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184,013

184,013 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.).

184,013 (one hundred eighty-four thousand thirteen) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x2CECD.

Arithmetic Number Cube-Free Deficient Number Emirp Happy Number Odious Number Pernicious Number Prime Pythagorean Prime Recamán's Sequence Sexy Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
17
Digit product
0
Digital root
8
Palindrome
No
Bit width
18 bits
Reversed
310,481
Recamán's sequence
a(176,902) = 184,013
Square (n²)
33,860,784,169
Cube (n³)
6,230,824,477,290,197
Divisor count
2
σ(n) — sum of divisors
184,014
φ(n) — Euler's totient
184,012

Primality

184,013 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 184013
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 184,013)
1 × 184013
First multiples
184,013 · 368,026 (double) · 552,039 · 736,052 · 920,065 · 1,104,078 · 1,288,091 · 1,472,104 · 1,656,117 · 1,840,130

Sums & aliquot sequence

As a sum of two squares: 77² + 422²
As consecutive integers: 92,006 + 92,007

Continued fraction of √n

√184,013 = [428; (1, 29, 1, 1, 1, 3, 1, 3, 1, 1, 2, 4, 2, 2, 19, 11, 11, 19, 2, 2, 4, 2, 1, 1, …)]

Period length 33 — the block in parentheses repeats forever.

Representations

In words
one hundred eighty-four thousand thirteen
Ordinal
184013th
Binary
101100111011001101
Octal
547315
Hexadecimal
0x2CECD
Base64
As7N
One's complement
4,294,783,282 (32-bit)
Scientific notation
1.84013 × 10⁵
As a duration
184,013 s = 2 days, 3 hours, 6 minutes, 53 seconds
In other bases
ternary (3) 100100102022
quaternary (4) 230323031
quinary (5) 21342023
senary (6) 3535525
septenary (7) 1364324
nonary (9) 310368
undecimal (11) 116285
duodecimal (12) 8a5a5
tridecimal (13) 659ab
tetradecimal (14) 4b0bb
pentadecimal (15) 397c8

As an angle

184,013° = 511 × 360° + 53°
53° ≈ 0.925 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒌋𒁹 𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ρπδιγʹ
Chinese
一十八萬四千零一十三
Chinese (financial)
壹拾捌萬肆仟零壹拾參
In other modern scripts
Eastern Arabic ١٨٤٠١٣ Devanagari १८४०१३ Bengali ১৮৪০১৩ Tamil ௧௮௪௦௧௩ Thai ๑๘๔๐๑๓ Tibetan ༡༨༤༠༡༣ Khmer ១៨៤០១៣ Lao ໑໘໔໐໑໓ Burmese ၁၈၄၀၁၃

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 184007.

Unicode codepoint
𬻍
CJK Unified Ideograph-2Cecd
U+2CECD
Other letter (Lo)

UTF-8 encoding: F0 AC BB 8D (4 bytes).

Hex color
#02CECD
RGB(2, 206, 205)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.206.205.

Address
0.2.206.205
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.206.205

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 184,013 and was likely granted around 1875.

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

Position in π

The digit sequence 184013 first appears in π at position 555,529 of the decimal expansion (the 555,529ordinal-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.