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997,141

997,141 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.).

997,141 (nine hundred ninety-seven thousand one hundred forty-one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xF3715.

Arithmetic Number Cube-Free Deficient Number Evil Number Prime Pythagorean Prime Sexy Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
31
Digit product
2,268
Digital root
4
Palindrome
No
Bit width
20 bits
Reversed
141,799
Square (n²)
994,290,173,881
Cube (n³)
991,447,498,273,874,221
Divisor count
2
σ(n) — sum of divisors
997,142
φ(n) — Euler's totient
997,140

Primality

997,141 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 997141
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 997,141)
1 × 997141
First multiples
997,141 · 1,994,282 (double) · 2,991,423 · 3,988,564 · 4,985,705 · 5,982,846 · 6,979,987 · 7,977,128 · 8,974,269 · 9,971,410

Sums & aliquot sequence

As a sum of two squares: 295² + 954²
As consecutive integers: 498,570 + 498,571

Continued fraction of √n

√997,141 = [998; (1, 1, 3, 10, 5, 1, 6, 2, 1, 2, 13, 1, 3, 1, 3, 1, 3, 1, 1, 1, 1, 1, 1, 2, …)]

Representations

In words
nine hundred ninety-seven thousand one hundred forty-one
Ordinal
997141st
Binary
11110011011100010101
Octal
3633425
Hexadecimal
0xF3715
Base64
DzcV
One's complement
4,293,970,154 (32-bit)
Scientific notation
9.97141 × 10⁵
As a duration
997,141 s = 11 days, 12 hours, 59 minutes, 1 second
In other bases
ternary (3) 1212122211011
quaternary (4) 3303130111
quinary (5) 223402031
senary (6) 33212221
septenary (7) 11322055
nonary (9) 1778734
undecimal (11) 621192
duodecimal (12) 401071
tridecimal (13) 28bb32
tetradecimal (14) 1bd565
pentadecimal (15) 14a6b1

As an angle

997,141° = 2,769 × 360° + 301°
301° ≈ 5.253 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓏺
Greek (Milesian)
͵ϡϟζρμαʹ
Chinese
九十九萬七千一百四十一
Chinese (financial)
玖拾玖萬柒仟壹佰肆拾壹
In other modern scripts
Eastern Arabic ٩٩٧١٤١ Devanagari ९९७१४१ Bengali ৯৯৭১৪১ Tamil ௯௯௭௧௪௧ Thai ๙๙๗๑๔๑ Tibetan ༩༩༧༡༤༡ Khmer ៩៩៧១៤១ Lao ໙໙໗໑໔໑ Burmese ၉၉၇၁၄၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 997147.

Hex color
#0F3715
RGB(15, 55, 21)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.55.21.

Address
0.15.55.21
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.55.21

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 997,141 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 997141 first appears in π at position 204,137 of the decimal expansion (the 204,137ordinal-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.