Live analysis

966,006

966,006 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.).

966,006 (nine hundred sixty-six thousand six) is an even 6-digit number. It is a composite number with 40 divisors, and factors as 2 × 3⁴ × 67 × 89. Its proper divisors sum to 1,255,554, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xEBD76.

Abundant Number Arithmetic Number Evil Number Flippable Harshad / Niven Practical Number Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

965,994 965,995 965,996 965,997 965,998 965,999 966,000 966,001 966,002 966,003 966,004 966,005 966,006 966,007 966,008 966,009 966,010 966,011 966,012 966,013 966,014 966,015 966,016 966,017 966,018

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 27
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 20 bits
Reversed: 600,669
Flips to (rotate 180°): 900,996
Square (n²): 933,167,592,036
Cube (n³): 901,445,492,912,328,216
Divisor count: 40
σ(n) — sum of divisors: 2,221,560
φ(n) — Euler's totient: 313,632
Sum of prime factors: 170

Primality

Prime factorization: 2 × 3 ⁴ × 67 × 89

Nearest primes: 965,989 (−17) · 966,011 (+5)

Divisors & multiples

All divisors (40)

1 · 2 · 3 · 6 · 9 · 18 · 27 · 54 · 67 · 81 · 89 · 134 · 162 · 178 · 201 · 267 · 402 · 534 · 603 · 801 · 1206 · 1602 · 1809 · 2403 · 3618 · 4806 · 5427 · 5963 · 7209 · 10854 · 11926 · 14418 · 17889 · 35778 · 53667 · 107334 · 161001 · 322002 · 483003 (half) · 966006

Aliquot sum (sum of proper divisors): 1,255,554

Factor pairs (a × b = 966,006)

1 × 966006

2 × 483003

3 × 322002

6 × 161001

9 × 107334

18 × 53667

27 × 35778

54 × 17889

67 × 14418

81 × 11926

89 × 10854

134 × 7209

162 × 5963

178 × 5427

201 × 4806

267 × 3618

402 × 2403

534 × 1809

603 × 1602

801 × 1206

First multiples

966,006 · 1,932,012 (double) · 2,898,018 · 3,864,024 · 4,830,030 · 5,796,036 · 6,762,042 · 7,728,048 · 8,694,054 · 9,660,060

Sums & aliquot sequence

As consecutive integers: 322,001 + 322,002 + 322,003 241,500 + 241,501 + 241,502 + 241,503 107,330 + 107,331 + … + 107,338 80,495 + 80,496 + … + 80,506

Aliquot sequence: 966,006 → 1,255,554 → 1,534,686 → 1,733,922 → 2,022,948 → 3,222,012 → 4,296,044 → 3,397,180 → 3,736,940 → 4,881,460 → 5,621,396 → 5,174,284 → 4,051,940 → 4,905,820 → 5,396,444 → 4,458,100 → 5,328,600 — unresolved within range

Continued fraction of √n

√966,006 = [982; (1, 5, 1, 17, 1, 2, 5, 21, 1, 1, 1, 8, 13, 2, 1, 6, 1, 2, 1, 7, 1, 195, 1, 2, …)]

Representations

In words: nine hundred sixty-six thousand six
Ordinal: 966006th
Binary: 11101011110101110110
Octal: 3536566
Hexadecimal: 0xEBD76
Base64: Dr12
One's complement: 4,294,001,289 (32-bit)
Scientific notation: 9.66006 × 10⁵
As a duration: 966,006 s = 11 days, 4 hours, 20 minutes, 6 seconds

In other bases

ternary (3) 1211002010000

quaternary (4) 3223311312

quinary (5) 221403011

senary (6) 32412130

septenary (7) 11132226

nonary (9) 1732100

undecimal (11) 5aa858

duodecimal (12) 3a7046

tridecimal (13) 27a902

tetradecimal (14) 1b2086

pentadecimal (15) 141356

As an angle

966,006° = 2,683 × 360° + 126°

126° ≈ 2.199 rad

Compass bearing: SE (southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋 𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ϡξϛϛʹ
Chinese: 九十六萬六千零六
Chinese (financial): 玖拾陸萬陸仟零陸

In other modern scripts

Eastern Arabic ٩٦٦٠٠٦ Devanagari ९६६००६ Bengali ৯৬৬০০৬ Tamil ௯௬௬௦௦௬ Thai ๙๖๖๐๐๖ Tibetan ༩༦༦༠༠༦ Khmer ៩៦៦០០៦ Lao ໙໖໖໐໐໖ Burmese ၉၆၆၀၀၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 966006, here are decompositions:

17 + 965989 = 966006
23 + 965983 = 966006
37 + 965969 = 966006
43 + 965963 = 966006
53 + 965953 = 966006
79 + 965927 = 966006
113 + 965893 = 966006
149 + 965857 = 966006

Showing the first eight; more decompositions exist.

Hex color

#0EBD76

RGB(14, 189, 118)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.14.189.118.

Address: 0.14.189.118
Class: reserved
IPv4-mapped IPv6: ::ffff:0.14.189.118

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 966,006 and was likely granted around 1910.

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

Look up US966,006 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 966006 first appears in π at position 287,235 of the decimal expansion (the 287,235ordinal-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 966006 on Pi Search ↗