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4,138

4,138 is a composite number, even.

This number doesn't have a permanent NumberWiki page yet — what you see below is computed live. Pages get added to the permanent index when they're notable (years, primes, curated, etc.).

4,138 (four thousand one hundred thirty-eight) is an even 4-digit number. It is a composite number with 4 divisors, and factors as 2 × 2,069. Written other ways, in hexadecimal, 0x102A.

Cube-Free Deficient Number Evil Number Recamán's Sequence Semiprime Squarefree

Interestingness

Properties

Parity
Even
Digit count
4
Digit sum
16
Digit product
96
Digital root
7
Palindrome
No
Bit width
13 bits
Reversed
8,314
Recamán's sequence
a(28,800) = 4,138
Square (n²)
17,123,044
Cube (n³)
70,855,156,072
Divisor count
4
σ(n) — sum of divisors
6,210
φ(n) — Euler's totient
2,068
Sum of prime factors
2,071

Primality

Prime factorization: 2 × 2069

Nearest primes: 4,133 (−5) · 4,139 (+1)

Divisors & multiples

All divisors (4)
1 · 2 · 2069 (half) · 4138
Aliquot sum (sum of proper divisors): 2,072
Factor pairs (a × b = 4,138)
1 × 4138
2 × 2069
First multiples
4,138 · 8,276 (double) · 12,414 · 16,552 · 20,690 · 24,828 · 28,966 · 33,104 · 37,242 · 41,380

Sums & aliquot sequence

As a sum of two squares: 13² + 63²
As consecutive integers: 1,033 + 1,034 + 1,035 + 1,036
Aliquot sequence: 4,138 2,072 2,488 2,192 2,086 1,514 760 1,040 1,564 1,460 1,648 1,576 1,394 874 566 286 218 — unresolved within range

Continued fraction of √n

√4,138 = [64; (3, 18, 21, 2, 1, 1, 2, 1, 2, 2, 1, 13, 1, 1, 2, 4, 1, 1, 4, 2, 1, 1, 13, 1, …)]

Period length 35 — the block in parentheses repeats forever.

Representations

In words
four thousand one hundred thirty-eight
Ordinal
4138th
Binary
1000000101010
Octal
10052
Hexadecimal
0x102A
Base64
ECo=
One's complement
61,397 (16-bit)
Scientific notation
4.138 × 10³
As a duration
4,138 s = 1 hour, 8 minutes, 58 seconds
In other bases
ternary (3) 12200021
quaternary (4) 1000222
quinary (5) 113023
senary (6) 31054
septenary (7) 15031
nonary (9) 5607
undecimal (11) 3122
duodecimal (12) 248a
tridecimal (13) 1b64
tetradecimal (14) 1718
pentadecimal (15) 135d

As an angle

4,138° = 11 × 360° + 178°
178° ≈ 3.107 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵δρληʹ
Mayan (base 20)
𝋪·𝋦·𝋲
Chinese
四千一百三十八
Chinese (financial)
肆仟壹佰參拾捌
In other modern scripts
Eastern Arabic ٤١٣٨ Devanagari ४१३८ Bengali ৪১৩৮ Tamil ௪௧௩௮ Thai ๔๑๓๘ Tibetan ༤༡༣༨ Khmer ៤១៣៨ Lao ໔໑໓໘ Burmese ၄၁၃၈

Digit at this position in famous constants

π — Pi (π)
Digit 4,138 = 6
e — Euler's number (e)
Digit 4,138 = 4
φ — Golden ratio (φ)
Digit 4,138 = 2
√2 — Pythagoras's (√2)
Digit 4,138 = 7
ln 2 — Natural log of 2
Digit 4,138 = 7
γ — Euler-Mascheroni (γ)
Digit 4,138 = 4

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 4138, here are decompositions:

  • 5 + 4133 = 4138
  • 11 + 4127 = 4138
  • 47 + 4091 = 4138
  • 59 + 4079 = 4138
  • 89 + 4049 = 4138
  • 131 + 4007 = 4138
  • 137 + 4001 = 4138
  • 149 + 3989 = 4138

Showing the first eight; more decompositions exist.

Unicode codepoint
Myanmar Letter Au
U+102A
Other letter (Lo)

UTF-8 encoding: E1 80 AA (3 bytes).

Hex color
#00102A
RGB(0, 16, 42)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.16.42.

Address
0.0.16.42
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.16.42

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

Musical pitch

Heard as a frequency, 4,138 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): C8 (4186 Hz, -20¢)
  • Scientific pitch (C4 = 256 Hz): C8 (4096 Hz, +18¢)
  • Baroque pitch (A4 = 415 Hz): C♯8 (4182.9 Hz, -19¢)
Position in π

The digit sequence 4138 first appears in π at position 1,075 of the decimal expansion (the 1,075ordinal-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