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Number

5,351

5,351 is a prime, odd.

5,351 (five thousand three hundred fifty-one) is an odd 4-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x14E7.

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

Interestingness

Properties

Parity
Odd
Digit count
4
Digit sum
14
Digit product
75
Digital root
5
Palindrome
No
Bit width
13 bits
Reversed
1,535
Recamán's sequence
a(4,198) = 5,351
Square (n²)
28,633,201
Cube (n³)
153,216,258,551
Divisor count
2
σ(n) — sum of divisors
5,352
φ(n) — Euler's totient
5,350

Primality

5,351 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 5351
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 5,351)
1 × 5351
First multiples
5,351 · 10,702 (double) · 16,053 · 21,404 · 26,755 · 32,106 · 37,457 · 42,808 · 48,159 · 53,510

Sums & aliquot sequence

As consecutive integers: 2,675 + 2,676

Continued fraction of √n

√5,351 = [73; (6, 1, 1, 1, 4, 14, 2, 2, 2, 3, 1, 7, 1, 4, 1, 28, 2, 3, 13, 73, 13, 3, 2, 28, …)]

Period length 40 — the block in parentheses repeats forever.

Representations

In words
five thousand three hundred fifty-one
Ordinal
5351st
Binary
1010011100111
Octal
12347
Hexadecimal
0x14E7
Base64
FOc=
One's complement
60,184 (16-bit)
Scientific notation
5.351 × 10³
As a duration
5,351 s = 1 hour, 29 minutes, 11 seconds
In other bases
ternary (3) 21100012
quaternary (4) 1103213
quinary (5) 132401
senary (6) 40435
septenary (7) 21413
nonary (9) 7305
undecimal (11) 4025
duodecimal (12) 311b
tridecimal (13) 2588
tetradecimal (14) 1d43
pentadecimal (15) 18bb

As an angle

5,351° = 14 × 360° + 311°
311° ≈ 5.428 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹
Egyptian hieroglyphic
𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓏺
Greek (Milesian)
͵ετναʹ
Mayan (base 20)
𝋭·𝋧·𝋫
Chinese
五千三百五十一
Chinese (financial)
伍仟參佰伍拾壹
In other modern scripts
Eastern Arabic ٥٣٥١ Devanagari ५३५१ Bengali ৫৩৫১ Tamil ௫௩௫௧ Thai ๕๓๕๑ Tibetan ༥༣༥༡ Khmer ៥៣៥១ Lao ໕໓໕໑ Burmese ၅၃၅၁

Digit at this position in famous constants

π — Pi (π)
Digit 5,351 = 5
e — Euler's number (e)
Digit 5,351 = 8
φ — Golden ratio (φ)
Digit 5,351 = 6
√2 — Pythagoras's (√2)
Digit 5,351 = 2
ln 2 — Natural log of 2
Digit 5,351 = 7
γ — Euler-Mascheroni (γ)
Digit 5,351 = 8

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 5,347 (gap of 4)
  • Next prime: 5,381 (gap of 30)

Pair status: cousin with 5347.

Unicode codepoint
Canadian Syllabics West-Cree Lwa
U+14E7
Other letter (Lo)

UTF-8 encoding: E1 93 A7 (3 bytes).

Hex color
#0014E7
RGB(0, 20, 231)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.20.231.

Address
0.0.20.231
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.20.231

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

Musical pitch

Heard as a frequency, 5,351 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): E8 (5274 Hz, +25¢)
  • Scientific pitch (C4 = 256 Hz): F8 (5467.5 Hz, -37¢)
  • Baroque pitch (A4 = 415 Hz): F8 (5270.2 Hz, +26¢)
Position in π

The digit sequence 5351 first appears in π at position 11,531 of the decimal expansion (the 11,531ordinal-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.

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.