Live analysis

996,008

996,008 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.).

996,008 (nine hundred ninety-six thousand eight) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2³ × 13 × 61 × 157. Its proper divisors sum to 1,061,152, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF32A8.

Abundant Number Evil Number Flippable Happy Number Practical Number Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

995,996 995,997 995,998 995,999 996,000 996,001 996,002 996,003 996,004 996,005 996,006 996,007 996,008 996,009 996,010 996,011 996,012 996,013 996,014 996,015 996,016 996,017 996,018 996,019 996,020

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 32
Digit product: 0
Digital root: 5
Palindrome: No
Bit width: 20 bits
Reversed: 800,699
Flips to (rotate 180°): 800,966
Square (n²): 992,031,936,064
Cube (n³): 988,071,744,575,232,512
Divisor count: 32
σ(n) — sum of divisors: 2,057,160
φ(n) — Euler's totient: 449,280
Sum of prime factors: 237

Primality

Prime factorization: 2 ³ × 13 × 61 × 157

Nearest primes: 996,001 (−7) · 996,011 (+3)

Divisors & multiples

All divisors (32)

1 · 2 · 4 · 8 · 13 · 26 · 52 · 61 · 104 · 122 · 157 · 244 · 314 · 488 · 628 · 793 · 1256 · 1586 · 2041 · 3172 · 4082 · 6344 · 8164 · 9577 · 16328 · 19154 · 38308 · 76616 · 124501 · 249002 · 498004 (half) · 996008

Aliquot sum (sum of proper divisors): 1,061,152

Factor pairs (a × b = 996,008)

1 × 996008

2 × 498004

4 × 249002

8 × 124501

13 × 76616

26 × 38308

52 × 19154

61 × 16328

104 × 9577

122 × 8164

157 × 6344

244 × 4082

314 × 3172

488 × 2041

628 × 1586

793 × 1256

First multiples

996,008 · 1,992,016 (double) · 2,988,024 · 3,984,032 · 4,980,040 · 5,976,048 · 6,972,056 · 7,968,064 · 8,964,072 · 9,960,080

Sums & aliquot sequence

As a sum of two squares: 2² + 998² = 178² + 982² = 382² + 922² = 542² + 838²

As consecutive integers: 76,610 + 76,611 + … + 76,622 62,243 + 62,244 + … + 62,258 16,298 + 16,299 + … + 16,358 6,266 + 6,267 + … + 6,422

Aliquot sequence: 996,008 → 1,061,152 → 1,028,054 → 581,146 → 294,554 → 181,306 → 92,474 → 46,240 → 69,806 → 51,154 → 25,580 → 28,180 → 31,040 → 43,636 → 32,734 → 20,186 → 10,096 — unresolved within range

Continued fraction of √n

√996,008 = [998; (499, 1996)]

Period length 2 — the block in parentheses repeats forever.

Representations

In words: nine hundred ninety-six thousand eight
Ordinal: 996008th
Binary: 11110011001010101000
Octal: 3631250
Hexadecimal: 0xF32A8
Base64: DzKo
One's complement: 4,293,971,287 (32-bit)
Scientific notation: 9.96008 × 10⁵
As a duration: 996,008 s = 11 days, 12 hours, 40 minutes, 8 seconds

In other bases

ternary (3) 1212121021012

quaternary (4) 3303022220

quinary (5) 223333013

senary (6) 33203052

septenary (7) 11315546

nonary (9) 1777235

undecimal (11) 620352

duodecimal (12) 400488

tridecimal (13) 28b470

tetradecimal (14) 1bcd96

pentadecimal (15) 14a1a8

As an angle

996,008° = 2,766 × 360° + 248°

248° ≈ 4.328 rad

Compass bearing: WSW (west-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ϡϟϛηʹ
Chinese: 九十九萬六千零八
Chinese (financial): 玖拾玖萬陸仟零捌

In other modern scripts

Eastern Arabic ٩٩٦٠٠٨ Devanagari ९९६००८ Bengali ৯৯৬০০৮ Tamil ௯௯௬௦௦௮ Thai ๙๙๖๐๐๘ Tibetan ༩༩༦༠༠༨ Khmer ៩៩៦០០៨ Lao ໙໙໖໐໐໘ Burmese ၉၉၆၀၀၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 996008, here are decompositions:

7 + 996001 = 996008
19 + 995989 = 996008
67 + 995941 = 996008
127 + 995881 = 996008
271 + 995737 = 996008
331 + 995677 = 996008
367 + 995641 = 996008
397 + 995611 = 996008

Showing the first eight; more decompositions exist.

Hex color

#0F32A8

RGB(15, 50, 168)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.50.168.

Address: 0.15.50.168
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.50.168

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 996,008 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 US996,008 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 996008 first appears in π at position 735,486 of the decimal expansion (the 735,486ordinal-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 996008 on Pi Search ↗