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996,001

996,001 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.).

996,001 (nine hundred ninety-six thousand one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xF32A1.

Arithmetic Number Cube-Free Deficient Number Emirp Evil Number Flippable Prime Pythagorean Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
25
Digit product
0
Digital root
7
Palindrome
No
Bit width
20 bits
Reversed
100,699
Flips to (rotate 180°)
100,966
Square (n²)
992,017,992,001
Cube (n³)
988,050,912,050,988,001
Divisor count
2
σ(n) — sum of divisors
996,002
φ(n) — Euler's totient
996,000

Primality

996,001 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 996001
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 996,001)
1 × 996001
First multiples
996,001 · 1,992,002 (double) · 2,988,003 · 3,984,004 · 4,980,005 · 5,976,006 · 6,972,007 · 7,968,008 · 8,964,009 · 9,960,010

Sums & aliquot sequence

As a sum of two squares: 576² + 815²
As consecutive integers: 498,000 + 498,001

Continued fraction of √n

√996,001 = [997; (1, 664, 3, 221, 2, 3, 1, 73, 6, 1, 3, 24, 2, 1, 1, 1, 1, 2, 2, 7, 1, 3, 1, 6, …)]

Representations

In words
nine hundred ninety-six thousand one
Ordinal
996001st
Binary
11110011001010100001
Octal
3631241
Hexadecimal
0xF32A1
Base64
DzKh
One's complement
4,293,971,294 (32-bit)
Scientific notation
9.96001 × 10⁵
As a duration
996,001 s = 11 days, 12 hours, 40 minutes, 1 second
In other bases
ternary (3) 1212121020221
quaternary (4) 3303022201
quinary (5) 223333001
senary (6) 33203041
septenary (7) 11315536
nonary (9) 1777227
undecimal (11) 620346
duodecimal (12) 400481
tridecimal (13) 28b466
tetradecimal (14) 1bcd8d
pentadecimal (15) 14a1a1

As an angle

996,001° = 2,766 × 360° + 241°
241° ≈ 4.206 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓏺
Greek (Milesian)
͵ϡϟϛαʹ
Chinese
九十九萬六千零一
Chinese (financial)
玖拾玖萬陸仟零壹
In other modern scripts
Eastern Arabic ٩٩٦٠٠١ Devanagari ९९६००१ Bengali ৯৯৬০০১ Tamil ௯௯௬௦௦௧ Thai ๙๙๖๐๐๑ Tibetan ༩༩༦༠༠༡ Khmer ៩៩៦០០១ Lao ໙໙໖໐໐໑ Burmese ၉၉၆၀၀၁

Also seen as

Prime neighborhood

Adjacent primes:

Hex color
#0F32A1
RGB(15, 50, 161)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.50.161.

Address
0.15.50.161
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.50.161

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 996,001 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 996001 first appears in π at position 705,825 of the decimal expansion (the 705,825ordinal-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.