number.wiki
Live analysis

21,364

21,364 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.).
Abundant Number Evil Number Practical Number Recamán's Sequence Semiperfect Number

Properties

Parity
Even
Digit count
5
Digit sum
16
Digit product
144
Digital root
7
Palindrome
No
Bit width
15 bits
Reversed
46,312
Recamán's sequence
a(41,111) = 21,364
Square (n²)
456,420,496
Cube (n³)
9,750,967,476,544
Divisor count
18
σ(n) — sum of divisors
43,890
φ(n) — Euler's totient
9,072
Sum of prime factors
127

Primality

Prime factorization: 2 2 × 7 2 × 109

Nearest primes: 21,347 (−17) · 21,377 (+13)

Divisors & multiples

All divisors (18)
1 · 2 · 4 · 7 · 14 · 28 · 49 · 98 · 109 · 196 · 218 · 436 · 763 · 1526 · 3052 · 5341 · 10682 (half) · 21364
Aliquot sum (sum of proper divisors): 22,526
Factor pairs (a × b = 21,364)
1 × 21364
2 × 10682
4 × 5341
7 × 3052
14 × 1526
28 × 763
49 × 436
98 × 218
109 × 196
First multiples
21,364 · 42,728 (double) · 64,092 · 85,456 · 106,820 · 128,184 · 149,548 · 170,912 · 192,276 · 213,640

Sums & aliquot sequence

As a sum of two squares: 42² + 140²
As consecutive integers: 3,049 + 3,050 + … + 3,055 2,667 + 2,668 + … + 2,674 412 + 413 + … + 460 354 + 355 + … + 409
Aliquot sequence: 21,364 22,526 16,114 11,534 6,226 3,998 2,002 2,030 2,290 1,850 1,684 1,270 1,034 694 350 394 200 — unresolved within range

Representations

In words
twenty-one thousand three hundred sixty-four
Ordinal
21364th
Binary
101001101110100
Octal
51564
Hexadecimal
0x5374
Base64
U3Q=
One's complement
44,171 (16-bit)
In other bases
ternary (3) 1002022021
quaternary (4) 11031310
quinary (5) 1140424
senary (6) 242524
septenary (7) 116200
nonary (9) 32267
undecimal (11) 15062
duodecimal (12) 10444
tridecimal (13) 9955
tetradecimal (14) 7b00
pentadecimal (15) 64e4

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓂍𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵κατξδʹ
Mayan (base 20)
𝋢·𝋭·𝋨·𝋤
Chinese
二萬一千三百六十四
Chinese (financial)
貳萬壹仟參佰陸拾肆
In other modern scripts
Eastern Arabic ٢١٣٦٤ Devanagari २१३६४ Bengali ২১৩৬৪ Tamil ௨௧௩௬௪ Thai ๒๑๓๖๔ Tibetan ༢༡༣༦༤ Khmer ២១៣៦៤ Lao ໒໑໓໖໔ Burmese ၂၁၃၆၄

Digit at this position in famous constants

π — Pi (π)
Digit 21,364 = 8
e — Euler's number (e)
Digit 21,364 = 4
φ — Golden ratio (φ)
Digit 21,364 = 3
√2 — Pythagoras's (√2)
Digit 21,364 = 0
ln 2 — Natural log of 2
Digit 21,364 = 2
γ — Euler-Mascheroni (γ)
Digit 21,364 = 6

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 21364, here are decompositions:

  • 17 + 21347 = 21364
  • 23 + 21341 = 21364
  • 41 + 21323 = 21364
  • 47 + 21317 = 21364
  • 137 + 21227 = 21364
  • 173 + 21191 = 21364
  • 257 + 21107 = 21364
  • 263 + 21101 = 21364

Showing the first eight; more decompositions exist.

Unicode codepoint
CJK Unified Ideograph-5374
U+5374
Other letter (Lo)

UTF-8 encoding: E5 8D B4 (3 bytes).

Hex color
#005374
RGB(0, 83, 116)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.83.116.

Address
0.0.83.116
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.83.116

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

Possible US bank routing number

This passes the ABA routing number checksum and matches the Federal Reserve numbering scheme.

Routing number
000021364
Federal Reserve
United States Government

Banks operate many routing numbers per state and division; an unmatched checksum-valid number can still be a real RTN at a smaller institution.

Position in π

The digit sequence 21364 first appears in π at position 47,240 of the decimal expansion (the 47,240ordinal-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.