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Number

21,397

21,397 is a prime, odd.

Arithmetic Number Cousin Prime Deficient Number Evil Number Prime Pythagorean Prime Recamán's Sequence Sexy Prime Squarefree

Properties

Parity
Odd
Digit count
5
Digit sum
22
Digit product
378
Digital root
4
Palindrome
No
Bit width
15 bits
Reversed
79,312
Recamán's sequence
a(41,045) = 21,397
Square (n²)
457,831,609
Cube (n³)
9,796,222,937,773
Divisor count
2
σ(n) — sum of divisors
21,398
φ(n) — Euler's totient
21,396

Primality

21,397 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 21397
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 21,397)
1 × 21397
First multiples
21,397 · 42,794 (double) · 64,191 · 85,588 · 106,985 · 128,382 · 149,779 · 171,176 · 192,573 · 213,970

Sums & aliquot sequence

As a sum of two squares: 9² + 146²
As consecutive integers: 10,698 + 10,699

Representations

In words
twenty-one thousand three hundred ninety-seven
Ordinal
21397th
Binary
101001110010101
Octal
51625
Hexadecimal
0x5395
Base64
U5U=
One's complement
44,138 (16-bit)
In other bases
ternary (3) 1002100111
quaternary (4) 11032111
quinary (5) 1141042
senary (6) 243021
septenary (7) 116245
nonary (9) 32314
undecimal (11) 15092
duodecimal (12) 10471
tridecimal (13) 997c
tetradecimal (14) 7b25
pentadecimal (15) 6517

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓂍𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵κατϟζʹ
Mayan (base 20)
𝋢·𝋭·𝋩·𝋱
Chinese
二萬一千三百九十七
Chinese (financial)
貳萬壹仟參佰玖拾柒
In other modern scripts
Eastern Arabic ٢١٣٩٧ Devanagari २१३९७ Bengali ২১৩৯৭ Tamil ௨௧௩௯௭ Thai ๒๑๓๙๗ Tibetan ༢༡༣༩༧ Khmer ២១៣៩៧ Lao ໒໑໓໙໗ Burmese ၂၁၃၉၇

Digit at this position in famous constants

π — Pi (π)
Digit 21,397 = 1
e — Euler's number (e)
Digit 21,397 = 5
φ — Golden ratio (φ)
Digit 21,397 = 8
√2 — Pythagoras's (√2)
Digit 21,397 = 3
ln 2 — Natural log of 2
Digit 21,397 = 4
γ — Euler-Mascheroni (γ)
Digit 21,397 = 7

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 21,391 (gap of 6)
  • Next prime: 21,401 (gap of 4)

Pair status: cousin with 21401, sexy with 21391.

Unicode codepoint
CJK Unified Ideograph-5395
U+5395
Other letter (Lo)

UTF-8 encoding: E5 8E 95 (3 bytes).

Hex color
#005395
RGB(0, 83, 149)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.83.149.

Address
0.0.83.149
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.83.149

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

Position in π

The digit sequence 21397 first appears in π at position 26,837 of the decimal expansion (the 26,837ordinal-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.