number.wiki
Live analysis

991,201

991,201 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.).

991,201 (nine hundred ninety-one thousand two hundred one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xF1FE1.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
22
Digit product
0
Digital root
4
Palindrome
No
Bit width
20 bits
Reversed
102,199
Square (n²)
982,479,422,401
Cube (n³)
973,834,585,963,293,601
Divisor count
2
σ(n) — sum of divisors
991,202
φ(n) — Euler's totient
991,200

Primality

991,201 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 991201
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 991,201)
1 × 991201
First multiples
991,201 · 1,982,402 (double) · 2,973,603 · 3,964,804 · 4,956,005 · 5,947,206 · 6,938,407 · 7,929,608 · 8,920,809 · 9,912,010

Sums & aliquot sequence

As a sum of two squares: 520² + 849²
As consecutive integers: 495,600 + 495,601

Continued fraction of √n

√991,201 = [995; (1, 1, 2, 3, 1, 15, 6, 2, 1, 1, 1, 2, 5, 3, 2, 2, 1, 2, 8, 1, 1, 1, 3, 1, …)]

Period length 51 — the block in parentheses repeats forever.

Representations

In words
nine hundred ninety-one thousand two hundred one
Ordinal
991201st
Binary
11110001111111100001
Octal
3617741
Hexadecimal
0xF1FE1
Base64
Dx/h
One's complement
4,293,976,094 (32-bit)
Scientific notation
9.91201 × 10⁵
As a duration
991,201 s = 11 days, 11 hours, 20 minutes, 1 second
In other bases
ternary (3) 1212100200011
quaternary (4) 3301333201
quinary (5) 223204301
senary (6) 33124521
septenary (7) 11265541
nonary (9) 1770604
undecimal (11) 617782
duodecimal (12) 3b9741
tridecimal (13) 289213
tetradecimal (14) 1bb321
pentadecimal (15) 148a51

As an angle

991,201° = 2,753 × 360° + 121°
121° ≈ 2.112 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋 𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓍢𓍢𓏺
Greek (Milesian)
͵ϡϟασαʹ
Chinese
九十九萬一千二百零一
Chinese (financial)
玖拾玖萬壹仟貳佰零壹
In other modern scripts
Eastern Arabic ٩٩١٢٠١ Devanagari ९९१२०१ Bengali ৯৯১২০১ Tamil ௯௯௧௨௦௧ Thai ๙๙๑๒๐๑ Tibetan ༩༩༡༢༠༡ Khmer ៩៩១២០១ Lao ໙໙໑໒໐໑ Burmese ၉၉၁၂၀၁

Also seen as

Prime neighborhood

Adjacent primes:

Hex color
#0F1FE1
RGB(15, 31, 225)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.31.225.

Address
0.15.31.225
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.31.225

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 991,201 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 991201 first appears in π at position 65,701 of the decimal expansion (the 65,701ordinal-suffix:st 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.