Live analysis

997,000

997,000 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.).

997,000 (nine hundred ninety-seven thousand) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2³ × 5³ × 997. Its proper divisors sum to 1,338,320, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF3688.

Abundant Number Evil Number Harshad / Niven Practical Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

996,988 996,989 996,990 996,991 996,992 996,993 996,994 996,995 996,996 996,997 996,998 996,999 997,000 997,001 997,002 997,003 997,004 997,005 997,006 997,007 997,008 997,009 997,010 997,011 997,012

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 25
Digit product: 0
Digital root: 7
Palindrome: No
Bit width: 20 bits
Reversed: 799
Square (n²): 994,009,000,000
Cube (n³): 991,026,973,000,000,000
Divisor count: 32
σ(n) — sum of divisors: 2,335,320
φ(n) — Euler's totient: 398,400
Sum of prime factors: 1,018

Primality

Prime factorization: 2 ³ × 5 ³ × 997

Nearest primes: 996,979 (−21) · 997,001 (+1)

Divisors & multiples

All divisors (32)

1 · 2 · 4 · 5 · 8 · 10 · 20 · 25 · 40 · 50 · 100 · 125 · 200 · 250 · 500 · 997 · 1000 · 1994 · 3988 · 4985 · 7976 · 9970 · 19940 · 24925 · 39880 · 49850 · 99700 · 124625 · 199400 · 249250 · 498500 (half) · 997000

Aliquot sum (sum of proper divisors): 1,338,320

Factor pairs (a × b = 997,000)

1 × 997000

2 × 498500

4 × 249250

5 × 199400

8 × 124625

10 × 99700

20 × 49850

25 × 39880

40 × 24925

50 × 19940

100 × 9970

125 × 7976

200 × 4985

250 × 3988

500 × 1994

997 × 1000

First multiples

997,000 · 1,994,000 (double) · 2,991,000 · 3,988,000 · 4,985,000 · 5,982,000 · 6,979,000 · 7,976,000 · 8,973,000 · 9,970,000

Sums & aliquot sequence

As a sum of two squares: 130² + 990² = 402² + 914² = 490² + 870² = 698² + 714²

As consecutive integers: 199,398 + 199,399 + 199,400 + 199,401 + 199,402 62,305 + 62,306 + … + 62,320 39,868 + 39,869 + … + 39,892 12,423 + 12,424 + … + 12,502

Aliquot sequence: 997,000 → 1,338,320 → 1,773,460 → 2,460,140 → 2,706,196 → 2,326,762 → 1,182,230 → 1,249,930 → 1,225,466 → 819,622 → 474,578 → 292,090 → 233,690 → 186,970 → 197,798 → 98,902 → 49,454 — unresolved within range

Continued fraction of √n

√997,000 = [998; (2, 221, 2, 1, 1, 2, 1, 23, 1, 13, 1, 2, 1, 1, 1, 2, 9, 1, 1, 1, 9, 1, 1, 7, …)]

Representations

In words: nine hundred ninety-seven thousand
Ordinal: 997000th
Binary: 11110011011010001000
Octal: 3633210
Hexadecimal: 0xF3688
Base64: DzaI
One's complement: 4,293,970,295 (32-bit)
Scientific notation: 9.97 × 10⁵
As a duration: 997,000 s = 11 days, 12 hours, 56 minutes, 40 seconds

In other bases

ternary (3) 1212122121221

quaternary (4) 3303122020

quinary (5) 223401000

senary (6) 33211424

septenary (7) 11321464

nonary (9) 1778557

undecimal (11) 621074

duodecimal (12) 400b74

tridecimal (13) 28ba54

tetradecimal (14) 1bd4a4

pentadecimal (15) 14a61a

As an angle

997,000° = 2,769 × 360° + 160°

160° ≈ 2.793 rad

Compass bearing: SSE (south-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼
Greek (Milesian): ͵ϡϟζ
Chinese: 九十九萬七千
Chinese (financial): 玖拾玖萬柒仟

In other modern scripts

Eastern Arabic ٩٩٧٠٠٠ Devanagari ९९७००० Bengali ৯৯৭০০০ Tamil ௯௯௭௦௦௦ Thai ๙๙๗๐๐๐ Tibetan ༩༩༧༠༠༠ Khmer ៩៩៧០០០ Lao ໙໙໗໐໐໐ Burmese ၉၉၇၀၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 997000, here are decompositions:

47 + 996953 = 997000
101 + 996899 = 997000
113 + 996887 = 997000
197 + 996803 = 997000
311 + 996689 = 997000
353 + 996647 = 997000
383 + 996617 = 997000
401 + 996599 = 997000

Showing the first eight; more decompositions exist.

Hex color

#0F3688

RGB(15, 54, 136)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.54.136.

Address: 0.15.54.136
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.54.136

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 997,000 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 US997,000 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 997000 first appears in π at position 535,901 of the decimal expansion (the 535,901ordinal-suffix:st 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 997000 on Pi Search ↗