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988,409

988,409 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.).

988,409 (nine hundred eighty-eight thousand four hundred nine) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xF14F9.

Arithmetic Number Chen Prime Cube-Free Deficient Number Evil Number Prime Pythagorean Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
38
Digit product
0
Digital root
2
Palindrome
No
Bit width
20 bits
Reversed
904,889
Square (n²)
976,952,351,281
Cube (n³)
965,628,496,577,301,929
Divisor count
2
σ(n) — sum of divisors
988,410
φ(n) — Euler's totient
988,408

Primality

988,409 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 988409
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 988,409)
1 × 988409
First multiples
988,409 · 1,976,818 (double) · 2,965,227 · 3,953,636 · 4,942,045 · 5,930,454 · 6,918,863 · 7,907,272 · 8,895,681 · 9,884,090

Sums & aliquot sequence

As a sum of two squares: 472² + 875²
As consecutive integers: 494,204 + 494,205

Continued fraction of √n

√988,409 = [994; (5, 3, 35, 1, 5, 4, 6, 1, 6, 4, 1, 2, 53, 2, 1, 1, 1, 1, 4, 2, 5, 3, 25, 1, …)]

Representations

In words
nine hundred eighty-eight thousand four hundred nine
Ordinal
988409th
Binary
11110001010011111001
Octal
3612371
Hexadecimal
0xF14F9
Base64
DxT5
One's complement
4,293,978,886 (32-bit)
Scientific notation
9.88409 × 10⁵
As a duration
988,409 s = 11 days, 10 hours, 33 minutes, 29 seconds
In other bases
ternary (3) 1212012211202
quaternary (4) 3301103321
quinary (5) 223112114
senary (6) 33103545
septenary (7) 11254442
nonary (9) 1765752
undecimal (11) 615674
duodecimal (12) 3b7bb5
tridecimal (13) 287b76
tetradecimal (14) 1ba2c9
pentadecimal (15) 147cde

As an angle

988,409° = 2,745 × 360° + 209°
209° ≈ 3.648 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ϡπηυθʹ
Chinese
九十八萬八千四百零九
Chinese (financial)
玖拾捌萬捌仟肆佰零玖
In other modern scripts
Eastern Arabic ٩٨٨٤٠٩ Devanagari ९८८४०९ Bengali ৯৮৮৪০৯ Tamil ௯௮௮௪௦௯ Thai ๙๘๘๔๐๙ Tibetan ༩༨༨༤༠༩ Khmer ៩៨៨៤០៩ Lao ໙໘໘໔໐໙ Burmese ၉၈၈၄၀၉

Also seen as

Prime neighborhood

Adjacent primes:

Hex color
#0F14F9
RGB(15, 20, 249)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.20.249.

Address
0.15.20.249
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.20.249

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 988,409 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 988409 first appears in π at position 888,967 of the decimal expansion (the 888,967ordinal-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.