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Number

21,401

21,401 is a prime, odd.

21,401 (twenty-one thousand four hundred one) is an odd 5-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x5399.

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

Interestingness

Properties

Parity
Odd
Digit count
5
Digit sum
8
Digit product
0
Digital root
8
Palindrome
No
Bit width
15 bits
Reversed
10,412
Recamán's sequence
a(41,037) = 21,401
Square (n²)
458,002,801
Cube (n³)
9,801,717,944,201
Divisor count
2
σ(n) — sum of divisors
21,402
φ(n) — Euler's totient
21,400

Primality

21,401 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 21401
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 21,401)
1 × 21401
First multiples
21,401 · 42,802 (double) · 64,203 · 85,604 · 107,005 · 128,406 · 149,807 · 171,208 · 192,609 · 214,010

Sums & aliquot sequence

As a sum of two squares: 76² + 125²
As consecutive integers: 10,700 + 10,701

Continued fraction of √n

√21,401 = [146; (3, 2, 3, 1, 1, 2, 1, 1, 1, 6, 1, 2, 6, 1, 3, 1, 2, 2, 2, 1, 1, 1, 9, 2, …)]

Representations

In words
twenty-one thousand four hundred one
Ordinal
21401st
Binary
101001110011001
Octal
51631
Hexadecimal
0x5399
Base64
U5k=
One's complement
44,134 (16-bit)
Scientific notation
2.1401 × 10⁴
As a duration
21,401 s = 5 hours, 56 minutes, 41 seconds
In other bases
ternary (3) 1002100122
quaternary (4) 11032121
quinary (5) 1141101
senary (6) 243025
septenary (7) 116252
nonary (9) 32318
undecimal (11) 15096
duodecimal (12) 10475
tridecimal (13) 9983
tetradecimal (14) 7b29
pentadecimal (15) 651b

As an angle

21,401° = 59 × 360° + 161°
161° ≈ 2.81 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓏺
Greek (Milesian)
͵καυαʹ
Mayan (base 20)
𝋢·𝋭·𝋪·𝋡
Chinese
二萬一千四百零一
Chinese (financial)
貳萬壹仟肆佰零壹
In other modern scripts
Eastern Arabic ٢١٤٠١ Devanagari २१४०१ Bengali ২১৪০১ Tamil ௨௧௪௦௧ Thai ๒๑๔๐๑ Tibetan ༢༡༤༠༡ Khmer ២១៤០១ Lao ໒໑໔໐໑ Burmese ၂၁၄၀၁

Digit at this position in famous constants

π — Pi (π)
Digit 21,401 = 3
e — Euler's number (e)
Digit 21,401 = 8
φ — Golden ratio (φ)
Digit 21,401 = 9
√2 — Pythagoras's (√2)
Digit 21,401 = 0
ln 2 — Natural log of 2
Digit 21,401 = 1
γ — Euler-Mascheroni (γ)
Digit 21,401 = 2

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 21,397 (gap of 4)
  • Next prime: 21,407 (gap of 6)

Pair status: cousin with 21397, sexy with 21407.

Unicode codepoint
CJK Unified Ideograph-5399
U+5399
Other letter (Lo)

UTF-8 encoding: E5 8E 99 (3 bytes).

Hex color
#005399
RGB(0, 83, 153)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.83.153.

Address
0.0.83.153
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.83.153

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

Position in π

The digit sequence 21401 first appears in π at position 160,003 of the decimal expansion (the 160,003ordinal-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.