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Number

5,939

5,939 is a prime, odd.

5,939 (five thousand nine hundred thirty-nine) is an odd 4-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1733.

Arithmetic Number Chen Prime Cube-Free Deficient Number Evil Number Prime Recamán's Sequence Right-Truncatable Prime Safe Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
4
Digit sum
26
Digit product
1,215
Digital root
8
Palindrome
No
Bit width
13 bits
Reversed
9,395
Recamán's sequence
a(12,885) = 5,939
Square (n²)
35,271,721
Cube (n³)
209,478,751,019
Divisor count
2
σ(n) — sum of divisors
5,940
φ(n) — Euler's totient
5,938

Primality

5,939 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 5939
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 5,939)
1 × 5939
First multiples
5,939 · 11,878 (double) · 17,817 · 23,756 · 29,695 · 35,634 · 41,573 · 47,512 · 53,451 · 59,390

Sums & aliquot sequence

As consecutive integers: 2,969 + 2,970

Continued fraction of √n

√5,939 = [77; (15, 2, 2, 5, 1, 3, 4, 1, 2, 2, 7, 1, 2, 4, 1, 30, 77, 30, 1, 4, 2, 1, 7, 2, …)]

Period length 34 — the block in parentheses repeats forever.

Representations

In words
five thousand nine hundred thirty-nine
Ordinal
5939th
Binary
1011100110011
Octal
13463
Hexadecimal
0x1733
Base64
FzM=
One's complement
59,596 (16-bit)
Scientific notation
5.939 × 10³
As a duration
5,939 s = 1 hour, 38 minutes, 59 seconds
In other bases
ternary (3) 22010222
quaternary (4) 1130303
quinary (5) 142224
senary (6) 43255
septenary (7) 23213
nonary (9) 8128
undecimal (11) 450a
duodecimal (12) 352b
tridecimal (13) 291b
tetradecimal (14) 2243
pentadecimal (15) 1b5e

As an angle

5,939° = 16 × 360° + 179°
179° ≈ 3.124 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵εϡλθʹ
Mayan (base 20)
𝋮·𝋰·𝋳
Chinese
五千九百三十九
Chinese (financial)
伍仟玖佰參拾玖
In other modern scripts
Eastern Arabic ٥٩٣٩ Devanagari ५९३९ Bengali ৫৯৩৯ Tamil ௫௯௩௯ Thai ๕๙๓๙ Tibetan ༥༩༣༩ Khmer ៥៩៣៩ Lao ໕໙໓໙ Burmese ၅၉၃၉

Digit at this position in famous constants

π — Pi (π)
Digit 5,939 = 3
e — Euler's number (e)
Digit 5,939 = 0
φ — Golden ratio (φ)
Digit 5,939 = 4
√2 — Pythagoras's (√2)
Digit 5,939 = 5
ln 2 — Natural log of 2
Digit 5,939 = 7
γ — Euler-Mascheroni (γ)
Digit 5,939 = 5

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 5,927 (gap of 12)
  • Next prime: 5,953 (gap of 14)
Unicode codepoint
Hanunoo Vowel Sign U
U+1733
Non-spacing mark (Mn)

UTF-8 encoding: E1 9C B3 (3 bytes).

Hex color
#001733
RGB(0, 23, 51)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.23.51.

Address
0.0.23.51
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.23.51

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

Musical pitch

Heard as a frequency, 5,939 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): F♯8 (5919.9 Hz, +6¢)
  • Scientific pitch (C4 = 256 Hz): F♯8 (5792.6 Hz, +43¢)
  • Baroque pitch (A4 = 415 Hz): G8 (5915.6 Hz, +7¢)
Position in π

The digit sequence 5939 first appears in π at position 17,720 of the decimal expansion (the 17,720ordinal-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.