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997,001

997,001 is a prime, odd.

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.).

997,001 (nine hundred ninety-seven thousand one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xF3689.

Arithmetic Number Cube-Free Deficient Number Emirp Odious Number Pernicious Number Prime Pythagorean Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
26
Digit product
0
Digital root
8
Palindrome
No
Bit width
20 bits
Reversed
100,799
Square (n²)
994,010,994,001
Cube (n³)
991,029,955,029,991,001
Divisor count
2
σ(n) — sum of divisors
997,002
φ(n) — Euler's totient
997,000

Primality

997,001 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 997001
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 997,001)
1 × 997001
First multiples
997,001 · 1,994,002 (double) · 2,991,003 · 3,988,004 · 4,985,005 · 5,982,006 · 6,979,007 · 7,976,008 · 8,973,009 · 9,970,010

Sums & aliquot sequence

As a sum of two squares: 376² + 925²
As consecutive integers: 498,500 + 498,501

Continued fraction of √n

√997,001 = [998; (2, 398, 1, 8, 1, 78, 1, 48, 1, 14, 1, 248, 1, 2, 5, 49, 1, 2, 1, 4, 4, 9, 1, 2, …)]

Representations

In words
nine hundred ninety-seven thousand one
Ordinal
997001st
Binary
11110011011010001001
Octal
3633211
Hexadecimal
0xF3689
Base64
DzaJ
One's complement
4,293,970,294 (32-bit)
Scientific notation
9.97001 × 10⁵
As a duration
997,001 s = 11 days, 12 hours, 56 minutes, 41 seconds
In other bases
ternary (3) 1212122121222
quaternary (4) 3303122021
quinary (5) 223401001
senary (6) 33211425
septenary (7) 11321465
nonary (9) 1778558
undecimal (11) 621075
duodecimal (12) 400b75
tridecimal (13) 28ba55
tetradecimal (14) 1bd4a5
pentadecimal (15) 14a61b

As an angle

997,001° = 2,769 × 360° + 161°
161° ≈ 2.81 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓏺
Greek (Milesian)
͵ϡϟζαʹ
Chinese
九十九萬七千零一
Chinese (financial)
玖拾玖萬柒仟零壹
In other modern scripts
Eastern Arabic ٩٩٧٠٠١ Devanagari ९९७००१ Bengali ৯৯৭০০১ Tamil ௯௯௭௦௦௧ Thai ๙๙๗๐๐๑ Tibetan ༩༩༧༠༠༡ Khmer ៩៩៧០០១ Lao ໙໙໗໐໐໑ Burmese ၉၉၇၀၀၁

Also seen as

Prime neighborhood

Adjacent primes:

Hex color
#0F3689
RGB(15, 54, 137)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.54.137.

Address
0.15.54.137
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.54.137

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 997,001 and was likely granted around 1911.

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

Position in π

The digit sequence 997001 first appears in π at position 481,876 of the decimal expansion (the 481,876ordinal-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.

Related reading

  • Prime numbers — The building blocks of arithmetic: what primes are, why they matter, and how we find them.
  • Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.