number.wiki
Number

4,957

4,957 is a prime, odd.

4,957 (four thousand nine hundred fifty-seven) is an odd 4-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x135D.

Arithmetic Number Cube-Free Deficient Number Evil Number Prime Pythagorean Prime Recamán's Sequence Sexy Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
4
Digit sum
25
Digit product
1,260
Digital root
7
Palindrome
No
Bit width
13 bits
Reversed
7,594
Recamán's sequence
a(28,214) = 4,957
Square (n²)
24,571,849
Cube (n³)
121,802,655,493
Divisor count
2
σ(n) — sum of divisors
4,958
φ(n) — Euler's totient
4,956

Primality

4,957 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 4957
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 4,957)
1 × 4957
First multiples
4,957 · 9,914 (double) · 14,871 · 19,828 · 24,785 · 29,742 · 34,699 · 39,656 · 44,613 · 49,570

Sums & aliquot sequence

As a sum of two squares: 14² + 69²
As consecutive integers: 2,478 + 2,479

Continued fraction of √n

√4,957 = [70; (2, 2, 6, 3, 3, 1, 1, 2, 7, 46, 1, 4, 19, 1, 10, 1, 3, 1, 1, 1, 2, 15, 3, 1, …)]

Representations

In words
four thousand nine hundred fifty-seven
Ordinal
4957th
Binary
1001101011101
Octal
11535
Hexadecimal
0x135D
Base64
E10=
One's complement
60,578 (16-bit)
Scientific notation
4.957 × 10³
As a duration
4,957 s = 1 hour, 22 minutes, 37 seconds
In other bases
ternary (3) 20210121
quaternary (4) 1031131
quinary (5) 124312
senary (6) 34541
septenary (7) 20311
nonary (9) 6717
undecimal (11) 37a7
duodecimal (12) 2a51
tridecimal (13) 2344
tetradecimal (14) 1b41
pentadecimal (15) 1707

As an angle

4,957° = 13 × 360° + 277°
277° ≈ 4.835 rad
Compass bearing: W (west)

Historical numeral systems

Babylonian (base 60)
𒁹 𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵δϡνζʹ
Mayan (base 20)
𝋬·𝋧·𝋱
Chinese
四千九百五十七
Chinese (financial)
肆仟玖佰伍拾柒
In other modern scripts
Eastern Arabic ٤٩٥٧ Devanagari ४९५७ Bengali ৪৯৫৭ Tamil ௪௯௫௭ Thai ๔๙๕๗ Tibetan ༤༩༥༧ Khmer ៤៩៥៧ Lao ໔໙໕໗ Burmese ၄၉၅၇

Digit at this position in famous constants

π — Pi (π)
Digit 4,957 = 1
e — Euler's number (e)
Digit 4,957 = 4
φ — Golden ratio (φ)
Digit 4,957 = 1
√2 — Pythagoras's (√2)
Digit 4,957 = 8
ln 2 — Natural log of 2
Digit 4,957 = 9
γ — Euler-Mascheroni (γ)
Digit 4,957 = 9

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 4,951 (gap of 6)
  • Next prime: 4,967 (gap of 10)

Pair status: sexy with 4951.

Unicode codepoint
Ethiopic Combining Gemination And Vowel Length Mark
U+135D
Non-spacing mark (Mn)

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

Hex color
#00135D
RGB(0, 19, 93)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.19.93.

Address
0.0.19.93
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.19.93

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

Musical pitch

Heard as a frequency, 4,957 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): D♯8 (4978 Hz, -7¢)
  • Scientific pitch (C4 = 256 Hz): D♯8 (4871 Hz, +30¢)
  • Baroque pitch (A4 = 415 Hz): E8 (4974.4 Hz, -6¢)
Position in π

The digit sequence 4957 first appears in π at position 3,906 of the decimal expansion (the 3,906ordinal-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.