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21,216

21,216 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 Arithmetic Number Evil Number Gapful Number Harshad / Niven Practical Number Recamán's Sequence Semiperfect Number Zuckerman Number

Properties

Parity
Even
Digit count
5
Digit sum
12
Digit product
24
Digital root
3
Palindrome
No
Bit width
15 bits
Reversed
61,212
Recamán's sequence
a(41,407) = 21,216
Square (n²)
450,118,656
Cube (n³)
9,549,717,405,696
Divisor count
48
σ(n) — sum of divisors
63,504
φ(n) — Euler's totient
6,144
Sum of prime factors
43

Primality

Prime factorization: 2 5 × 3 × 13 × 17

Nearest primes: 21,211 (−5) · 21,221 (+5)

Divisors & multiples

All divisors (48)
1 · 2 · 3 · 4 · 6 · 8 · 12 · 13 · 16 · 17 · 24 · 26 · 32 · 34 · 39 · 48 · 51 · 52 · 68 · 78 · 96 · 102 · 104 · 136 · 156 · 204 · 208 · 221 · 272 · 312 · 408 · 416 · 442 · 544 · 624 · 663 · 816 · 884 · 1248 · 1326 · 1632 · 1768 · 2652 · 3536 · 5304 · 7072 · 10608 (half) · 21216
Aliquot sum (sum of proper divisors): 42,288
Factor pairs (a × b = 21,216)
1 × 21216
2 × 10608
3 × 7072
4 × 5304
6 × 3536
8 × 2652
12 × 1768
13 × 1632
16 × 1326
17 × 1248
24 × 884
26 × 816
32 × 663
34 × 624
39 × 544
48 × 442
51 × 416
52 × 408
68 × 312
78 × 272
96 × 221
102 × 208
104 × 204
136 × 156
First multiples
21,216 · 42,432 (double) · 63,648 · 84,864 · 106,080 · 127,296 · 148,512 · 169,728 · 190,944 · 212,160

Sums & aliquot sequence

As consecutive integers: 7,071 + 7,072 + 7,073 1,626 + 1,627 + … + 1,638 1,240 + 1,241 + … + 1,256 525 + 526 + … + 563
Aliquot sequence: 21,216 42,288 67,080 154,680 309,720 662,280 1,324,920 2,737,320 5,475,000 11,867,640 23,735,640 48,033,960 111,149,400 255,445,440 555,596,880 1,257,144,240 3,131,717,712 — unresolved within range

Representations

In words
twenty-one thousand two hundred sixteen
Ordinal
21216th
Binary
101001011100000
Octal
51340
Hexadecimal
0x52E0
Base64
UuA=
One's complement
44,319 (16-bit)
In other bases
ternary (3) 1002002210
quaternary (4) 11023200
quinary (5) 1134331
senary (6) 242120
septenary (7) 115566
nonary (9) 32083
undecimal (11) 14a38
duodecimal (12) 10340
tridecimal (13) 9870
tetradecimal (14) 7a36
pentadecimal (15) 6446

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓂍𓆼𓍢𓍢𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵κασιϛʹ
Mayan (base 20)
𝋢·𝋭·𝋠·𝋰
Chinese
二萬一千二百一十六
Chinese (financial)
貳萬壹仟貳佰壹拾陸
In other modern scripts
Eastern Arabic ٢١٢١٦ Devanagari २१२१६ Bengali ২১২১৬ Tamil ௨௧௨௧௬ Thai ๒๑๒๑๖ Tibetan ༢༡༢༡༦ Khmer ២១២១៦ Lao ໒໑໒໑໖ Burmese ၂၁၂၁၆

Digit at this position in famous constants

π — Pi (π)
Digit 21,216 = 7
e — Euler's number (e)
Digit 21,216 = 8
φ — Golden ratio (φ)
Digit 21,216 = 5
√2 — Pythagoras's (√2)
Digit 21,216 = 6
ln 2 — Natural log of 2
Digit 21,216 = 3
γ — Euler-Mascheroni (γ)
Digit 21,216 = 0

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 21216, here are decompositions:

  • 5 + 21211 = 21216
  • 23 + 21193 = 21216
  • 29 + 21187 = 21216
  • 37 + 21179 = 21216
  • 47 + 21169 = 21216
  • 53 + 21163 = 21216
  • 59 + 21157 = 21216
  • 67 + 21149 = 21216

Showing the first eight; more decompositions exist.

Unicode codepoint
CJK Unified Ideograph-52E0
U+52E0
Other letter (Lo)

UTF-8 encoding: E5 8B A0 (3 bytes).

Hex color
#0052E0
RGB(0, 82, 224)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.82.224.

Address
0.0.82.224
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.82.224

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

Position in π

The digit sequence 21216 first appears in π at position 212,118 of the decimal expansion (the 212,118ordinal-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.