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Number

21,107

21,107 is a prime, odd.

21,107 (twenty-one thousand one hundred seven) is an odd 5-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x5273.

Arithmetic Number Cube-Free Deficient Number Evil Number Prime Recamán's Sequence Sexy Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
5
Digit sum
11
Digit product
0
Digital root
2
Palindrome
No
Bit width
15 bits
Reversed
70,112
Recamán's sequence
a(41,625) = 21,107
Square (n²)
445,505,449
Cube (n³)
9,403,283,512,043
Divisor count
2
σ(n) — sum of divisors
21,108
φ(n) — Euler's totient
21,106

Primality

21,107 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 21107
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 21,107)
1 × 21107
First multiples
21,107 · 42,214 (double) · 63,321 · 84,428 · 105,535 · 126,642 · 147,749 · 168,856 · 189,963 · 211,070

Sums & aliquot sequence

As consecutive integers: 10,553 + 10,554

Continued fraction of √n

√21,107 = [145; (3, 1, 1, 5, 1, 2, 1, 12, 2, 7, 6, 20, 1, 1, 2, 4, 2, 1, 2, 1, 4, 3, 1, 1, …)]

Representations

In words
twenty-one thousand one hundred seven
Ordinal
21107th
Binary
101001001110011
Octal
51163
Hexadecimal
0x5273
Base64
UnM=
One's complement
44,428 (16-bit)
Scientific notation
2.1107 × 10⁴
As a duration
21,107 s = 5 hours, 51 minutes, 47 seconds
In other bases
ternary (3) 1001221202
quaternary (4) 11021303
quinary (5) 1133412
senary (6) 241415
septenary (7) 115352
nonary (9) 31852
undecimal (11) 14949
duodecimal (12) 1026b
tridecimal (13) 97b8
tetradecimal (14) 7999
pentadecimal (15) 63c2

As an angle

21,107° = 58 × 360° + 227°
227° ≈ 3.962 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓂍𓆼𓍢𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵καρζʹ
Mayan (base 20)
𝋢·𝋬·𝋯·𝋧
Chinese
二萬一千一百零七
Chinese (financial)
貳萬壹仟壹佰零柒
In other modern scripts
Eastern Arabic ٢١١٠٧ Devanagari २११०७ Bengali ২১১০৭ Tamil ௨௧௧௦௭ Thai ๒๑๑๐๗ Tibetan ༢༡༡༠༧ Khmer ២១១០៧ Lao ໒໑໑໐໗ Burmese ၂၁၁၀၇

Digit at this position in famous constants

π — Pi (π)
Digit 21,107 = 8
e — Euler's number (e)
Digit 21,107 = 4
φ — Golden ratio (φ)
Digit 21,107 = 0
√2 — Pythagoras's (√2)
Digit 21,107 = 1
ln 2 — Natural log of 2
Digit 21,107 = 9
γ — Euler-Mascheroni (γ)
Digit 21,107 = 5

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 21,101 (gap of 6)
  • Next prime: 21,121 (gap of 14)

Pair status: sexy with 21101.

Unicode codepoint
CJK Unified Ideograph-5273
U+5273
Other letter (Lo)

UTF-8 encoding: E5 89 B3 (3 bytes).

Hex color
#005273
RGB(0, 82, 115)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.82.115.

Address
0.0.82.115
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.82.115

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

Position in π

The digit sequence 21107 first appears in π at position 65,963 of the decimal expansion (the 65,963ordinal-suffix:rd 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.