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491,137

491,137 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.).

491,137 (four hundred ninety-one thousand one hundred thirty-seven) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x77E81.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
25
Digit product
756
Digital root
7
Palindrome
No
Bit width
19 bits
Reversed
731,194
Square (n²)
241,215,552,769
Cube (n³)
118,469,882,940,308,353
Divisor count
2
σ(n) — sum of divisors
491,138
φ(n) — Euler's totient
491,136

Primality

491,137 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 491137
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 491,137)
1 × 491137
First multiples
491,137 · 982,274 (double) · 1,473,411 · 1,964,548 · 2,455,685 · 2,946,822 · 3,437,959 · 3,929,096 · 4,420,233 · 4,911,370

Sums & aliquot sequence

As a sum of two squares: 319² + 624²
As consecutive integers: 245,568 + 245,569

Continued fraction of √n

√491,137 = [700; (1, 4, 3, 4, 2, 2, 5, 1, 1, 44, 1, 2, 23, 2, 2, 1, 1, 1, 4, 1, 2, 1, 4, 1, …)]

Representations

In words
four hundred ninety-one thousand one hundred thirty-seven
Ordinal
491137th
Binary
1110111111010000001
Octal
1677201
Hexadecimal
0x77E81
Base64
B36B
One's complement
4,294,476,158 (32-bit)
Scientific notation
4.91137 × 10⁵
As a duration
491,137 s = 5 days, 16 hours, 25 minutes, 37 seconds
In other bases
ternary (3) 220221201021
quaternary (4) 1313322001
quinary (5) 111204022
senary (6) 14305441
septenary (7) 4113613
nonary (9) 827637
undecimal (11) 305aa9
duodecimal (12) 1b8281
tridecimal (13) 14271a
tetradecimal (14) cadb3
pentadecimal (15) 9a7c7

As an angle

491,137° = 1,364 × 360° + 97°
97° ≈ 1.693 rad
Compass bearing: E (east)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵υϟαρλζʹ
Chinese
四十九萬一千一百三十七
Chinese (financial)
肆拾玖萬壹仟壹佰參拾柒
In other modern scripts
Eastern Arabic ٤٩١١٣٧ Devanagari ४९११३७ Bengali ৪৯১১৩৭ Tamil ௪௯௧௧௩௭ Thai ๔๙๑๑๓๗ Tibetan ༤༩༡༡༣༧ Khmer ៤៩១១៣៧ Lao ໔໙໑໑໓໗ Burmese ၄၉၁၁၃၇

Also seen as

Prime neighborhood

Adjacent primes:

Hex color
#077E81
RGB(7, 126, 129)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.126.129.

Address
0.7.126.129
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.126.129

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 491,137 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 491137 first appears in π at position 545,363 of the decimal expansion (the 545,363ordinal-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.