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996,409

996,409 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.).

996,409 (nine hundred ninety-six 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, 0xF3439.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
37
Digit product
0
Digital root
1
Palindrome
No
Bit width
20 bits
Reversed
904,699
Square (n²)
992,830,895,281
Cube (n³)
989,265,639,536,045,929
Divisor count
2
σ(n) — sum of divisors
996,410
φ(n) — Euler's totient
996,408

Primality

996,409 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 996409
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 996,409)
1 × 996409
First multiples
996,409 · 1,992,818 (double) · 2,989,227 · 3,985,636 · 4,982,045 · 5,978,454 · 6,974,863 · 7,971,272 · 8,967,681 · 9,964,090

Sums & aliquot sequence

As a sum of two squares: 597² + 800²
As consecutive integers: 498,204 + 498,205

Continued fraction of √n

√996,409 = [998; (4, 1, 13, 15, 1, 1, 1, 5, 16, 2, 5, 1, 3, 16, 2, 1, 1, 1, 8, 1, 1, 1, 1, 1, …)]

Representations

In words
nine hundred ninety-six thousand four hundred nine
Ordinal
996409th
Binary
11110011010000111001
Octal
3632071
Hexadecimal
0xF3439
Base64
DzQ5
One's complement
4,293,970,886 (32-bit)
Scientific notation
9.96409 × 10⁵
As a duration
996,409 s = 11 days, 12 hours, 46 minutes, 49 seconds
In other bases
ternary (3) 1212121211001
quaternary (4) 3303100321
quinary (5) 223341114
senary (6) 33205001
septenary (7) 11316661
nonary (9) 1777731
undecimal (11) 620687
duodecimal (12) 400761
tridecimal (13) 28b6bb
tetradecimal (14) 1bd1a1
pentadecimal (15) 14a374

As an angle

996,409° = 2,767 × 360° + 289°
289° ≈ 5.044 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ϡϟϛυθʹ
Chinese
九十九萬六千四百零九
Chinese (financial)
玖拾玖萬陸仟肆佰零玖
In other modern scripts
Eastern Arabic ٩٩٦٤٠٩ Devanagari ९९६४०९ Bengali ৯৯৬৪০৯ Tamil ௯௯௬௪௦௯ Thai ๙๙๖๔๐๙ Tibetan ༩༩༦༤༠༩ Khmer ៩៩៦៤០៩ Lao ໙໙໖໔໐໙ Burmese ၉၉၆၄၀၉

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 996407.

Hex color
#0F3439
RGB(15, 52, 57)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.52.57.

Address
0.15.52.57
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.52.57

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 996,409 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 996409 first appears in π at position 10,949 of the decimal expansion (the 10,949ordinal-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.