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21,348

21,348 is a composite number, even.

This number doesn't have a permanent NumberWiki page yet — what you see below is computed live. Pages get added to the permanent index when they're notable (years, primes, curated, etc.).

21,348 (twenty-one thousand three hundred forty-eight) is an even 5-digit number. It is a composite number with 18 divisors, and factors as 2² × 3² × 593. Its proper divisors sum to 32,706, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x5364.

Abundant Number Arithmetic Number Cube-Free Happy Number Harshad / Niven Odious Number Pernicious Number Recamán's Sequence Refactorable Number Self Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
5
Digit sum
18
Digit product
192
Digital root
9
Palindrome
No
Bit width
15 bits
Reversed
84,312
Recamán's sequence
a(41,143) = 21,348
Square (n²)
455,737,104
Cube (n³)
9,729,075,696,192
Divisor count
18
σ(n) — sum of divisors
54,054
φ(n) — Euler's totient
7,104
Sum of prime factors
603

Primality

Prime factorization: 2 2 × 3 2 × 593

Nearest primes: 21,347 (−1) · 21,377 (+29)

Divisors & multiples

All divisors (18)
1 · 2 · 3 · 4 · 6 · 9 · 12 · 18 · 36 · 593 · 1186 · 1779 · 2372 · 3558 · 5337 · 7116 · 10674 (half) · 21348
Aliquot sum (sum of proper divisors): 32,706
Factor pairs (a × b = 21,348)
1 × 21348
2 × 10674
3 × 7116
4 × 5337
6 × 3558
9 × 2372
12 × 1779
18 × 1186
36 × 593
First multiples
21,348 · 42,696 (double) · 64,044 · 85,392 · 106,740 · 128,088 · 149,436 · 170,784 · 192,132 · 213,480

Sums & aliquot sequence

As a sum of two squares: 48² + 138²
As consecutive integers: 7,115 + 7,116 + 7,117 2,665 + 2,666 + … + 2,672 2,368 + 2,369 + … + 2,376 878 + 879 + … + 901
Aliquot sequence: 21,348 32,706 42,174 61,506 85,374 123,714 164,286 191,706 197,094 202,074 202,086 244,074 270,006 319,242 477,942 477,954 610,686 — unresolved within range

Continued fraction of √n

√21,348 = [146; (9, 7, 1, 3, 1, 2, 4, 1, 1, 2, 7, 1, 2, 1, 1, 1, 3, 2, 12, 3, 1, 3, 4, 32, …)]

Period length 48 — the block in parentheses repeats forever.

Representations

In words
twenty-one thousand three hundred forty-eight
Ordinal
21348th
Binary
101001101100100
Octal
51544
Hexadecimal
0x5364
Base64
U2Q=
One's complement
44,187 (16-bit)
Scientific notation
2.1348 × 10⁴
As a duration
21,348 s = 5 hours, 55 minutes, 48 seconds
In other bases
ternary (3) 1002021200
quaternary (4) 11031210
quinary (5) 1140343
senary (6) 242500
septenary (7) 116145
nonary (9) 32250
undecimal (11) 15048
duodecimal (12) 10430
tridecimal (13) 9942
tetradecimal (14) 7acc
pentadecimal (15) 64d3

As an angle

21,348° = 59 × 360° + 108°
108° ≈ 1.885 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓂍𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵κατμηʹ
Mayan (base 20)
𝋢·𝋭·𝋧·𝋨
Chinese
二萬一千三百四十八
Chinese (financial)
貳萬壹仟參佰肆拾捌
In other modern scripts
Eastern Arabic ٢١٣٤٨ Devanagari २१३४८ Bengali ২১৩৪৮ Tamil ௨௧௩௪௮ Thai ๒๑๓๔๘ Tibetan ༢༡༣༤༨ Khmer ២១៣៤៨ Lao ໒໑໓໔໘ Burmese ၂၁၃၄၈

Digit at this position in famous constants

π — Pi (π)
Digit 21,348 = 8
e — Euler's number (e)
Digit 21,348 = 8
φ — Golden ratio (φ)
Digit 21,348 = 0
√2 — Pythagoras's (√2)
Digit 21,348 = 2
ln 2 — Natural log of 2
Digit 21,348 = 7
γ — Euler-Mascheroni (γ)
Digit 21,348 = 1

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 21348, here are decompositions:

  • 7 + 21341 = 21348
  • 29 + 21319 = 21348
  • 31 + 21317 = 21348
  • 71 + 21277 = 21348
  • 79 + 21269 = 21348
  • 101 + 21247 = 21348
  • 127 + 21221 = 21348
  • 137 + 21211 = 21348

Showing the first eight; more decompositions exist.

Unicode codepoint
CJK Unified Ideograph-5364
U+5364
Other letter (Lo)

UTF-8 encoding: E5 8D A4 (3 bytes).

Hex color
#005364
RGB(0, 83, 100)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.83.100.

Address
0.0.83.100
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.83.100

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

Position in π

The digit sequence 21348 first appears in π at position 69,616 of the decimal expansion (the 69,616ordinal-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

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.