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173,993

173,993 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.).

173,993 (one hundred seventy-three 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, 0x2A7A9.

Arithmetic Number Cube-Free Deficient Number Evil Number Happy Number Prime Pythagorean Prime Recamán's Sequence Sophie Germain Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
32
Digit product
5,103
Digital root
5
Palindrome
No
Bit width
18 bits
Reversed
399,371
Recamán's sequence
a(189,702) = 173,993
Square (n²)
30,273,564,049
Cube (n³)
5,267,388,229,577,657
Divisor count
2
σ(n) — sum of divisors
173,994
φ(n) — Euler's totient
173,992

Primality

173,993 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 173993
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 173,993)
1 × 173993
First multiples
173,993 · 347,986 (double) · 521,979 · 695,972 · 869,965 · 1,043,958 · 1,217,951 · 1,391,944 · 1,565,937 · 1,739,930

Sums & aliquot sequence

As a sum of two squares: 128² + 397²
As consecutive integers: 86,996 + 86,997

Continued fraction of √n

√173,993 = [417; (8, 48, 1, 18, 2, 2, 1, 2, 5, 1, 3, 3, 1, 3, 104, 64, 6, 8, 2, 3, 3, 3, 2, 2, …)]

Representations

In words
one hundred seventy-three thousand nine hundred ninety-three
Ordinal
173993rd
Binary
101010011110101001
Octal
523651
Hexadecimal
0x2A7A9
Base64
Aqep
One's complement
4,294,793,302 (32-bit)
Scientific notation
1.73993 × 10⁵
As a duration
173,993 s = 2 days, 19 minutes, 53 seconds
In other bases
ternary (3) 22211200012
quaternary (4) 222132221
quinary (5) 21031433
senary (6) 3421305
septenary (7) 1323161
nonary (9) 284605
undecimal (11) 1097a6
duodecimal (12) 84835
tridecimal (13) 61271
tetradecimal (14) 475a1
pentadecimal (15) 36848

As an angle

173,993° = 483 × 360° + 113°
113° ≈ 1.972 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ρογϡϟγʹ
Chinese
一十七萬三千九百九十三
Chinese (financial)
壹拾柒萬參仟玖佰玖拾參
In other modern scripts
Eastern Arabic ١٧٣٩٩٣ Devanagari १७३९९३ Bengali ১৭৩৯৯৩ Tamil ௧௭௩௯௯௩ Thai ๑๗๓๙๙๓ Tibetan ༡༧༣༩༩༣ Khmer ១៧៣៩៩៣ Lao ໑໗໓໙໙໓ Burmese ၁၇၃၉၉၃

Also seen as

Prime neighborhood

Adjacent primes:

Unicode codepoint
𪞩
CJK Unified Ideograph-2A7A9
U+2A7A9
Other letter (Lo)

UTF-8 encoding: F0 AA 9E A9 (4 bytes).

Hex color
#02A7A9
RGB(2, 167, 169)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.167.169.

Address
0.2.167.169
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.167.169

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 173,993 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.