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Number

13,997

13,997 is a prime, odd.

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

Properties

Parity
Odd
Digit count
5
Digit sum
29
Digit product
1,701
Digital root
2
Palindrome
No
Bit width
14 bits
Reversed
79,931
Recamán's sequence
a(20,722) = 13,997
Square (n²)
195,916,009
Cube (n³)
2,742,236,377,973
Divisor count
2
σ(n) — sum of divisors
13,998
φ(n) — Euler's totient
13,996

Primality

13,997 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 13997
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 13,997)
1 × 13997
First multiples
13,997 · 27,994 (double) · 41,991 · 55,988 · 69,985 · 83,982 · 97,979 · 111,976 · 125,973 · 139,970

Sums & aliquot sequence

As a sum of two squares: 46² + 109²
As consecutive integers: 6,998 + 6,999

Representations

In words
thirteen thousand nine hundred ninety-seven
Ordinal
13997th
Binary
11011010101101
Octal
33255
Hexadecimal
0x36AD
Base64
Nq0=
One's complement
51,538 (16-bit)
In other bases
ternary (3) 201012102
quaternary (4) 3122231
quinary (5) 421442
senary (6) 144445
septenary (7) 55544
nonary (9) 21172
undecimal (11) a575
duodecimal (12) 8125
tridecimal (13) 64a9
tetradecimal (14) 515b
pentadecimal (15) 4232

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ιγϡϟζʹ
Mayan (base 20)
𝋡·𝋮·𝋳·𝋱
Chinese
一萬三千九百九十七
Chinese (financial)
壹萬參仟玖佰玖拾柒
In other modern scripts
Eastern Arabic ١٣٩٩٧ Devanagari १३९९७ Bengali ১৩৯৯৭ Tamil ௧௩௯௯௭ Thai ๑๓๙๙๗ Tibetan ༡༣༩༩༧ Khmer ១៣៩៩៧ Lao ໑໓໙໙໗ Burmese ၁၃၉၉၇

Digit at this position in famous constants

π — Pi (π)
Digit 13,997 = 7
e — Euler's number (e)
Digit 13,997 = 6
φ — Golden ratio (φ)
Digit 13,997 = 0
√2 — Pythagoras's (√2)
Digit 13,997 = 1
ln 2 — Natural log of 2
Digit 13,997 = 6
γ — Euler-Mascheroni (γ)
Digit 13,997 = 2

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 13,967 (gap of 30)
  • Next prime: 13,999 (gap of 2)

Pair status: twin with 13999.

Unicode codepoint
CJK Unified Ideograph-36Ad
U+36AD
Other letter (Lo)

UTF-8 encoding: E3 9A AD (3 bytes).

Hex color
#0036AD
RGB(0, 54, 173)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.54.173.

Address
0.0.54.173
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.54.173

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

Position in π

The digit sequence 13997 first appears in π at position 315,368 of the decimal expansion (the 315,368ordinal-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.