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167,413

167,413 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.).

167,413 (one hundred sixty-seven thousand four hundred thirteen) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x28DF5.

Arithmetic Number Cube-Free Deficient Number Emirp Odious Number Pernicious Number Prime Pythagorean Prime Sexy Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
22
Digit product
504
Digital root
4
Palindrome
No
Bit width
18 bits
Reversed
314,761
Square (n²)
28,027,112,569
Cube (n³)
4,692,102,996,513,997
Divisor count
2
σ(n) — sum of divisors
167,414
φ(n) — Euler's totient
167,412

Primality

167,413 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 167413
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 167,413)
1 × 167413
First multiples
167,413 · 334,826 (double) · 502,239 · 669,652 · 837,065 · 1,004,478 · 1,171,891 · 1,339,304 · 1,506,717 · 1,674,130

Sums & aliquot sequence

As a sum of two squares: 42² + 407²
As consecutive integers: 83,706 + 83,707

Continued fraction of √n

√167,413 = [409; (6, 5, 21, 1, 12, 29, 6, 1, 2, 1, 2, 5, 1, 5, 22, 1, 1, 3, 1, 1, 1, 42, 2, 3, …)]

Representations

In words
one hundred sixty-seven thousand four hundred thirteen
Ordinal
167413th
Binary
101000110111110101
Octal
506765
Hexadecimal
0x28DF5
Base64
Ao31
One's complement
4,294,799,882 (32-bit)
Scientific notation
1.67413 × 10⁵
As a duration
167,413 s = 1 day, 22 hours, 30 minutes, 13 seconds
In other bases
ternary (3) 22111122111
quaternary (4) 220313311
quinary (5) 20324123
senary (6) 3331021
septenary (7) 1265041
nonary (9) 274574
undecimal (11) 104864
duodecimal (12) 80a71
tridecimal (13) 5b27c
tetradecimal (14) 45021
pentadecimal (15) 3490d

As an angle

167,413° = 465 × 360° + 13°
13° ≈ 0.227 rad
Compass bearing: NNE (north-northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋 𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ρξζυιγʹ
Chinese
一十六萬七千四百一十三
Chinese (financial)
壹拾陸萬柒仟肆佰壹拾參
In other modern scripts
Eastern Arabic ١٦٧٤١٣ Devanagari १६७४१३ Bengali ১৬৭৪১৩ Tamil ௧௬௭௪௧௩ Thai ๑๖๗๔๑๓ Tibetan ༡༦༧༤༡༣ Khmer ១៦៧៤១៣ Lao ໑໖໗໔໑໓ Burmese ၁၆၇၄၁၃

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 167407.

Unicode codepoint
𨷵
CJK Unified Ideograph-28Df5
U+28DF5
Other letter (Lo)

UTF-8 encoding: F0 A8 B7 B5 (4 bytes).

Hex color
#028DF5
RGB(2, 141, 245)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.141.245.

Address
0.2.141.245
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.141.245

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 167,413 and was likely granted around 1874.

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

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.