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Number

21,001

21,001 is a prime, odd.

Arithmetic Number Chen Prime Deficient Number Odious Number Pernicious Number Prime Pythagorean Prime Recamán's Sequence Squarefree

Properties

Parity
Odd
Digit count
5
Digit sum
4
Digit product
0
Digital root
4
Palindrome
No
Bit width
15 bits
Reversed
10,012
Recamán's sequence
a(41,837) = 21,001
Square (n²)
441,042,001
Cube (n³)
9,262,323,063,001
Divisor count
2
σ(n) — sum of divisors
21,002
φ(n) — Euler's totient
21,000

Primality

21,001 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 21001
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 21,001)
1 × 21001
First multiples
21,001 · 42,002 (double) · 63,003 · 84,004 · 105,005 · 126,006 · 147,007 · 168,008 · 189,009 · 210,010

Sums & aliquot sequence

As a sum of two squares: 75² + 124²
As consecutive integers: 10,500 + 10,501

Representations

In words
twenty-one thousand one
Ordinal
21001st
Binary
101001000001001
Octal
51011
Hexadecimal
0x5209
Base64
Ugk=
One's complement
44,534 (16-bit)
In other bases
ternary (3) 1001210211
quaternary (4) 11020021
quinary (5) 1133001
senary (6) 241121
septenary (7) 115141
nonary (9) 31724
undecimal (11) 14862
duodecimal (12) 101a1
tridecimal (13) 9736
tetradecimal (14) 7921
pentadecimal (15) 6351

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋 𒁹
Egyptian hieroglyphic
𓂍𓂍𓆼𓏺
Greek (Milesian)
͵κααʹ
Mayan (base 20)
𝋢·𝋬·𝋪·𝋡
Chinese
二萬一千零一
Chinese (financial)
貳萬壹仟零壹
In other modern scripts
Eastern Arabic ٢١٠٠١ Devanagari २१००१ Bengali ২১০০১ Tamil ௨௧௦௦௧ Thai ๒๑๐๐๑ Tibetan ༢༡༠༠༡ Khmer ២១០០១ Lao ໒໑໐໐໑ Burmese ၂၁၀၀၁

Digit at this position in famous constants

π — Pi (π)
Digit 21,001 = 2
e — Euler's number (e)
Digit 21,001 = 4
φ — Golden ratio (φ)
Digit 21,001 = 2
√2 — Pythagoras's (√2)
Digit 21,001 = 8
ln 2 — Natural log of 2
Digit 21,001 = 3
γ — Euler-Mascheroni (γ)
Digit 21,001 = 2

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 20,983 (gap of 18)
  • Next prime: 21,011 (gap of 10)
Unicode codepoint
CJK Unified Ideograph-5209
U+5209
Other letter (Lo)

UTF-8 encoding: E5 88 89 (3 bytes).

Hex color
#005209
RGB(0, 82, 9)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.82.9.

Address
0.0.82.9
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.82.9

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

Position in π

The digit sequence 21001 first appears in π at position 49,228 of the decimal expansion (the 49,228ordinal-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.