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996,301

996,301 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.).

996,301 (nine hundred ninety-six 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, 0xF33CD.

Arithmetic Number Cube-Free Deficient Number Emirp Happy Number Odious Number Pernicious 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
20 bits
Reversed
103,699
Square (n²)
992,615,682,601
Cube (n³)
988,943,997,191,058,901
Divisor count
2
σ(n) — sum of divisors
996,302
φ(n) — Euler's totient
996,300

Primality

996,301 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 996301
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 996,301)
1 × 996301
First multiples
996,301 · 1,992,602 (double) · 2,988,903 · 3,985,204 · 4,981,505 · 5,977,806 · 6,974,107 · 7,970,408 · 8,966,709 · 9,963,010

Sums & aliquot sequence

As a sum of two squares: 685² + 726²
As consecutive integers: 498,150 + 498,151

Continued fraction of √n

√996,301 = [998; (6, 1, 2, 1, 1, 2, 2, 4, 1, 1, 10, 1, 1, 5, 1, 3, 1, 6, 1, 5, 1, 8, 1, 1, …)]

Representations

In words
nine hundred ninety-six thousand three hundred one
Ordinal
996301st
Binary
11110011001111001101
Octal
3631715
Hexadecimal
0xF33CD
Base64
DzPN
One's complement
4,293,970,994 (32-bit)
Scientific notation
9.96301 × 10⁵
As a duration
996,301 s = 11 days, 12 hours, 45 minutes, 1 second
In other bases
ternary (3) 1212121200001
quaternary (4) 3303033031
quinary (5) 223340201
senary (6) 33204301
septenary (7) 11316445
nonary (9) 1777601
undecimal (11) 620599
duodecimal (12) 400691
tridecimal (13) 28b637
tetradecimal (14) 1bd125
pentadecimal (15) 14a301

As an angle

996,301° = 2,767 × 360° + 181°
181° ≈ 3.159 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓏺
Greek (Milesian)
͵ϡϟϛταʹ
Chinese
九十九萬六千三百零一
Chinese (financial)
玖拾玖萬陸仟參佰零壹
In other modern scripts
Eastern Arabic ٩٩٦٣٠١ Devanagari ९९६३०१ Bengali ৯৯৬৩০১ Tamil ௯௯௬௩௦௧ Thai ๙๙๖๓๐๑ Tibetan ༩༩༦༣༠༡ Khmer ៩៩៦៣០១ Lao ໙໙໖໓໐໑ Burmese ၉၉၆၃၀၁

Also seen as

Prime neighborhood

Adjacent primes:

Hex color
#0F33CD
RGB(15, 51, 205)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.51.205.

Address
0.15.51.205
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.51.205

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 996,301 and was likely granted around 1911.

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

Position in π

The digit sequence 996301 first appears in π at position 605,449 of the decimal expansion (the 605,449ordinal-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.