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999,221

999,221 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.).

999,221 (nine hundred ninety-nine thousand two hundred twenty-one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xF3F35.

Arithmetic Number Chen Prime Cousin Prime Cube-Free Deficient Number Evil Number Prime Pythagorean Prime Sophie Germain Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
32
Digit product
2,916
Digital root
5
Palindrome
No
Bit width
20 bits
Reversed
122,999
Square (n²)
998,442,606,841
Cube (n³)
997,664,820,050,270,861
Divisor count
2
σ(n) — sum of divisors
999,222
φ(n) — Euler's totient
999,220

Primality

999,221 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 999221
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 999,221)
1 × 999221
First multiples
999,221 · 1,998,442 (double) · 2,997,663 · 3,996,884 · 4,996,105 · 5,995,326 · 6,994,547 · 7,993,768 · 8,992,989 · 9,992,210

Sums & aliquot sequence

As a sum of two squares: 311² + 950²
As consecutive integers: 499,610 + 499,611

Continued fraction of √n

√999,221 = [999; (1, 1, 1, 1, 3, 4, 4, 1, 1, 1, 8, 3, 8, 1, 3, 3, 1, 1, 3, 1, 3, 1, 1, 6, …)]

Representations

In words
nine hundred ninety-nine thousand two hundred twenty-one
Ordinal
999221st
Binary
11110011111100110101
Octal
3637465
Hexadecimal
0xF3F35
Base64
Dz81
One's complement
4,293,968,074 (32-bit)
Scientific notation
9.99221 × 10⁵
As a duration
999,221 s = 11 days, 13 hours, 33 minutes, 41 seconds
In other bases
ternary (3) 1212202200012
quaternary (4) 3303330311
quinary (5) 223433341
senary (6) 33230005
septenary (7) 11331116
nonary (9) 1782605
undecimal (11) 622803
duodecimal (12) 402305
tridecimal (13) 28ca72
tetradecimal (14) 1c020d
pentadecimal (15) 14b0eb

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓏺
Greek (Milesian)
͵ϡϟθσκαʹ
Chinese
九十九萬九千二百二十一
Chinese (financial)
玖拾玖萬玖仟貳佰貳拾壹
In other modern scripts
Eastern Arabic ٩٩٩٢٢١ Devanagari ९९९२२१ Bengali ৯৯৯২২১ Tamil ௯௯௯௨௨௧ Thai ๙๙๙๒๒๑ Tibetan ༩༩༩༢༢༡ Khmer ៩៩៩២២១ Lao ໙໙໙໒໒໑ Burmese ၉၉၉၂၂၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: cousin with 999217.

Hex color
#0F3F35
RGB(15, 63, 53)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.63.53.

Address
0.15.63.53
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.63.53

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 999,221 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 999221 first appears in π at position 495,948 of the decimal expansion (the 495,948ordinal-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.