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173,137

173,137 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.).

173,137 (one hundred seventy-three thousand one hundred thirty-seven) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x2A451.

Arithmetic Number Chen Prime Cousin Prime Cube-Free Deficient Number Odious Number Pernicious Number Prime Pythagorean Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
22
Digit product
441
Digital root
4
Palindrome
No
Bit width
18 bits
Reversed
731,371
Square (n²)
29,976,420,769
Cube (n³)
5,190,027,562,682,353
Divisor count
2
σ(n) — sum of divisors
173,138
φ(n) — Euler's totient
173,136

Primality

173,137 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 173137
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 173,137)
1 × 173137
First multiples
173,137 · 346,274 (double) · 519,411 · 692,548 · 865,685 · 1,038,822 · 1,211,959 · 1,385,096 · 1,558,233 · 1,731,370

Sums & aliquot sequence

As a sum of two squares: 9² + 416²
As consecutive integers: 86,568 + 86,569

Continued fraction of √n

√173,137 = [416; (10, 3, 1, 1, 1, 103, 2, 1, 1, 2, 1, 1, 14, 51, 1, 16, 1, 2, 1, 1, 1, 3, 1, 25, …)]

Representations

In words
one hundred seventy-three thousand one hundred thirty-seven
Ordinal
173137th
Binary
101010010001010001
Octal
522121
Hexadecimal
0x2A451
Base64
AqRR
One's complement
4,294,794,158 (32-bit)
Scientific notation
1.73137 × 10⁵
As a duration
173,137 s = 2 days, 5 minutes, 37 seconds
In other bases
ternary (3) 22210111111
quaternary (4) 222101101
quinary (5) 21020022
senary (6) 3413321
septenary (7) 1320526
nonary (9) 283444
undecimal (11) 109098
duodecimal (12) 84241
tridecimal (13) 60a63
tetradecimal (14) 4714d
pentadecimal (15) 36477

As an angle

173,137° = 480 × 360° + 337°
337° ≈ 5.882 rad
Compass bearing: NNW (north-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρογρλζʹ
Chinese
一十七萬三千一百三十七
Chinese (financial)
壹拾柒萬參仟壹佰參拾柒
In other modern scripts
Eastern Arabic ١٧٣١٣٧ Devanagari १७३१३७ Bengali ১৭৩১৩৭ Tamil ௧௭௩௧௩௭ Thai ๑๗๓๑๓๗ Tibetan ༡༧༣༡༣༧ Khmer ១៧៣១៣៧ Lao ໑໗໓໑໓໗ Burmese ၁၇၃၁၃၇

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: cousin with 173141.

Unicode codepoint
𪑑
CJK Unified Ideograph-2A451
U+2A451
Other letter (Lo)

UTF-8 encoding: F0 AA 91 91 (4 bytes).

Hex color
#02A451
RGB(2, 164, 81)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.164.81.

Address
0.2.164.81
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.164.81

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 173,137 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.