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488,701

488,701 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.).

488,701 (four hundred eighty-eight thousand seven hundred one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x774FD.

Arithmetic Number Chen Prime Cube-Free Deficient Number Evil Number Prime Pythagorean Prime Self Number Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
28
Digit product
0
Digital root
1
Palindrome
No
Bit width
19 bits
Reversed
107,884
Square (n²)
238,828,667,401
Cube (n³)
116,715,808,587,536,101
Divisor count
2
σ(n) — sum of divisors
488,702
φ(n) — Euler's totient
488,700

Primality

488,701 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 488701
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 488,701)
1 × 488701
First multiples
488,701 · 977,402 (double) · 1,466,103 · 1,954,804 · 2,443,505 · 2,932,206 · 3,420,907 · 3,909,608 · 4,398,309 · 4,887,010

Sums & aliquot sequence

As a sum of two squares: 10² + 699²
As consecutive integers: 244,350 + 244,351

Continued fraction of √n

√488,701 = [699; (13, 1, 50, 1, 5, 1, 6, 1, 6, 1, 1, 3, 2, 1, 1, 5, 1, 1, 15, 1, 1, 7, 1, 22, …)]

Representations

In words
four hundred eighty-eight thousand seven hundred one
Ordinal
488701st
Binary
1110111010011111101
Octal
1672375
Hexadecimal
0x774FD
Base64
B3T9
One's complement
4,294,478,594 (32-bit)
Scientific notation
4.88701 × 10⁵
As a duration
488,701 s = 5 days, 15 hours, 45 minutes, 1 second
In other bases
ternary (3) 220211101001
quaternary (4) 1313103331
quinary (5) 111114301
senary (6) 14250301
septenary (7) 4103533
nonary (9) 824331
undecimal (11) 304194
duodecimal (12) 1b6991
tridecimal (13) 141595
tetradecimal (14) ca153
pentadecimal (15) 99c01

As an angle

488,701° = 1,357 × 360° + 181°
181° ≈ 3.159 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓏺
Greek (Milesian)
͵υπηψαʹ
Chinese
四十八萬八千七百零一
Chinese (financial)
肆拾捌萬捌仟柒佰零壹
In other modern scripts
Eastern Arabic ٤٨٨٧٠١ Devanagari ४८८७०१ Bengali ৪৮৮৭০১ Tamil ௪௮௮௭௦௧ Thai ๔๘๘๗๐๑ Tibetan ༤༨༨༧༠༡ Khmer ៤៨៨៧០១ Lao ໔໘໘໗໐໑ Burmese ၄၈၈၇၀၁

Also seen as

Prime neighborhood

Adjacent primes:

Hex color
#0774FD
RGB(7, 116, 253)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.116.253.

Address
0.7.116.253
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.116.253

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 488,701 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 488701 first appears in π at position 781,878 of the decimal expansion (the 781,878ordinal-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.