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981,301

981,301 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.).

981,301 (nine hundred eighty-one thousand three hundred one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xEF935.

Arithmetic Number Cube-Free Deficient Number Odious Number Pernicious Number Prime Pythagorean Prime Recamán's Sequence Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
22
Digit product
0
Digital root
4
Palindrome
No
Bit width
20 bits
Reversed
103,189
Recamán's sequence
a(323,809) = 981,301
Square (n²)
962,951,652,601
Cube (n³)
944,945,419,649,013,901
Divisor count
2
σ(n) — sum of divisors
981,302
φ(n) — Euler's totient
981,300

Primality

981,301 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 981301
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 981,301)
1 × 981301
First multiples
981,301 · 1,962,602 (double) · 2,943,903 · 3,925,204 · 4,906,505 · 5,887,806 · 6,869,107 · 7,850,408 · 8,831,709 · 9,813,010

Sums & aliquot sequence

As a sum of two squares: 201² + 970²
As consecutive integers: 490,650 + 490,651

Continued fraction of √n

√981,301 = [990; (1, 1, 1, 1, 5, 1, 2, 37, 32, 1, 151, 2, 3, 7, 3, 3, 1, 1, 2, 3, 4, 2, 3, 3, …)]

Representations

In words
nine hundred eighty-one thousand three hundred one
Ordinal
981301st
Binary
11101111100100110101
Octal
3574465
Hexadecimal
0xEF935
Base64
Dvk1
One's complement
4,293,985,994 (32-bit)
Scientific notation
9.81301 × 10⁵
As a duration
981,301 s = 11 days, 8 hours, 35 minutes, 1 second
In other bases
ternary (3) 1211212002111
quaternary (4) 3233210311
quinary (5) 222400201
senary (6) 33011021
septenary (7) 11224636
nonary (9) 1755074
undecimal (11) 6102a2
duodecimal (12) 3b3a71
tridecimal (13) 284869
tetradecimal (14) 1b788d
pentadecimal (15) 145b51

As an angle

981,301° = 2,725 × 360° + 301°
301° ≈ 5.253 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓏺
Greek (Milesian)
͵ϡπαταʹ
Chinese
九十八萬一千三百零一
Chinese (financial)
玖拾捌萬壹仟參佰零壹
In other modern scripts
Eastern Arabic ٩٨١٣٠١ Devanagari ९८१३०१ Bengali ৯৮১৩০১ Tamil ௯௮௧௩௦௧ Thai ๙๘๑๓๐๑ Tibetan ༩༨༡༣༠༡ Khmer ៩៨១៣០១ Lao ໙໘໑໓໐໑ Burmese ၉၈၁၃၀၁

Also seen as

Prime neighborhood

Adjacent primes:

Hex color
#0EF935
RGB(14, 249, 53)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.14.249.53.

Address
0.14.249.53
Class
reserved
IPv4-mapped IPv6
::ffff:0.14.249.53

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 981,301 and was likely granted around 1910.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Position in π

The digit sequence 981301 first appears in π at position 687,402 of the decimal expansion (the 687,402ordinal-suffix:nd 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.