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988,213

988,213 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.).

988,213 (nine hundred eighty-eight thousand two hundred thirteen) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xF1435.

Arithmetic Number Cousin Prime Cube-Free Deficient Number Evil Number Prime Pythagorean Prime Sexy Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
31
Digit product
3,456
Digital root
4
Palindrome
No
Bit width
20 bits
Reversed
312,889
Square (n²)
976,564,933,369
Cube (n³)
965,054,162,499,379,597
Divisor count
2
σ(n) — sum of divisors
988,214
φ(n) — Euler's totient
988,212

Primality

988,213 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 988213
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 988,213)
1 × 988213
First multiples
988,213 · 1,976,426 (double) · 2,964,639 · 3,952,852 · 4,941,065 · 5,929,278 · 6,917,491 · 7,905,704 · 8,893,917 · 9,882,130

Sums & aliquot sequence

As a sum of two squares: 678² + 727²
As consecutive integers: 494,106 + 494,107

Continued fraction of √n

√988,213 = [994; (11, 4, 3, 4, 220, 1, 2, 10, 1, 8, 1, 7, 2, 24, 13, 3, 3, 3, 1, 1, 7, 1, 4, 1, …)]

Representations

In words
nine hundred eighty-eight thousand two hundred thirteen
Ordinal
988213th
Binary
11110001010000110101
Octal
3612065
Hexadecimal
0xF1435
Base64
DxQ1
One's complement
4,293,979,082 (32-bit)
Scientific notation
9.88213 × 10⁵
As a duration
988,213 s = 11 days, 10 hours, 30 minutes, 13 seconds
In other bases
ternary (3) 1212012120111
quaternary (4) 3301100311
quinary (5) 223110323
senary (6) 33103021
septenary (7) 11254042
nonary (9) 1765514
undecimal (11) 615506
duodecimal (12) 3b7a71
tridecimal (13) 287a55
tetradecimal (14) 1ba1c9
pentadecimal (15) 147c0d

As an angle

988,213° = 2,745 × 360° + 13°
13° ≈ 0.227 rad
Compass bearing: NNE (north-northeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋 𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ϡπησιγʹ
Chinese
九十八萬八千二百一十三
Chinese (financial)
玖拾捌萬捌仟貳佰壹拾參
In other modern scripts
Eastern Arabic ٩٨٨٢١٣ Devanagari ९८८२१३ Bengali ৯৮৮২১৩ Tamil ௯௮௮௨௧௩ Thai ๙๘๘๒๑๓ Tibetan ༩༨༨༢༡༣ Khmer ៩៨៨២១៣ Lao ໙໘໘໒໑໓ Burmese ၉၈၈၂၁၃

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: cousin with 988217.

Hex color
#0F1435
RGB(15, 20, 53)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.20.53.

Address
0.15.20.53
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.20.53

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 988,213 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 988213 first appears in π at position 163,269 of the decimal expansion (the 163,269ordinal-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.