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21,416

21,416 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.).
Deficient Number Odious Number Pernicious Number Recamán's Sequence Self Number

Properties

Parity
Even
Digit count
5
Digit sum
14
Digit product
48
Digital root
5
Palindrome
No
Bit width
15 bits
Reversed
61,412
Recamán's sequence
a(41,007) = 21,416
Square (n²)
458,645,056
Cube (n³)
9,822,342,519,296
Divisor count
8
σ(n) — sum of divisors
40,170
φ(n) — Euler's totient
10,704
Sum of prime factors
2,683

Primality

Prime factorization: 2 3 × 2677

Nearest primes: 21,407 (−9) · 21,419 (+3)

Divisors & multiples

All divisors (8)
1 · 2 · 4 · 8 · 2677 · 5354 · 10708 (half) · 21416
Aliquot sum (sum of proper divisors): 18,754
Factor pairs (a × b = 21,416)
1 × 21416
2 × 10708
4 × 5354
8 × 2677
First multiples
21,416 · 42,832 (double) · 64,248 · 85,664 · 107,080 · 128,496 · 149,912 · 171,328 · 192,744 · 214,160

Sums & aliquot sequence

As a sum of two squares: 10² + 146²
As consecutive integers: 1,331 + 1,332 + … + 1,346
Aliquot sequence: 21,416 18,754 9,380 13,468 16,324 19,964 23,044 23,100 60,228 114,492 208,068 347,004 754,740 1,866,060 4,607,316 9,020,844 17,040,100 — unresolved within range

Representations

In words
twenty-one thousand four hundred sixteen
Ordinal
21416th
Binary
101001110101000
Octal
51650
Hexadecimal
0x53A8
Base64
U6g=
One's complement
44,119 (16-bit)
In other bases
ternary (3) 1002101012
quaternary (4) 11032220
quinary (5) 1141131
senary (6) 243052
septenary (7) 116303
nonary (9) 32335
undecimal (11) 150aa
duodecimal (12) 10488
tridecimal (13) 9995
tetradecimal (14) 7b3a
pentadecimal (15) 652b

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵καυιϛʹ
Mayan (base 20)
𝋢·𝋭·𝋪·𝋰
Chinese
二萬一千四百一十六
Chinese (financial)
貳萬壹仟肆佰壹拾陸
In other modern scripts
Eastern Arabic ٢١٤١٦ Devanagari २१४१६ Bengali ২১৪১৬ Tamil ௨௧௪௧௬ Thai ๒๑๔๑๖ Tibetan ༢༡༤༡༦ Khmer ២១៤១៦ Lao ໒໑໔໑໖ Burmese ၂၁၄၁၆

Digit at this position in famous constants

π — Pi (π)
Digit 21,416 = 8
e — Euler's number (e)
Digit 21,416 = 9
φ — Golden ratio (φ)
Digit 21,416 = 5
√2 — Pythagoras's (√2)
Digit 21,416 = 3
ln 2 — Natural log of 2
Digit 21,416 = 1
γ — Euler-Mascheroni (γ)
Digit 21,416 = 2

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 21416, here are decompositions:

  • 19 + 21397 = 21416
  • 37 + 21379 = 21416
  • 97 + 21319 = 21416
  • 103 + 21313 = 21416
  • 139 + 21277 = 21416
  • 223 + 21193 = 21416
  • 229 + 21187 = 21416
  • 277 + 21139 = 21416

Showing the first eight; more decompositions exist.

Unicode codepoint
CJK Unified Ideograph-53A8
U+53A8
Other letter (Lo)

UTF-8 encoding: E5 8E A8 (3 bytes).

Hex color
#0053A8
RGB(0, 83, 168)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.83.168.

Address
0.0.83.168
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.83.168

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
000021416
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 21416 first appears in π at position 303,635 of the decimal expansion (the 303,635ordinal-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.