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488,401

488,401 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.).

488,401 (four hundred eighty-eight 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, 0x773D1.

Arithmetic Number Cube-Free Deficient Number Evil Number Prime Pythagorean Prime Sexy Prime Squarefree Twin Prime

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
25
Digit product
0
Digital root
7
Palindrome
No
Bit width
19 bits
Reversed
104,884
Square (n²)
238,535,536,801
Cube (n³)
116,500,994,709,145,201
Divisor count
2
σ(n) — sum of divisors
488,402
φ(n) — Euler's totient
488,400

Primality

488,401 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 488401
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 488,401)
1 × 488401
First multiples
488,401 · 976,802 (double) · 1,465,203 · 1,953,604 · 2,442,005 · 2,930,406 · 3,418,807 · 3,907,208 · 4,395,609 · 4,884,010

Sums & aliquot sequence

As a sum of two squares: 360² + 599²
As consecutive integers: 244,200 + 244,201

Continued fraction of √n

√488,401 = [698; (1, 5, 1, 92, 3, 11, 3, 5, 1, 7, 1, 18, 1, 1, 9, 5, 5, 1, 9, 1, 4, 1, 10, 1, …)]

Representations

In words
four hundred eighty-eight thousand four hundred one
Ordinal
488401st
Binary
1110111001111010001
Octal
1671721
Hexadecimal
0x773D1
Base64
B3PR
One's complement
4,294,478,894 (32-bit)
Scientific notation
4.88401 × 10⁵
As a duration
488,401 s = 5 days, 15 hours, 40 minutes, 1 second
In other bases
ternary (3) 220210221221
quaternary (4) 1313033101
quinary (5) 111112101
senary (6) 14245041
septenary (7) 4102624
nonary (9) 823857
undecimal (11) 303a41
duodecimal (12) 1b6781
tridecimal (13) 1413c4
tetradecimal (14) c9dbb
pentadecimal (15) 99aa1

As an angle

488,401° = 1,356 × 360° + 241°
241° ≈ 4.206 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓏺
Greek (Milesian)
͵υπηυαʹ
Chinese
四十八萬八千四百零一
Chinese (financial)
肆拾捌萬捌仟肆佰零壹
In other modern scripts
Eastern Arabic ٤٨٨٤٠١ Devanagari ४८८४०१ Bengali ৪৮৮৪০১ Tamil ௪௮௮௪௦௧ Thai ๔๘๘๔๐๑ Tibetan ༤༨༨༤༠༡ Khmer ៤៨៨៤០១ Lao ໔໘໘໔໐໑ Burmese ၄၈၈၄၀၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 488399, sexy with 488407.

Hex color
#0773D1
RGB(7, 115, 209)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.115.209.

Address
0.7.115.209
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.115.209

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 488,401 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 488401 first appears in π at position 53,846 of the decimal expansion (the 53,846ordinal-suffix:th 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.