Live analysis

997,002

997,002 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.).

997,002 (nine hundred ninety-seven thousand two) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2 × 3³ × 37 × 499. Its proper divisors sum to 1,282,998, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF368A.

Abundant Number Arithmetic Number Harshad / Niven Odious Number Pernicious Number Practical Number Pronic / Oblong Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

996,990 996,991 996,992 996,993 996,994 996,995 996,996 996,997 996,998 996,999 997,000 997,001 997,002 997,003 997,004 997,005 997,006 997,007 997,008 997,009 997,010 997,011 997,012 997,013 997,014

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 27
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 20 bits
Reversed: 200,799
Square (n²): 994,012,988,004
Cube (n³): 991,032,937,065,964,008
Divisor count: 32
σ(n) — sum of divisors: 2,280,000
φ(n) — Euler's totient: 322,704
Sum of prime factors: 547

Primality

Prime factorization: 2 × 3 ³ × 37 × 499

Nearest primes: 997,001 (−1) · 997,013 (+11)

Divisors & multiples

All divisors (32)

1 · 2 · 3 · 6 · 9 · 18 · 27 · 37 · 54 · 74 · 111 · 222 · 333 · 499 · 666 · 998 · 999 · 1497 · 1998 · 2994 · 4491 · 8982 · 13473 · 18463 · 26946 · 36926 · 55389 · 110778 · 166167 · 332334 · 498501 (half) · 997002

Aliquot sum (sum of proper divisors): 1,282,998

Factor pairs (a × b = 997,002)

1 × 997002

2 × 498501

3 × 332334

6 × 166167

9 × 110778

18 × 55389

27 × 36926

37 × 26946

54 × 18463

74 × 13473

111 × 8982

222 × 4491

333 × 2994

499 × 1998

666 × 1497

998 × 999

First multiples

997,002 · 1,994,004 (double) · 2,991,006 · 3,988,008 · 4,985,010 · 5,982,012 · 6,979,014 · 7,976,016 · 8,973,018 · 9,970,020

Sums & aliquot sequence

As consecutive integers: 332,333 + 332,334 + 332,335 249,249 + 249,250 + 249,251 + 249,252 110,774 + 110,775 + … + 110,782 83,078 + 83,079 + … + 83,089

Aliquot sequence: 997,002 → 1,282,998 → 1,283,010 → 1,796,286 → 1,840,578 → 1,840,590 → 3,369,330 → 5,616,270 → 11,525,490 → 22,481,550 → 55,659,282 → 72,831,342 → 73,007,970 → 128,269,470 → 227,560,290 → 325,503,390 → 460,691,970 — unresolved within range

Continued fraction of √n

√997,002 = [998; (2, 1996)]

Period length 2 — the block in parentheses repeats forever.

Representations

In words: nine hundred ninety-seven thousand two
Ordinal: 997002nd
Binary: 11110011011010001010
Octal: 3633212
Hexadecimal: 0xF368A
Base64: DzaK
One's complement: 4,293,970,293 (32-bit)
Scientific notation: 9.97002 × 10⁵
As a duration: 997,002 s = 11 days, 12 hours, 56 minutes, 42 seconds

In other bases

ternary (3) 1212122122000

quaternary (4) 3303122022

quinary (5) 223401002

senary (6) 33211430

septenary (7) 11321466

nonary (9) 1778560

undecimal (11) 621076

duodecimal (12) 400b76

tridecimal (13) 28ba56

tetradecimal (14) 1bd4a6

pentadecimal (15) 14a61c

As an angle

997,002° = 2,769 × 360° + 162°

162° ≈ 2.827 rad

Compass bearing: SSE (south-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓏺𓏺
Greek (Milesian): ͵ϡϟζβʹ
Chinese: 九十九萬七千零二
Chinese (financial): 玖拾玖萬柒仟零貳

In other modern scripts

Eastern Arabic ٩٩٧٠٠٢ Devanagari ९९७००२ Bengali ৯৯৭০০২ Tamil ௯௯௭௦௦௨ Thai ๙๙๗๐๐๒ Tibetan ༩༩༧༠༠༢ Khmer ៩៩៧០០២ Lao ໙໙໗໐໐໒ Burmese ၉၉၇၀၀၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 997002, here are decompositions:

23 + 996979 = 997002
29 + 996973 = 997002
103 + 996899 = 997002
131 + 996871 = 997002
191 + 996811 = 997002
199 + 996803 = 997002
239 + 996763 = 997002
263 + 996739 = 997002

Showing the first eight; more decompositions exist.

Hex color

#0F368A

RGB(15, 54, 138)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.54.138.

Address: 0.15.54.138
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.54.138

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 997,002 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 US997,002 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 997002 first appears in π at position 459,923 of the decimal expansion (the 459,923ordinal-suffix:rd 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 997002 on Pi Search ↗