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488,171

488,171 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.).

488,171 (four hundred eighty-eight thousand one hundred seventy-one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x772EB.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
29
Digit product
1,792
Digital root
2
Palindrome
No
Bit width
19 bits
Reversed
171,884
Square (n²)
238,310,925,241
Cube (n³)
116,336,482,685,824,211
Divisor count
2
σ(n) — sum of divisors
488,172
φ(n) — Euler's totient
488,170

Primality

488,171 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 488171
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 488,171)
1 × 488171
First multiples
488,171 · 976,342 (double) · 1,464,513 · 1,952,684 · 2,440,855 · 2,929,026 · 3,417,197 · 3,905,368 · 4,393,539 · 4,881,710

Sums & aliquot sequence

As consecutive integers: 244,085 + 244,086

Continued fraction of √n

√488,171 = [698; (1, 2, 3, 1, 138, 1, 31, 1, 1, 55, 2, 1, 1, 2, 1, 1, 1, 6, 5, 2, 3, 1, 1, 2, …)]

Representations

In words
four hundred eighty-eight thousand one hundred seventy-one
Ordinal
488171st
Binary
1110111001011101011
Octal
1671353
Hexadecimal
0x772EB
Base64
B3Lr
One's complement
4,294,479,124 (32-bit)
Scientific notation
4.88171 × 10⁵
As a duration
488,171 s = 5 days, 15 hours, 36 minutes, 11 seconds
In other bases
ternary (3) 220210122102
quaternary (4) 1313023223
quinary (5) 111110141
senary (6) 14244015
septenary (7) 4102145
nonary (9) 823572
undecimal (11) 303852
duodecimal (12) 1b660b
tridecimal (13) 141278
tetradecimal (14) c9c95
pentadecimal (15) 9999b

As an angle

488,171° = 1,356 × 360° + 11°
11° ≈ 0.192 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺
Greek (Milesian)
͵υπηροαʹ
Chinese
四十八萬八千一百七十一
Chinese (financial)
肆拾捌萬捌仟壹佰柒拾壹
In other modern scripts
Eastern Arabic ٤٨٨١٧١ Devanagari ४८८१७१ Bengali ৪৮৮১৭১ Tamil ௪௮௮௧௭௧ Thai ๔๘๘๑๗๑ Tibetan ༤༨༨༡༧༡ Khmer ៤៨៨១៧១ Lao ໔໘໘໑໗໑ Burmese ၄၈၈၁၇၁

Also seen as

Prime neighborhood

Adjacent primes:

Hex color
#0772EB
RGB(7, 114, 235)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.114.235.

Address
0.7.114.235
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.114.235

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 488,171 and was likely granted around 1892.

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

Position in π

The digit sequence 488171 first appears in π at position 29,673 of the decimal expansion (the 29,673ordinal-suffix:rd 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.