,788 of the decimal expansion (the 102,788ordinal-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.

Related reading

  • Prime numbers — The building blocks of arithmetic: what primes are, why they matter, and how we find them.
  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.