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Number

13,417

13,417 is a prime, odd.

13,417 (thirteen thousand four hundred seventeen) is an odd 5-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x3469.

Arithmetic Number Cousin Prime Cube-Free Deficient Number Odious Number Pernicious Number Prime Pythagorean Prime Recamán's Sequence Self Number Sexy Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
5
Digit sum
16
Digit product
84
Digital root
7
Palindrome
No
Bit width
14 bits
Reversed
71,431
Recamán's sequence
a(47,441) = 13,417
Square (n²)
180,015,889
Cube (n³)
2,415,273,182,713
Divisor count
2
σ(n) — sum of divisors
13,418
φ(n) — Euler's totient
13,416

Primality

13,417 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 13417
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 13,417)
1 × 13417
First multiples
13,417 · 26,834 (double) · 40,251 · 53,668 · 67,085 · 80,502 · 93,919 · 107,336 · 120,753 · 134,170

Sums & aliquot sequence

As a sum of two squares: 51² + 104²
As consecutive integers: 6,708 + 6,709

Continued fraction of √n

√13,417 = [115; (1, 4, 1, 16, 1, 76, 3, 1, 1, 1, 1, 5, 3, 25, 2, 2, 1, 6, 1, 1, 9, 8, 2, 9, …)]

Representations

In words
thirteen thousand four hundred seventeen
Ordinal
13417th
Binary
11010001101001
Octal
32151
Hexadecimal
0x3469
Base64
NGk=
One's complement
52,118 (16-bit)
Scientific notation
1.3417 × 10⁴
As a duration
13,417 s = 3 hours, 43 minutes, 37 seconds
In other bases
ternary (3) 200101221
quaternary (4) 3101221
quinary (5) 412132
senary (6) 142041
septenary (7) 54055
nonary (9) 20357
undecimal (11) a098
duodecimal (12) 7921
tridecimal (13) 6151
tetradecimal (14) 4c65
pentadecimal (15) 3e97

As an angle

13,417° = 37 × 360° + 97°
97° ≈ 1.693 rad
Compass bearing: E (east)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ιγυιζʹ
Mayan (base 20)
𝋡·𝋭·𝋪·𝋱
Chinese
一萬三千四百一十七
Chinese (financial)
壹萬參仟肆佰壹拾柒
In other modern scripts
Eastern Arabic ١٣٤١٧ Devanagari १३४१७ Bengali ১৩৪১৭ Tamil ௧௩௪௧௭ Thai ๑๓๔๑๗ Tibetan ༡༣༤༡༧ Khmer ១៣៤១៧ Lao ໑໓໔໑໗ Burmese ၁၃၄၁၇

Digit at this position in famous constants

π — Pi (π)
Digit 13,417 = 3
e — Euler's number (e)
Digit 13,417 = 9
φ — Golden ratio (φ)
Digit 13,417 = 8
√2 — Pythagoras's (√2)
Digit 13,417 = 1
ln 2 — Natural log of 2
Digit 13,417 = 5
γ — Euler-Mascheroni (γ)
Digit 13,417 = 2

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 13,411 (gap of 6)
  • Next prime: 13,421 (gap of 4)

Pair status: cousin with 13421, sexy with 13411.

Unicode codepoint
CJK Unified Ideograph-3469
U+3469
Other letter (Lo)

UTF-8 encoding: E3 91 A9 (3 bytes).

Hex color
#003469
RGB(0, 52, 105)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.52.105.

Address
0.0.52.105
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.52.105

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

Musical pitch

Heard as a frequency, 13,417 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): G♯9 (13289.8 Hz, +16¢)
  • Scientific pitch (C4 = 256 Hz): A9 (13777.2 Hz, -46¢ — about midway to G♯9)
  • Baroque pitch (A4 = 415 Hz): A9 (13280 Hz, +18¢)
Position in π

The digit sequence 13417 first appears in π at position 92,914 of the decimal expansion (the 92,914ordinal-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.

Related reading

  • Prime numbers — The building blocks of arithmetic: what primes are, why they matter, and how we find them.
  • Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.