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Number

4,129

4,129 is a prime, odd.

4,129 (four thousand one hundred twenty-nine) is an odd 4-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1021.

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

Interestingness

Properties

Parity
Odd
Digit count
4
Digit sum
16
Digit product
72
Digital root
7
Palindrome
No
Bit width
13 bits
Reversed
9,214
Recamán's sequence
a(28,818) = 4,129
Square (n²)
17,048,641
Cube (n³)
70,393,838,689
Divisor count
2
σ(n) — sum of divisors
4,130
φ(n) — Euler's totient
4,128

Primality

4,129 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 4129
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 4,129)
1 × 4129
First multiples
4,129 · 8,258 (double) · 12,387 · 16,516 · 20,645 · 24,774 · 28,903 · 33,032 · 37,161 · 41,290

Sums & aliquot sequence

As a sum of two squares: 23² + 60²
As consecutive integers: 2,064 + 2,065

Continued fraction of √n

√4,129 = [64; (3, 1, 7, 1, 4, 2, 7, 1, 1, 2, 1, 2, 7, 5, 4, 1, 1, 3, 2, 1, 13, 1, 1, 2, …)]

Representations

In words
four thousand one hundred twenty-nine
Ordinal
4129th
Binary
1000000100001
Octal
10041
Hexadecimal
0x1021
Base64
ECE=
One's complement
61,406 (16-bit)
Scientific notation
4.129 × 10³
As a duration
4,129 s = 1 hour, 8 minutes, 49 seconds
In other bases
ternary (3) 12122221
quaternary (4) 1000201
quinary (5) 113004
senary (6) 31041
septenary (7) 15016
nonary (9) 5587
undecimal (11) 3114
duodecimal (12) 2481
tridecimal (13) 1b58
tetradecimal (14) 170d
pentadecimal (15) 1354

As an angle

4,129° = 11 × 360° + 169°
169° ≈ 2.95 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵δρκθʹ
Mayan (base 20)
𝋪·𝋦·𝋩
Chinese
四千一百二十九
Chinese (financial)
肆仟壹佰貳拾玖
In other modern scripts
Eastern Arabic ٤١٢٩ Devanagari ४१२९ Bengali ৪১২৯ Tamil ௪௧௨௯ Thai ๔๑๒๙ Tibetan ༤༡༢༩ Khmer ៤១២៩ Lao ໔໑໒໙ Burmese ၄၁၂၉

Digit at this position in famous constants

π — Pi (π)
Digit 4,129 = 1
e — Euler's number (e)
Digit 4,129 = 3
φ — Golden ratio (φ)
Digit 4,129 = 0
√2 — Pythagoras's (√2)
Digit 4,129 = 4
ln 2 — Natural log of 2
Digit 4,129 = 2
γ — Euler-Mascheroni (γ)
Digit 4,129 = 9

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 4,127 (gap of 2)
  • Next prime: 4,133 (gap of 4)

Pair status: twin with 4127, cousin with 4133.

Unicode codepoint
Myanmar Letter A
U+1021
Other letter (Lo)

UTF-8 encoding: E1 80 A1 (3 bytes).

Hex color
#001021
RGB(0, 16, 33)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.16.33.

Address
0.0.16.33
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.16.33

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

Musical pitch

Heard as a frequency, 4,129 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): C8 (4186 Hz, -24¢)
  • Scientific pitch (C4 = 256 Hz): C8 (4096 Hz, +14¢)
  • Baroque pitch (A4 = 415 Hz): C♯8 (4182.9 Hz, -22¢)
Position in π

The digit sequence 4129 first appears in π at position 34,129 of the decimal expansion (the 34,129ordinal-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.