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4,134

4,134 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.).

4,134 (four thousand one hundred thirty-four) is an even 4-digit number. It is a composite number with 16 divisors, and factors as 2 × 3 × 13 × 53. Its proper divisors sum to 4,938, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1026.

Abundant Number Arithmetic Number Cube-Free Evil Number Practical Number Recamán's Sequence Semiperfect Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
4
Digit sum
12
Digit product
48
Digital root
3
Palindrome
No
Bit width
13 bits
Reversed
4,314
Recamán's sequence
a(28,808) = 4,134
Square (n²)
17,089,956
Cube (n³)
70,649,878,104
Divisor count
16
σ(n) — sum of divisors
9,072
φ(n) — Euler's totient
1,248
Sum of prime factors
71

Primality

Prime factorization: 2 × 3 × 13 × 53

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

Divisors & multiples

All divisors (16)
1 · 2 · 3 · 6 · 13 · 26 · 39 · 53 · 78 · 106 · 159 · 318 · 689 · 1378 · 2067 (half) · 4134
Aliquot sum (sum of proper divisors): 4,938
Factor pairs (a × b = 4,134)
1 × 4134
2 × 2067
3 × 1378
6 × 689
13 × 318
26 × 159
39 × 106
53 × 78
First multiples
4,134 · 8,268 (double) · 12,402 · 16,536 · 20,670 · 24,804 · 28,938 · 33,072 · 37,206 · 41,340

Sums & aliquot sequence

As consecutive integers: 1,377 + 1,378 + 1,379 1,032 + 1,033 + 1,034 + 1,035 339 + 340 + … + 350 312 + 313 + … + 324
Aliquot sequence: 4,134 4,938 4,950 9,558 12,222 18,354 27,726 27,738 35,910 79,290 127,098 161,190 274,410 439,290 732,870 1,288,890 2,062,458 — unresolved within range

Continued fraction of √n

√4,134 = [64; (3, 2, 1, 1, 1, 12, 4, 2, 1, 4, 2, 4, 1, 2, 4, 12, 1, 1, 1, 2, 3, 128)]

Period length 22 — the block in parentheses repeats forever.

Representations

In words
four thousand one hundred thirty-four
Ordinal
4134th
Binary
1000000100110
Octal
10046
Hexadecimal
0x1026
Base64
ECY=
One's complement
61,401 (16-bit)
Scientific notation
4.134 × 10³
As a duration
4,134 s = 1 hour, 8 minutes, 54 seconds
In other bases
ternary (3) 12200010
quaternary (4) 1000212
quinary (5) 113014
senary (6) 31050
septenary (7) 15024
nonary (9) 5603
undecimal (11) 3119
duodecimal (12) 2486
tridecimal (13) 1b60
tetradecimal (14) 1714
pentadecimal (15) 1359

As an angle

4,134° = 11 × 360° + 174°
174° ≈ 3.037 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵δρλδʹ
Mayan (base 20)
𝋪·𝋦·𝋮
Chinese
四千一百三十四
Chinese (financial)
肆仟壹佰參拾肆
In other modern scripts
Eastern Arabic ٤١٣٤ Devanagari ४१३४ Bengali ৪১৩৪ Tamil ௪௧௩௪ Thai ๔๑๓๔ Tibetan ༤༡༣༤ Khmer ៤១៣៤ Lao ໔໑໓໔ Burmese ၄၁၃၄

Digit at this position in famous constants

π — Pi (π)
Digit 4,134 = 3
e — Euler's number (e)
Digit 4,134 = 5
φ — Golden ratio (φ)
Digit 4,134 = 1
√2 — Pythagoras's (√2)
Digit 4,134 = 6
ln 2 — Natural log of 2
Digit 4,134 = 9
γ — Euler-Mascheroni (γ)
Digit 4,134 = 0

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 4134, here are decompositions:

  • 5 + 4129 = 4134
  • 7 + 4127 = 4134
  • 23 + 4111 = 4134
  • 41 + 4093 = 4134
  • 43 + 4091 = 4134
  • 61 + 4073 = 4134
  • 83 + 4051 = 4134
  • 107 + 4027 = 4134

Showing the first eight; more decompositions exist.

Unicode codepoint
Myanmar Letter Uu
U+1026
Other letter (Lo)

UTF-8 encoding: E1 80 A6 (3 bytes).

Hex color
#001026
RGB(0, 16, 38)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.16.38.

Address
0.0.16.38
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.16.38

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

Musical pitch

Heard as a frequency, 4,134 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): C8 (4186 Hz, -22¢)
  • Scientific pitch (C4 = 256 Hz): C8 (4096 Hz, +16¢)
  • Baroque pitch (A4 = 415 Hz): C♯8 (4182.9 Hz, -20¢)
Position in π

The digit sequence 4134 first appears in π at position 5,279 of the decimal expansion (the 5,279ordinal-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

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.