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181,001

181,001 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.).

181,001 (one hundred eighty-one thousand one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x2C309.

Arithmetic Number Chen Prime Cube-Free Deficient Number Flippable Odious Number Pernicious Number Prime Pythagorean Prime Recamán's Sequence Sophie Germain Prime Squarefree Twin Prime

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
11
Digit product
0
Digital root
2
Palindrome
No
Bit width
18 bits
Reversed
100,181
Flips to (rotate 180°)
100,181
Recamán's sequence
a(182,746) = 181,001
Square (n²)
32,761,362,001
Cube (n³)
5,929,839,283,543,001
Divisor count
2
σ(n) — sum of divisors
181,002
φ(n) — Euler's totient
181,000

Primality

181,001 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 181001
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 181,001)
1 × 181001
First multiples
181,001 · 362,002 (double) · 543,003 · 724,004 · 905,005 · 1,086,006 · 1,267,007 · 1,448,008 · 1,629,009 · 1,810,010

Sums & aliquot sequence

As a sum of two squares: 35² + 424²
As consecutive integers: 90,500 + 90,501

Continued fraction of √n

√181,001 = [425; (2, 3, 1, 4, 1, 1, 5, 1, 2, 2, 3, 1, 1, 7, 4, 8, 5, 2, 10, 5, 1, 1, 5, 1, …)]

Representations

In words
one hundred eighty-one thousand one
Ordinal
181001st
Binary
101100001100001001
Octal
541411
Hexadecimal
0x2C309
Base64
AsMJ
One's complement
4,294,786,294 (32-bit)
Scientific notation
1.81001 × 10⁵
As a duration
181,001 s = 2 days, 2 hours, 16 minutes, 41 seconds
In other bases
ternary (3) 100012021202
quaternary (4) 230030021
quinary (5) 21243001
senary (6) 3513545
septenary (7) 1352462
nonary (9) 305252
undecimal (11) 113a97
duodecimal (12) 888b5
tridecimal (13) 64502
tetradecimal (14) 49d69
pentadecimal (15) 3896b

As an angle

181,001° = 502 × 360° + 281°
281° ≈ 4.904 rad
Compass bearing: W (west)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒌋 𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓏺
Greek (Milesian)
͵ρπααʹ
Chinese
一十八萬一千零一
Chinese (financial)
壹拾捌萬壹仟零壹
In other modern scripts
Eastern Arabic ١٨١٠٠١ Devanagari १८१००१ Bengali ১৮১০০১ Tamil ௧௮௧௦௦௧ Thai ๑๘๑๐๐๑ Tibetan ༡༨༡༠༠༡ Khmer ១៨១០០១ Lao ໑໘໑໐໐໑ Burmese ၁၈၁၀၀၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 181003.

Unicode codepoint
𬌉
CJK Unified Ideograph-2C309
U+2C309
Other letter (Lo)

UTF-8 encoding: F0 AC 8C 89 (4 bytes).

Hex color
#02C309
RGB(2, 195, 9)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.195.9.

Address
0.2.195.9
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.195.9

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 181,001 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 181001 first appears in π at position 367,245 of the decimal expansion (the 367,245ordinal-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.