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172,009

172,009 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.).

172,009 (one hundred seventy-two thousand nine) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x29FE9.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
19
Digit product
0
Digital root
1
Palindrome
No
Bit width
18 bits
Reversed
900,271
Recamán's sequence
a(191,746) = 172,009
Square (n²)
29,587,096,081
Cube (n³)
5,089,246,809,796,729
Divisor count
2
σ(n) — sum of divisors
172,010
φ(n) — Euler's totient
172,008

Primality

172,009 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 172009
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 172,009)
1 × 172009
First multiples
172,009 · 344,018 (double) · 516,027 · 688,036 · 860,045 · 1,032,054 · 1,204,063 · 1,376,072 · 1,548,081 · 1,720,090

Sums & aliquot sequence

As a sum of two squares: 120² + 397²
As consecutive integers: 86,004 + 86,005

Continued fraction of √n

√172,009 = [414; (1, 2, 1, 5, 3, 3, 1, 1, 5, 3, 6, 1, 1, 2, 18, 25, 1, 6, 1, 1, 21, 1, 7, 1, …)]

Representations

In words
one hundred seventy-two thousand nine
Ordinal
172009th
Binary
101001111111101001
Octal
517751
Hexadecimal
0x29FE9
Base64
Ap/p
One's complement
4,294,795,286 (32-bit)
Scientific notation
1.72009 × 10⁵
As a duration
172,009 s = 1 day, 23 hours, 46 minutes, 49 seconds
In other bases
ternary (3) 22201221201
quaternary (4) 221333221
quinary (5) 21001014
senary (6) 3404201
septenary (7) 1314325
nonary (9) 281851
undecimal (11) 108262
duodecimal (12) 83661
tridecimal (13) 603a6
tetradecimal (14) 46985
pentadecimal (15) 35e74

As an angle

172,009° = 477 × 360° + 289°
289° ≈ 5.044 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ροβθʹ
Chinese
一十七萬二千零九
Chinese (financial)
壹拾柒萬貳仟零玖
In other modern scripts
Eastern Arabic ١٧٢٠٠٩ Devanagari १७२००९ Bengali ১৭২০০৯ Tamil ௧௭௨௦௦௯ Thai ๑๗๒๐๐๙ Tibetan ༡༧༢༠༠༩ Khmer ១៧២០០៩ Lao ໑໗໒໐໐໙ Burmese ၁၇၂၀၀၉

Also seen as

Prime neighborhood

Adjacent primes:

Unicode codepoint
𩿩
CJK Unified Ideograph-29Fe9
U+29FE9
Other letter (Lo)

UTF-8 encoding: F0 A9 BF A9 (4 bytes).

Hex color
#029FE9
RGB(2, 159, 233)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.159.233.

Address
0.2.159.233
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.159.233

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 172,009 and was likely granted around 1874.

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

Position in π

The digit sequence 172009 first appears in π at position 476,171 of the decimal expansion (the 476,171ordinal-suffix:st digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.

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.