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171,401

171,401 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.).

171,401 (one hundred seventy-one thousand four hundred one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x29D89.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
14
Digit product
0
Digital root
5
Palindrome
No
Bit width
18 bits
Reversed
104,171
Recamán's sequence
a(192,962) = 171,401
Square (n²)
29,378,302,801
Cube (n³)
5,035,470,478,394,201
Divisor count
2
σ(n) — sum of divisors
171,402
φ(n) — Euler's totient
171,400

Primality

171,401 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 171401
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 171,401)
1 × 171401
First multiples
171,401 · 342,802 (double) · 514,203 · 685,604 · 857,005 · 1,028,406 · 1,199,807 · 1,371,208 · 1,542,609 · 1,714,010

Sums & aliquot sequence

As a sum of two squares: 124² + 395²
As consecutive integers: 85,700 + 85,701

Continued fraction of √n

√171,401 = [414; (165, 1, 1, 1, 1, 32, 1, 1, 11, 1, 5, 1, 2, 2, 1, 1, 1, 3, 2, 1, 5, 1, 1, 1, …)]

Representations

In words
one hundred seventy-one thousand four hundred one
Ordinal
171401st
Binary
101001110110001001
Octal
516611
Hexadecimal
0x29D89
Base64
Ap2J
One's complement
4,294,795,894 (32-bit)
Scientific notation
1.71401 × 10⁵
As a duration
171,401 s = 1 day, 23 hours, 36 minutes, 41 seconds
In other bases
ternary (3) 22201010012
quaternary (4) 221312021
quinary (5) 20441101
senary (6) 3401305
septenary (7) 1312466
nonary (9) 281105
undecimal (11) 10785a
duodecimal (12) 83235
tridecimal (13) 60029
tetradecimal (14) 4666d
pentadecimal (15) 35bbb

As an angle

171,401° = 476 × 360° + 41°
41° ≈ 0.716 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓏺
Greek (Milesian)
͵ροαυαʹ
Chinese
一十七萬一千四百零一
Chinese (financial)
壹拾柒萬壹仟肆佰零壹
In other modern scripts
Eastern Arabic ١٧١٤٠١ Devanagari १७१४०१ Bengali ১৭১৪০১ Tamil ௧௭௧௪௦௧ Thai ๑๗๑๔๐๑ Tibetan ༡༧༡༤༠༡ Khmer ១៧១៤០១ Lao ໑໗໑໔໐໑ Burmese ၁၇၁၄၀၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 171403.

Unicode codepoint
𩶉
CJK Unified Ideograph-29D89
U+29D89
Other letter (Lo)

UTF-8 encoding: F0 A9 B6 89 (4 bytes).

Hex color
#029D89
RGB(2, 157, 137)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.157.137.

Address
0.2.157.137
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.157.137

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 171,401 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 171401 first appears in π at position 865,532 of the decimal expansion (the 865,532ordinal-suffix:nd 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.