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Number

27,997

27,997 is a prime, odd.

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

Properties

Parity
Odd
Digit count
5
Digit sum
34
Digit product
7,938
Digital root
7
Palindrome
No
Bit width
15 bits
Reversed
79,972
Recamán's sequence
a(34,437) = 27,997
Square (n²)
783,832,009
Cube (n³)
21,944,944,755,973
Divisor count
2
σ(n) — sum of divisors
27,998
φ(n) — Euler's totient
27,996

Primality

27,997 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 27997
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 27,997)
1 × 27997
First multiples
27,997 · 55,994 (double) · 83,991 · 111,988 · 139,985 · 167,982 · 195,979 · 223,976 · 251,973 · 279,970

Sums & aliquot sequence

As a sum of two squares: 21² + 166²
As consecutive integers: 13,998 + 13,999

Representations

In words
twenty-seven thousand nine hundred ninety-seven
Ordinal
27997th
Binary
110110101011101
Octal
66535
Hexadecimal
0x6D5D
Base64
bV0=
One's complement
37,538 (16-bit)
In other bases
ternary (3) 1102101221
quaternary (4) 12311131
quinary (5) 1343442
senary (6) 333341
septenary (7) 144424
nonary (9) 42357
undecimal (11) 1a042
duodecimal (12) 14251
tridecimal (13) c988
tetradecimal (14) a2bb
pentadecimal (15) 8467

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵κζϡϟζʹ
Mayan (base 20)
𝋣·𝋩·𝋳·𝋱
Chinese
二萬七千九百九十七
Chinese (financial)
貳萬柒仟玖佰玖拾柒
In other modern scripts
Eastern Arabic ٢٧٩٩٧ Devanagari २७९९७ Bengali ২৭৯৯৭ Tamil ௨௭௯௯௭ Thai ๒๗๙๙๗ Tibetan ༢༧༩༩༧ Khmer ២៧៩៩៧ Lao ໒໗໙໙໗ Burmese ၂၇၉၉၇

Digit at this position in famous constants

π — Pi (π)
Digit 27,997 = 7
e — Euler's number (e)
Digit 27,997 = 1
φ — Golden ratio (φ)
Digit 27,997 = 9
√2 — Pythagoras's (√2)
Digit 27,997 = 2
ln 2 — Natural log of 2
Digit 27,997 = 6
γ — Euler-Mascheroni (γ)
Digit 27,997 = 4

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 27,983 (gap of 14)
  • Next prime: 28,001 (gap of 4)

Pair status: cousin with 28001.

Unicode codepoint
CJK Unified Ideograph-6D5D
U+6D5D
Other letter (Lo)

UTF-8 encoding: E6 B5 9D (3 bytes).

Hex color
#006D5D
RGB(0, 109, 93)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.109.93.

Address
0.0.109.93
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.109.93

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

Position in π

The digit sequence 27997 first appears in π at position 233,891 of the decimal expansion (the 233,891ordinal-suffix:st 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.