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Number

5,237

5,237 is a prime, odd.

5,237 (five thousand two hundred thirty-seven) is an odd 4-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1475.

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

Interestingness

Properties

Parity
Odd
Digit count
4
Digit sum
17
Digit product
210
Digital root
8
Palindrome
No
Bit width
13 bits
Reversed
7,325
Recamán's sequence
a(27,962) = 5,237
Square (n²)
27,426,169
Cube (n³)
143,630,847,053
Divisor count
2
σ(n) — sum of divisors
5,238
φ(n) — Euler's totient
5,236

Primality

5,237 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 5237
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 5,237)
1 × 5237
First multiples
5,237 · 10,474 (double) · 15,711 · 20,948 · 26,185 · 31,422 · 36,659 · 41,896 · 47,133 · 52,370

Sums & aliquot sequence

As a sum of two squares: 14² + 71²
As consecutive integers: 2,618 + 2,619

Continued fraction of √n

√5,237 = [72; (2, 1, 2, 1, 1, 1, 1, 1, 4, 1, 1, 4, 1, 1, 1, 1, 1, 2, 1, 2, 144)]

Period length 21 — the block in parentheses repeats forever.

Representations

In words
five thousand two hundred thirty-seven
Ordinal
5237th
Binary
1010001110101
Octal
12165
Hexadecimal
0x1475
Base64
FHU=
One's complement
60,298 (16-bit)
Scientific notation
5.237 × 10³
As a duration
5,237 s = 1 hour, 27 minutes, 17 seconds
In other bases
ternary (3) 21011222
quaternary (4) 1101311
quinary (5) 131422
senary (6) 40125
septenary (7) 21161
nonary (9) 7158
undecimal (11) 3a31
duodecimal (12) 3045
tridecimal (13) 24cb
tetradecimal (14) 1ca1
pentadecimal (15) 1842

As an angle

5,237° = 14 × 360° + 197°
197° ≈ 3.438 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵εσλζʹ
Mayan (base 20)
𝋭·𝋡·𝋱
Chinese
五千二百三十七
Chinese (financial)
伍仟貳佰參拾柒
In other modern scripts
Eastern Arabic ٥٢٣٧ Devanagari ५२३७ Bengali ৫২৩৭ Tamil ௫௨௩௭ Thai ๕๒๓๗ Tibetan ༥༢༣༧ Khmer ៥២៣៧ Lao ໕໒໓໗ Burmese ၅၂၃၇

Digit at this position in famous constants

π — Pi (π)
Digit 5,237 = 6
e — Euler's number (e)
Digit 5,237 = 8
φ — Golden ratio (φ)
Digit 5,237 = 5
√2 — Pythagoras's (√2)
Digit 5,237 = 4
ln 2 — Natural log of 2
Digit 5,237 = 6
γ — Euler-Mascheroni (γ)
Digit 5,237 = 8

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 5,233 (gap of 4)
  • Next prime: 5,261 (gap of 24)

Pair status: cousin with 5233.

Unicode codepoint
Canadian Syllabics West-Cree Kwe
U+1475
Other letter (Lo)

UTF-8 encoding: E1 91 B5 (3 bytes).

Hex color
#001475
RGB(0, 20, 117)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.20.117.

Address
0.0.20.117
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.20.117

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

Musical pitch

Heard as a frequency, 5,237 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): E8 (5274 Hz, -12¢)
  • Scientific pitch (C4 = 256 Hz): E8 (5160.6 Hz, +25¢)
  • Baroque pitch (A4 = 415 Hz): F8 (5270.2 Hz, -11¢)
Position in π

The digit sequence 5237 first appears in π at position 2,689 of the decimal expansion (the 2,689ordinal-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.
  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.