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172,993

172,993 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.).

172,993 (one hundred seventy-two thousand nine hundred ninety-three) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x2A3C1.

Arithmetic Number Balanced Prime Cube-Free Deficient Number Emirp Evil Number Prime Pythagorean Prime Sexy Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
31
Digit product
3,402
Digital root
4
Palindrome
No
Bit width
18 bits
Reversed
399,271
Square (n²)
29,926,578,049
Cube (n³)
5,177,088,516,430,657
Divisor count
2
σ(n) — sum of divisors
172,994
φ(n) — Euler's totient
172,992

Primality

172,993 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 172993
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 172,993)
1 × 172993
First multiples
172,993 · 345,986 (double) · 518,979 · 691,972 · 864,965 · 1,037,958 · 1,210,951 · 1,383,944 · 1,556,937 · 1,729,930

Sums & aliquot sequence

As a sum of two squares: 57² + 412²
As consecutive integers: 86,496 + 86,497

Continued fraction of √n

√172,993 = [415; (1, 12, 4, 1, 6, 1, 33, 1, 3, 1, 2, 1, 2, 7, 16, 5, 1, 2, 1, 1, 43, 4, 1, 5, …)]

Representations

In words
one hundred seventy-two thousand nine hundred ninety-three
Ordinal
172993rd
Binary
101010001111000001
Octal
521701
Hexadecimal
0x2A3C1
Base64
AqPB
One's complement
4,294,794,302 (32-bit)
Scientific notation
1.72993 × 10⁵
As a duration
172,993 s = 2 days, 3 minutes, 13 seconds
In other bases
ternary (3) 22210022011
quaternary (4) 222033001
quinary (5) 21013433
senary (6) 3412521
septenary (7) 1320232
nonary (9) 283264
undecimal (11) 108a77
duodecimal (12) 84141
tridecimal (13) 60982
tetradecimal (14) 47089
pentadecimal (15) 363cd

As an angle

172,993° = 480 × 360° + 193°
193° ≈ 3.368 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹 𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ροβϡϟγʹ
Chinese
一十七萬二千九百九十三
Chinese (financial)
壹拾柒萬貳仟玖佰玖拾參
In other modern scripts
Eastern Arabic ١٧٢٩٩٣ Devanagari १७२९९३ Bengali ১৭২৯৯৩ Tamil ௧௭௨௯௯௩ Thai ๑๗๒๙๙๓ Tibetan ༡༧༢༩༩༣ Khmer ១៧២៩៩៣ Lao ໑໗໒໙໙໓ Burmese ၁၇၂၉၉၃

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 172987, sexy with 172999.

Unicode codepoint
𪏁
CJK Unified Ideograph-2A3C1
U+2A3C1
Other letter (Lo)

UTF-8 encoding: F0 AA 8F 81 (4 bytes).

Hex color
#02A3C1
RGB(2, 163, 193)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.163.193.

Address
0.2.163.193
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.163.193

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 172,993 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.