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988,313

988,313 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.).

988,313 (nine hundred eighty-eight thousand three hundred thirteen) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xF1499.

Arithmetic Number Cube-Free Deficient Number Emirp Evil Number Prime Pythagorean Prime Self Number Sexy Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
32
Digit product
5,184
Digital root
5
Palindrome
No
Bit width
20 bits
Reversed
313,889
Square (n²)
976,762,585,969
Cube (n³)
965,347,161,626,780,297
Divisor count
2
σ(n) — sum of divisors
988,314
φ(n) — Euler's totient
988,312

Primality

988,313 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 988313
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 988,313)
1 × 988313
First multiples
988,313 · 1,976,626 (double) · 2,964,939 · 3,953,252 · 4,941,565 · 5,929,878 · 6,918,191 · 7,906,504 · 8,894,817 · 9,883,130

Sums & aliquot sequence

As a sum of two squares: 677² + 728²
As consecutive integers: 494,156 + 494,157

Continued fraction of √n

√988,313 = [994; (7, 5, 1, 1, 1, 3, 12, 13, 3, 1, 4, 5, 1, 1, 2, 2, 1, 1, 5, 4, 1, 3, 13, 12, …)]

Period length 31 — the block in parentheses repeats forever.

Representations

In words
nine hundred eighty-eight thousand three hundred thirteen
Ordinal
988313th
Binary
11110001010010011001
Octal
3612231
Hexadecimal
0xF1499
Base64
DxSZ
One's complement
4,293,978,982 (32-bit)
Scientific notation
9.88313 × 10⁵
As a duration
988,313 s = 11 days, 10 hours, 31 minutes, 53 seconds
In other bases
ternary (3) 1212012201012
quaternary (4) 3301102121
quinary (5) 223111223
senary (6) 33103305
septenary (7) 11254244
nonary (9) 1765635
undecimal (11) 615597
duodecimal (12) 3b7b35
tridecimal (13) 287b01
tetradecimal (14) 1ba25b
pentadecimal (15) 147c78

As an angle

988,313° = 2,745 × 360° + 113°
113° ≈ 1.972 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ϡπητιγʹ
Chinese
九十八萬八千三百一十三
Chinese (financial)
玖拾捌萬捌仟參佰壹拾參
In other modern scripts
Eastern Arabic ٩٨٨٣١٣ Devanagari ९८८३१३ Bengali ৯৮৮৩১৩ Tamil ௯௮௮௩௧௩ Thai ๙๘๘๓๑๓ Tibetan ༩༨༨༣༡༣ Khmer ៩៨៨៣១៣ Lao ໙໘໘໓໑໓ Burmese ၉၈၈၃၁၃

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 988319.

Hex color
#0F1499
RGB(15, 20, 153)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.20.153.

Address
0.15.20.153
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.20.153

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 988,313 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 988313 first appears in π at position 737,291 of the decimal expansion (the 737,291ordinal-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.