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Number

10,141

10,141 is a prime, odd.

10,141 (ten thousand one hundred forty-one) is an odd 5-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x279D.

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

Interestingness

Properties

Parity
Odd
Digit count
5
Digit sum
7
Digit product
0
Digital root
7
Palindrome
No
Bit width
14 bits
Reversed
14,101
Recamán's sequence
a(5,541) = 10,141
Square (n²)
102,839,881
Cube (n³)
1,042,899,233,221
Divisor count
2
σ(n) — sum of divisors
10,142
φ(n) — Euler's totient
10,140

Primality

10,141 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 10141
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 10,141)
1 × 10141
First multiples
10,141 · 20,282 (double) · 30,423 · 40,564 · 50,705 · 60,846 · 70,987 · 81,128 · 91,269 · 101,410

Sums & aliquot sequence

As a sum of two squares: 54² + 85²
As consecutive integers: 5,070 + 5,071

Continued fraction of √n

√10,141 = [100; (1, 2, 2, 1, 3, 4, 66, 1, 9, 11, 1, 2, 1, 21, 1, 1, 1, 2, 1, 2, 3, 1, 1, 2, …)]

Representations

In words
ten thousand one hundred forty-one
Ordinal
10141st
Binary
10011110011101
Octal
23635
Hexadecimal
0x279D
Base64
J50=
One's complement
55,394 (16-bit)
Scientific notation
1.0141 × 10⁴
As a duration
10,141 s = 2 hours, 49 minutes, 1 second
In other bases
ternary (3) 111220121
quaternary (4) 2132131
quinary (5) 311031
senary (6) 114541
septenary (7) 41365
nonary (9) 14817
undecimal (11) 768a
duodecimal (12) 5a51
tridecimal (13) 4801
tetradecimal (14) 39a5
pentadecimal (15) 3011

As an angle

10,141° = 28 × 360° + 61°
61° ≈ 1.065 rad
Compass bearing: ENE (east-northeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹
Egyptian hieroglyphic
𓂍𓍢𓎆𓎆𓎆𓎆𓏺
Greek (Milesian)
͵ιρμαʹ
Mayan (base 20)
𝋡·𝋥·𝋧·𝋡
Chinese
一萬零一百四十一
Chinese (financial)
壹萬零壹佰肆拾壹
In other modern scripts
Eastern Arabic ١٠١٤١ Devanagari १०१४१ Bengali ১০১৪১ Tamil ௧௦௧௪௧ Thai ๑๐๑๔๑ Tibetan ༡༠༡༤༡ Khmer ១០១៤១ Lao ໑໐໑໔໑ Burmese ၁၀၁၄၁

Digit at this position in famous constants

π — Pi (π)
Digit 10,141 = 9
e — Euler's number (e)
Digit 10,141 = 5
φ — Golden ratio (φ)
Digit 10,141 = 8
√2 — Pythagoras's (√2)
Digit 10,141 = 6
ln 2 — Natural log of 2
Digit 10,141 = 0
γ — Euler-Mascheroni (γ)
Digit 10,141 = 5

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 10,139 (gap of 2)
  • Next prime: 10,151 (gap of 10)

Pair status: twin with 10139.

Unicode codepoint
Triangle-Headed Rightwards Arrow
U+279D
Other symbol (So)

UTF-8 encoding: E2 9E 9D (3 bytes).

Hex color
#00279D
RGB(0, 39, 157)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.39.157.

Address
0.0.39.157
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.39.157

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

Musical pitch

Heard as a frequency, 10,141 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): D♯9 (9956.1 Hz, +32¢)
  • Scientific pitch (C4 = 256 Hz): E9 (10321.3 Hz, -31¢)
  • Baroque pitch (A4 = 415 Hz): E9 (9948.8 Hz, +33¢)
Position in π

The digit sequence 10141 first appears in π at position 79,153 of the decimal expansion (the 79,153ordinal-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.
  • Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.