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488,441

488,441 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.).

488,441 (four hundred eighty-eight thousand four hundred forty-one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x773F9.

Arithmetic Number Chen Prime Cube-Free Deficient Number Evil Number Prime Pythagorean Prime Sophie Germain Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
29
Digit product
4,096
Digital root
2
Palindrome
No
Bit width
19 bits
Reversed
144,884
Square (n²)
238,574,610,481
Cube (n³)
116,529,621,317,950,121
Divisor count
2
σ(n) — sum of divisors
488,442
φ(n) — Euler's totient
488,440

Primality

488,441 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 488441
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 488,441)
1 × 488441
First multiples
488,441 · 976,882 (double) · 1,465,323 · 1,953,764 · 2,442,205 · 2,930,646 · 3,419,087 · 3,907,528 · 4,395,969 · 4,884,410

Sums & aliquot sequence

As a sum of two squares: 365² + 596²
As consecutive integers: 244,220 + 244,221

Continued fraction of √n

√488,441 = [698; (1, 7, 1, 2, 1, 3, 1, 47, 2, 2, 3, 1, 1, 1, 25, 1, 2, 1, 3, 12, 4, 1, 2, 4, …)]

Representations

In words
four hundred eighty-eight thousand four hundred forty-one
Ordinal
488441st
Binary
1110111001111111001
Octal
1671771
Hexadecimal
0x773F9
Base64
B3P5
One's complement
4,294,478,854 (32-bit)
Scientific notation
4.88441 × 10⁵
As a duration
488,441 s = 5 days, 15 hours, 40 minutes, 41 seconds
In other bases
ternary (3) 220211000102
quaternary (4) 1313033321
quinary (5) 111112231
senary (6) 14245145
septenary (7) 4103012
nonary (9) 824012
undecimal (11) 303a78
duodecimal (12) 1b67b5
tridecimal (13) 141425
tetradecimal (14) ca009
pentadecimal (15) 99acb

As an angle

488,441° = 1,356 × 360° + 281°
281° ≈ 4.904 rad
Compass bearing: W (west)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺
Greek (Milesian)
͵υπηυμαʹ
Chinese
四十八萬八千四百四十一
Chinese (financial)
肆拾捌萬捌仟肆佰肆拾壹
In other modern scripts
Eastern Arabic ٤٨٨٤٤١ Devanagari ४८८४४१ Bengali ৪৮৮৪৪১ Tamil ௪௮௮௪௪௧ Thai ๔๘๘๔๔๑ Tibetan ༤༨༨༤༤༡ Khmer ៤៨៨៤៤១ Lao ໔໘໘໔໔໑ Burmese ၄၈၈၄၄၁

Also seen as

Prime neighborhood

Adjacent primes:

Hex color
#0773F9
RGB(7, 115, 249)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.115.249.

Address
0.7.115.249
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.115.249

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 488,441 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 488441 first appears in π at position 420,590 of the decimal expansion (the 420,590ordinal-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.