Live analysis

996,006

996,006 is a composite number, even.

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.).

996,006 (nine hundred ninety-six thousand six) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2 × 3 × 11 × 15,091. Its proper divisors sum to 1,177,242, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF32A6.

Abundant Number Arithmetic Number Cube-Free Flippable Odious Number Pernicious Number Semiperfect Number Squarefree

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

995,994 995,995 995,996 995,997 995,998 995,999 996,000 996,001 996,002 996,003 996,004 996,005 996,006 996,007 996,008 996,009 996,010 996,011 996,012 996,013 996,014 996,015 996,016 996,017 996,018

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 30
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 20 bits
Reversed: 600,699
Flips to (rotate 180°): 900,966
Square (n²): 992,027,952,036
Cube (n³): 988,065,792,395,568,216
Divisor count: 16
σ(n) — sum of divisors: 2,173,248
φ(n) — Euler's totient: 301,800
Sum of prime factors: 15,107

Primality

Prime factorization: 2 × 3 × 11 × 15091

Nearest primes: 996,001 (−5) · 996,011 (+5)

Divisors & multiples

All divisors (16)

1 · 2 · 3 · 6 · 11 · 22 · 33 · 66 · 15091 · 30182 · 45273 · 90546 · 166001 · 332002 · 498003 (half) · 996006

Aliquot sum (sum of proper divisors): 1,177,242

Factor pairs (a × b = 996,006)

1 × 996006

2 × 498003

3 × 332002

6 × 166001

11 × 90546

22 × 45273

33 × 30182

66 × 15091

First multiples

996,006 · 1,992,012 (double) · 2,988,018 · 3,984,024 · 4,980,030 · 5,976,036 · 6,972,042 · 7,968,048 · 8,964,054 · 9,960,060

Sums & aliquot sequence

As consecutive integers: 332,001 + 332,002 + 332,003 249,000 + 249,001 + 249,002 + 249,003 90,541 + 90,542 + … + 90,551 82,995 + 82,996 + … + 83,006

Aliquot sequence: 996,006 → 1,177,242 → 1,391,430 → 1,948,074 → 2,043,606 → 2,043,618 → 2,186,190 → 3,694,410 → 6,241,626 → 7,390,278 → 12,944,982 → 13,007,130 → 18,210,054 → 18,210,066 → 26,014,638 → 30,334,578 → 31,103,502 — unresolved within range

Continued fraction of √n

√996,006 = [998; (998, 1996)]

Period length 2 — the block in parentheses repeats forever.

Representations

In words: nine hundred ninety-six thousand six
Ordinal: 996006th
Binary: 11110011001010100110
Octal: 3631246
Hexadecimal: 0xF32A6
Base64: DzKm
One's complement: 4,293,971,289 (32-bit)
Scientific notation: 9.96006 × 10⁵
As a duration: 996,006 s = 11 days, 12 hours, 40 minutes, 6 seconds

In other bases

ternary (3) 1212121021010

quaternary (4) 3303022212

quinary (5) 223333011

senary (6) 33203050

septenary (7) 11315544

nonary (9) 1777233

undecimal (11) 620350

duodecimal (12) 400486

tridecimal (13) 28b46b

tetradecimal (14) 1bcd94

pentadecimal (15) 14a1a6

As an angle

996,006° = 2,766 × 360° + 246°

246° ≈ 4.294 rad

Compass bearing: WSW (west-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ϡϟϛϛʹ
Chinese: 九十九萬六千零六
Chinese (financial): 玖拾玖萬陸仟零陸

In other modern scripts

Eastern Arabic ٩٩٦٠٠٦ Devanagari ९९६००६ Bengali ৯৯৬০০৬ Tamil ௯௯௬௦௦௬ Thai ๙๙๖๐๐๖ Tibetan ༩༩༦༠༠༦ Khmer ៩៩៦០០៦ Lao ໙໙໖໐໐໖ Burmese ၉၉၆၀၀၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 996006, here are decompositions:

5 + 996001 = 996006
17 + 995989 = 996006
19 + 995987 = 996006
23 + 995983 = 996006
47 + 995959 = 996006
79 + 995927 = 996006
97 + 995909 = 996006
103 + 995903 = 996006

Showing the first eight; more decompositions exist.

Hex color

#0F32A6

RGB(15, 50, 166)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.50.166.

Address: 0.15.50.166
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.50.166

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 996,006 and was likely granted around 1911.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Look up US996,006 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 996006 first appears in π at position 685,978 of the decimal expansion (the 685,978ordinal-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.

Look up 996006 on Pi Search ↗