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114,001

114,001 is a prime, odd.

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.).

114,001 (one hundred fourteen thousand one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1BD51.

Arithmetic Number Balanced Prime Cube-Free Deficient Number Emirp Evil Number Happy Number Prime Pythagorean Prime Recamán's Sequence Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
7
Digit product
0
Digital root
7
Palindrome
No
Bit width
17 bits
Reversed
100,411
Recamán's sequence
a(56,789) = 114,001
Square (n²)
12,996,228,001
Cube (n³)
1,481,582,988,342,001
Divisor count
2
σ(n) — sum of divisors
114,002
φ(n) — Euler's totient
114,000

Primality

114,001 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 114001
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 114,001)
1 × 114001
First multiples
114,001 · 228,002 (double) · 342,003 · 456,004 · 570,005 · 684,006 · 798,007 · 912,008 · 1,026,009 · 1,140,010

Sums & aliquot sequence

As a sum of two squares: 95² + 324²
As consecutive integers: 57,000 + 57,001

Continued fraction of √n

√114,001 = [337; (1, 1, 1, 3, 1, 1, 4, 7, 1, 2, 1, 1, 1, 3, 3, 5, 3, 9, 2, 8, 1, 3, 2, 6, …)]

Representations

In words
one hundred fourteen thousand one
Ordinal
114001st
Binary
11011110101010001
Octal
336521
Hexadecimal
0x1BD51
Base64
Ab1R
One's complement
4,294,853,294 (32-bit)
Scientific notation
1.14001 × 10⁵
As a duration
114,001 s = 1 day, 7 hours, 40 minutes, 1 second
In other bases
ternary (3) 12210101021
quaternary (4) 123311101
quinary (5) 12122001
senary (6) 2235441
septenary (7) 653236
nonary (9) 183337
undecimal (11) 78718
duodecimal (12) 55b81
tridecimal (13) 3cb74
tetradecimal (14) 2d78d
pentadecimal (15) 23ba1

As an angle

114,001° = 316 × 360° + 241°
241° ≈ 4.206 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒌋 𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓆼𓏺
Greek (Milesian)
͵ριδαʹ
Mayan (base 20)
𝋮·𝋥·𝋠·𝋡
Chinese
一十一萬四千零一
Chinese (financial)
壹拾壹萬肆仟零壹
In other modern scripts
Eastern Arabic ١١٤٠٠١ Devanagari ११४००१ Bengali ১১৪০০১ Tamil ௧௧௪௦௦௧ Thai ๑๑๔๐๐๑ Tibetan ༡༡༤༠༠༡ Khmer ១១៤០០១ Lao ໑໑໔໐໐໑ Burmese ၁၁၄၀၀၁

Also seen as

Prime neighborhood

Adjacent primes:

Hex color
#01BD51
RGB(1, 189, 81)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.189.81.

Address
0.1.189.81
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.189.81

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

Possible US patent number

This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 114,001 and was likely granted around 1871.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Position in π

The digit sequence 114001 first appears in π at position 57,503 of the decimal expansion (the 57,503ordinal-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.