number.wiki
Live analysis

988,321

988,321 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.).

988,321 (nine hundred eighty-eight thousand three 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, 0xF14A1.

Arithmetic Number Cube-Free Deficient Number Odious Number Prime Pythagorean Prime Squarefree Twin Prime

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
31
Digit product
3,456
Digital root
4
Palindrome
No
Bit width
20 bits
Reversed
123,889
Square (n²)
976,778,399,041
Cube (n³)
965,370,604,118,600,161
Divisor count
2
σ(n) — sum of divisors
988,322
φ(n) — Euler's totient
988,320

Primality

988,321 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 988321
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 988,321)
1 × 988321
First multiples
988,321 · 1,976,642 (double) · 2,964,963 · 3,953,284 · 4,941,605 · 5,929,926 · 6,918,247 · 7,906,568 · 8,894,889 · 9,883,210

Sums & aliquot sequence

As a sum of two squares: 335² + 936²
As consecutive integers: 494,160 + 494,161

Continued fraction of √n

√988,321 = [994; (6, 1, 40, 1, 1, 3, 3, 6, 1, 2, 1, 1, 2, 3, 5, 1, 15, 15, 2, 1, 6, 48, 2, 1, …)]

Representations

In words
nine hundred eighty-eight thousand three hundred twenty-one
Ordinal
988321st
Binary
11110001010010100001
Octal
3612241
Hexadecimal
0xF14A1
Base64
DxSh
One's complement
4,293,978,974 (32-bit)
Scientific notation
9.88321 × 10⁵
As a duration
988,321 s = 11 days, 10 hours, 32 minutes, 1 second
In other bases
ternary (3) 1212012201111
quaternary (4) 3301102201
quinary (5) 223111241
senary (6) 33103321
septenary (7) 11254255
nonary (9) 1765644
undecimal (11) 6155a4
duodecimal (12) 3b7b41
tridecimal (13) 287b09
tetradecimal (14) 1ba265
pentadecimal (15) 147c81

As an angle

988,321° = 2,745 × 360° + 121°
121° ≈ 2.112 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹 𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓏺
Greek (Milesian)
͵ϡπητκαʹ
Chinese
九十八萬八千三百二十一
Chinese (financial)
玖拾捌萬捌仟參佰貳拾壹
In other modern scripts
Eastern Arabic ٩٨٨٣٢١ Devanagari ९८८३२१ Bengali ৯৮৮৩২১ Tamil ௯௮௮௩௨௧ Thai ๙๘๘๓๒๑ Tibetan ༩༨༨༣༢༡ Khmer ៩៨៨៣២១ Lao ໙໘໘໓໒໑ Burmese ၉၈၈၃၂၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 988319.

Hex color
#0F14A1
RGB(15, 20, 161)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.20.161.

Address
0.15.20.161
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.20.161

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 988,321 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 988321 first appears in π at position 35,322 of the decimal expansion (the 35,322ordinal-suffix:nd 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.