number.wiki
Live analysis

966,221

966,221 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.).

966,221 (nine hundred sixty-six 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, 0xEBE4D.

Arithmetic Number Chen Prime Cube-Free Deficient Number Odious Number Pernicious Number Prime Pythagorean Prime Sexy Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
26
Digit product
1,296
Digital root
8
Palindrome
No
Bit width
20 bits
Reversed
122,669
Square (n²)
933,583,020,841
Cube (n³)
902,047,519,980,011,861
Divisor count
2
σ(n) — sum of divisors
966,222
φ(n) — Euler's totient
966,220

Primality

966,221 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 966221
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 966,221)
1 × 966221
First multiples
966,221 · 1,932,442 (double) · 2,898,663 · 3,864,884 · 4,831,105 · 5,797,326 · 6,763,547 · 7,729,768 · 8,695,989 · 9,662,210

Sums & aliquot sequence

As a sum of two squares: 611² + 770²
As consecutive integers: 483,110 + 483,111

Continued fraction of √n

√966,221 = [982; (1, 27, 1, 10, 3, 1, 2, 1, 1, 1, 6, 1, 2, 2, 1, 6, 1, 1, 1, 2, 1, 3, 10, 1, …)]

Period length 27 — the block in parentheses repeats forever.

Representations

In words
nine hundred sixty-six thousand two hundred twenty-one
Ordinal
966221st
Binary
11101011111001001101
Octal
3537115
Hexadecimal
0xEBE4D
Base64
Dr5N
One's complement
4,294,001,074 (32-bit)
Scientific notation
9.66221 × 10⁵
As a duration
966,221 s = 11 days, 4 hours, 23 minutes, 41 seconds
In other bases
ternary (3) 1211002101222
quaternary (4) 3223321031
quinary (5) 221404341
senary (6) 32413125
septenary (7) 11132654
nonary (9) 1732358
undecimal (11) 5aaa33
duodecimal (12) 3a71a5
tridecimal (13) 27aa39
tetradecimal (14) 1b219b
pentadecimal (15) 14144b

As an angle

966,221° = 2,683 × 360° + 341°
341° ≈ 5.952 rad
Compass bearing: NNW (north-northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓏺
Greek (Milesian)
͵ϡξϛσκαʹ
Chinese
九十六萬六千二百二十一
Chinese (financial)
玖拾陸萬陸仟貳佰貳拾壹
In other modern scripts
Eastern Arabic ٩٦٦٢٢١ Devanagari ९६६२२१ Bengali ৯৬৬২২১ Tamil ௯௬௬௨௨௧ Thai ๙๖๖๒๒๑ Tibetan ༩༦༦༢༢༡ Khmer ៩៦៦២២១ Lao ໙໖໖໒໒໑ Burmese ၉၆၆၂၂၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 966227.

Hex color
#0EBE4D
RGB(14, 190, 77)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.14.190.77.

Address
0.14.190.77
Class
reserved
IPv4-mapped IPv6
::ffff:0.14.190.77

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 966,221 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 966221 first appears in π at position 72,726 of the decimal expansion (the 72,726ordinal-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.