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996,601

996,601 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.).

996,601 (nine hundred ninety-six thousand six hundred one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xF34F9.

Arithmetic Number Chen Prime Cube-Free Deficient Number Emirp Flippable Odious Number Pernicious Number Prime Pythagorean Prime Squarefree Twin Prime

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
31
Digit product
0
Digital root
4
Palindrome
No
Bit width
20 bits
Reversed
106,699
Flips to (rotate 180°)
109,966
Square (n²)
993,213,553,201
Cube (n³)
989,837,620,333,669,801
Divisor count
2
σ(n) — sum of divisors
996,602
φ(n) — Euler's totient
996,600

Primality

996,601 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 996601
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 996,601)
1 × 996601
First multiples
996,601 · 1,993,202 (double) · 2,989,803 · 3,986,404 · 4,983,005 · 5,979,606 · 6,976,207 · 7,972,808 · 8,969,409 · 9,966,010

Sums & aliquot sequence

As a sum of two squares: 660² + 749²
As consecutive integers: 498,300 + 498,301

Continued fraction of √n

√996,601 = [998; (3, 2, 1, 9, 1, 6, 2, 1, 4, 1, 3, 7, 3, 1, 1, 1, 82, 1, 1, 4, 8, 2, 2, 1, …)]

Representations

In words
nine hundred ninety-six thousand six hundred one
Ordinal
996601st
Binary
11110011010011111001
Octal
3632371
Hexadecimal
0xF34F9
Base64
DzT5
One's complement
4,293,970,694 (32-bit)
Scientific notation
9.96601 × 10⁵
As a duration
996,601 s = 11 days, 12 hours, 50 minutes, 1 second
In other bases
ternary (3) 1212122002011
quaternary (4) 3303103321
quinary (5) 223342401
senary (6) 33205521
septenary (7) 11320354
nonary (9) 1778064
undecimal (11) 620841
duodecimal (12) 4008a1
tridecimal (13) 28b808
tetradecimal (14) 1bd29b
pentadecimal (15) 14a451

As an angle

996,601° = 2,768 × 360° + 121°
121° ≈ 2.112 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋 𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓏺
Greek (Milesian)
͵ϡϟϛχαʹ
Chinese
九十九萬六千六百零一
Chinese (financial)
玖拾玖萬陸仟陸佰零壹
In other modern scripts
Eastern Arabic ٩٩٦٦٠١ Devanagari ९९६६०१ Bengali ৯৯৬৬০১ Tamil ௯௯௬௬௦௧ Thai ๙๙๖๖๐๑ Tibetan ༩༩༦༦༠༡ Khmer ៩៩៦៦០១ Lao ໙໙໖໖໐໑ Burmese ၉၉၆၆၀၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 996599.

Hex color
#0F34F9
RGB(15, 52, 249)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.52.249.

Address
0.15.52.249
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.52.249

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 996,601 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 996601 first appears in π at position 149,663 of the decimal expansion (the 149,663ordinal-suffix:rd 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.