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Number

4,139

4,139 is a prime, odd.

4,139 (four thousand one 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, 0x102B.

Arithmetic Number Chen Prime Cube-Free Deficient Number Odious Number Pernicious Number Prime Recamán's Sequence Safe Prime Sexy Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
4
Digit sum
17
Digit product
108
Digital root
8
Palindrome
No
Bit width
13 bits
Reversed
9,314
Recamán's sequence
a(28,798) = 4,139
Square (n²)
17,131,321
Cube (n³)
70,906,537,619
Divisor count
2
σ(n) — sum of divisors
4,140
φ(n) — Euler's totient
4,138

Primality

4,139 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 4139
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 4,139)
1 × 4139
First multiples
4,139 · 8,278 (double) · 12,417 · 16,556 · 20,695 · 24,834 · 28,973 · 33,112 · 37,251 · 41,390

Sums & aliquot sequence

As consecutive integers: 2,069 + 2,070

Continued fraction of √n

√4,139 = [64; (2, 1, 63, 1, 2, 128)]

Period length 6 — the block in parentheses repeats forever.

Representations

In words
four thousand one hundred thirty-nine
Ordinal
4139th
Binary
1000000101011
Octal
10053
Hexadecimal
0x102B
Base64
ECs=
One's complement
61,396 (16-bit)
Scientific notation
4.139 × 10³
As a duration
4,139 s = 1 hour, 8 minutes, 59 seconds
In other bases
ternary (3) 12200022
quaternary (4) 1000223
quinary (5) 113024
senary (6) 31055
septenary (7) 15032
nonary (9) 5608
undecimal (11) 3123
duodecimal (12) 248b
tridecimal (13) 1b65
tetradecimal (14) 1719
pentadecimal (15) 135e

As an angle

4,139° = 11 × 360° + 179°
179° ≈ 3.124 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵δρλθʹ
Mayan (base 20)
𝋪·𝋦·𝋳
Chinese
四千一百三十九
Chinese (financial)
肆仟壹佰參拾玖
In other modern scripts
Eastern Arabic ٤١٣٩ Devanagari ४१३९ Bengali ৪১৩৯ Tamil ௪௧௩௯ Thai ๔๑๓๙ Tibetan ༤༡༣༩ Khmer ៤១៣៩ Lao ໔໑໓໙ Burmese ၄၁၃၉

Digit at this position in famous constants

π — Pi (π)
Digit 4,139 = 5
e — Euler's number (e)
Digit 4,139 = 3
φ — Golden ratio (φ)
Digit 4,139 = 6
√2 — Pythagoras's (√2)
Digit 4,139 = 8
ln 2 — Natural log of 2
Digit 4,139 = 5
γ — Euler-Mascheroni (γ)
Digit 4,139 = 0

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 4,133 (gap of 6)
  • Next prime: 4,153 (gap of 14)

Pair status: sexy with 4133.

Unicode codepoint
Myanmar Vowel Sign Tall Aa
U+102B
Spacing combining mark (Mc)

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

Hex color
#00102B
RGB(0, 16, 43)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.16.43.

Address
0.0.16.43
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.16.43

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

Musical pitch

Heard as a frequency, 4,139 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, -18¢)
Position in π

The digit sequence 4139 first appears in π at position 14,193 of the decimal expansion (the 14,193ordinal-suffix:rd 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.