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488,513

488,513 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.).

488,513 (four hundred eighty-eight thousand five hundred thirteen) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x77441.

Arithmetic Number Cube-Free Deficient Number Odious Number Prime Pythagorean Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
29
Digit product
3,840
Digital root
2
Palindrome
No
Bit width
19 bits
Reversed
315,884
Square (n²)
238,644,951,169
Cube (n³)
116,581,161,030,421,697
Divisor count
2
σ(n) — sum of divisors
488,514
φ(n) — Euler's totient
488,512

Primality

488,513 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 488513
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 488,513)
1 × 488513
First multiples
488,513 · 977,026 (double) · 1,465,539 · 1,954,052 · 2,442,565 · 2,931,078 · 3,419,591 · 3,908,104 · 4,396,617 · 4,885,130

Sums & aliquot sequence

As a sum of two squares: 52² + 697²
As consecutive integers: 244,256 + 244,257

Continued fraction of √n

√488,513 = [698; (1, 14, 1, 7, 1, 2, 1, 11, 1, 1, 1, 2, 5, 3, 1, 1, 7, 2, 1, 2, 43, 3, 4, 1, …)]

Representations

In words
four hundred eighty-eight thousand five hundred thirteen
Ordinal
488513th
Binary
1110111010001000001
Octal
1672101
Hexadecimal
0x77441
Base64
B3RB
One's complement
4,294,478,782 (32-bit)
Scientific notation
4.88513 × 10⁵
As a duration
488,513 s = 5 days, 15 hours, 41 minutes, 53 seconds
In other bases
ternary (3) 220211010002
quaternary (4) 1313101001
quinary (5) 111113023
senary (6) 14245345
septenary (7) 4103144
nonary (9) 824102
undecimal (11) 304033
duodecimal (12) 1b6855
tridecimal (13) 14147c
tetradecimal (14) ca05b
pentadecimal (15) 99b28

As an angle

488,513° = 1,356 × 360° + 353°
353° ≈ 6.161 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓏺𓏺𓏺
Greek (Milesian)
͵υπηφιγʹ
Chinese
四十八萬八千五百一十三
Chinese (financial)
肆拾捌萬捌仟伍佰壹拾參
In other modern scripts
Eastern Arabic ٤٨٨٥١٣ Devanagari ४८८५१३ Bengali ৪৮৮৫১৩ Tamil ௪௮௮௫௧௩ Thai ๔๘๘๕๑๓ Tibetan ༤༨༨༥༡༣ Khmer ៤៨៨៥១៣ Lao ໔໘໘໕໑໓ Burmese ၄၈၈၅၁၃

Also seen as

Prime neighborhood

Adjacent primes:

Hex color
#077441
RGB(7, 116, 65)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.116.65.

Address
0.7.116.65
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.116.65

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 488,513 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 488513 first appears in π at position 510,626 of the decimal expansion (the 510,626ordinal-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.