Live analysis

997,008

997,008 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.).

997,008 (nine hundred ninety-seven thousand eight) is an even 6-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 3 × 20,771. Its proper divisors sum to 1,578,720, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF3690.

Abundant Number Evil Number Self Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

2 notable facts · grade F

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

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 33
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 20 bits
Reversed: 800,799
Square (n²): 994,024,952,064
Cube (n³): 991,050,829,407,424,512
Divisor count: 20
σ(n) — sum of divisors: 2,575,728
φ(n) — Euler's totient: 332,320
Sum of prime factors: 20,782

Primality

Prime factorization: 2 ⁴ × 3 × 20771

Nearest primes: 997,001 (−7) · 997,013 (+5)

Divisors & multiples

All divisors (20)

1 · 2 · 3 · 4 · 6 · 8 · 12 · 16 · 24 · 48 · 20771 · 41542 · 62313 · 83084 · 124626 · 166168 · 249252 · 332336 · 498504 (half) · 997008

Aliquot sum (sum of proper divisors): 1,578,720

Factor pairs (a × b = 997,008)

1 × 997008

2 × 498504

3 × 332336

4 × 249252

6 × 166168

8 × 124626

12 × 83084

16 × 62313

24 × 41542

48 × 20771

First multiples

997,008 · 1,994,016 (double) · 2,991,024 · 3,988,032 · 4,985,040 · 5,982,048 · 6,979,056 · 7,976,064 · 8,973,072 · 9,970,080

Sums & aliquot sequence

As consecutive integers: 332,335 + 332,336 + 332,337 31,141 + 31,142 + … + 31,172 10,338 + 10,339 + … + 10,433

Aliquot sequence: 997,008 → 1,578,720 → 4,517,664 → 7,341,456 → 11,624,096 → 13,342,048 → 13,033,280 → 20,712,652 → 15,534,496 → 15,159,104 → 16,694,020 → 23,371,964 → 27,622,084 → 28,608,986 → 20,942,950 → 24,455,930 → 19,652,134 — unresolved within range

Continued fraction of √n

√997,008 = [998; (1, 1, 86, 3, 15, 3, 1, 2, 2, 4, 6, 2, 1, 2, 1, 7, 13, 1, 5, 11, 1, 1, 1, 5, …)]

Representations

In words: nine hundred ninety-seven thousand eight
Ordinal: 997008th
Binary: 11110011011010010000
Octal: 3633220
Hexadecimal: 0xF3690
Base64: DzaQ
One's complement: 4,293,970,287 (32-bit)
Scientific notation: 9.97008 × 10⁵
As a duration: 997,008 s = 11 days, 12 hours, 56 minutes, 48 seconds

In other bases

ternary (3) 1212122122020

quaternary (4) 3303122100

quinary (5) 223401013

senary (6) 33211440

septenary (7) 11321505

nonary (9) 1778566

undecimal (11) 621081

duodecimal (12) 400b80

tridecimal (13) 28ba5c

tetradecimal (14) 1bd4ac

pentadecimal (15) 14a623

As an angle

997,008° = 2,769 × 360° + 168°

168° ≈ 2.932 rad

Compass bearing: SSE (south-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ϡϟζηʹ
Chinese: 九十九萬七千零八
Chinese (financial): 玖拾玖萬柒仟零捌

In other modern scripts

Eastern Arabic ٩٩٧٠٠٨ Devanagari ९९७००८ Bengali ৯৯৭০০৮ Tamil ௯௯௭௦௦௮ Thai ๙๙๗๐๐๘ Tibetan ༩༩༧༠༠༨ Khmer ៩៩៧០០៨ Lao ໙໙໗໐໐໘ Burmese ၉၉၇၀၀၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 997008, here are decompositions:

7 + 997001 = 997008
29 + 996979 = 997008
41 + 996967 = 997008
109 + 996899 = 997008
127 + 996881 = 997008
137 + 996871 = 997008
149 + 996859 = 997008
151 + 996857 = 997008

Showing the first eight; more decompositions exist.

Hex color

#0F3690

RGB(15, 54, 144)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.54.144.

Address: 0.15.54.144
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.54.144

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 997,008 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 US997,008 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 997008 first appears in π at position 339,849 of the decimal expansion (the 339,849ordinal-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 997008 on Pi Search ↗