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172,721

172,721 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.).

172,721 (one hundred seventy-two thousand seven hundred twenty-one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x2A2B1.

Arithmetic Number Chen Prime Cousin Prime Cube-Free Deficient Number Emirp Evil Number Prime Pythagorean Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
20
Digit product
196
Digital root
2
Palindrome
No
Bit width
18 bits
Reversed
127,271
Square (n²)
29,832,543,841
Cube (n³)
5,152,706,804,761,361
Divisor count
2
σ(n) — sum of divisors
172,722
φ(n) — Euler's totient
172,720

Primality

172,721 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 172721
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 172,721)
1 × 172721
First multiples
172,721 · 345,442 (double) · 518,163 · 690,884 · 863,605 · 1,036,326 · 1,209,047 · 1,381,768 · 1,554,489 · 1,727,210

Sums & aliquot sequence

As a sum of two squares: 239² + 340²
As consecutive integers: 86,360 + 86,361

Continued fraction of √n

√172,721 = [415; (1, 1, 2, 13, 1, 2, 4, 1, 5, 1, 5, 7, 1, 8, 1, 9, 8, 1, 1, 1, 5, 2, 2, 2, …)]

Representations

In words
one hundred seventy-two thousand seven hundred twenty-one
Ordinal
172721st
Binary
101010001010110001
Octal
521261
Hexadecimal
0x2A2B1
Base64
AqKx
One's complement
4,294,794,574 (32-bit)
Scientific notation
1.72721 × 10⁵
As a duration
172,721 s = 1 day, 23 hours, 58 minutes, 41 seconds
In other bases
ternary (3) 22202221002
quaternary (4) 222022301
quinary (5) 21011341
senary (6) 3411345
septenary (7) 1316363
nonary (9) 282832
undecimal (11) 10884a
duodecimal (12) 83b55
tridecimal (13) 60803
tetradecimal (14) 46d33
pentadecimal (15) 3629b

As an angle

172,721° = 479 × 360° + 281°
281° ≈ 4.904 rad
Compass bearing: W (west)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺
Greek (Milesian)
͵ροβψκαʹ
Chinese
一十七萬二千七百二十一
Chinese (financial)
壹拾柒萬貳仟柒佰貳拾壹
In other modern scripts
Eastern Arabic ١٧٢٧٢١ Devanagari १७२७२१ Bengali ১৭২৭২১ Tamil ௧௭௨௭௨௧ Thai ๑๗๒๗๒๑ Tibetan ༡༧༢༧༢༡ Khmer ១៧២៧២១ Lao ໑໗໒໗໒໑ Burmese ၁၇၂၇၂၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: cousin with 172717.

Unicode codepoint
𪊱
CJK Unified Ideograph-2A2B1
U+2A2B1
Other letter (Lo)

UTF-8 encoding: F0 AA 8A B1 (4 bytes).

Hex color
#02A2B1
RGB(2, 162, 177)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.162.177.

Address
0.2.162.177
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.162.177

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 172,721 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.