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997,201

997,201 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.).

997,201 (nine hundred ninety-seven thousand two hundred one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xF3751.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
28
Digit product
0
Digital root
1
Palindrome
No
Bit width
20 bits
Reversed
102,799
Square (n²)
994,409,834,401
Cube (n³)
991,626,481,274,511,601
Divisor count
2
σ(n) — sum of divisors
997,202
φ(n) — Euler's totient
997,200

Primality

997,201 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 997201
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 997,201)
1 × 997201
First multiples
997,201 · 1,994,402 (double) · 2,991,603 · 3,988,804 · 4,986,005 · 5,983,206 · 6,980,407 · 7,977,608 · 8,974,809 · 9,972,010

Sums & aliquot sequence

As a sum of two squares: 676² + 735²
As consecutive integers: 498,600 + 498,601

Continued fraction of √n

√997,201 = [998; (1, 1, 2, 82, 1, 4, 2, 4, 1, 13, 18, 1, 18, 2, 3, 1, 6, 2, 1, 4, 3, 2, 1, 5, …)]

Representations

In words
nine hundred ninety-seven thousand two hundred one
Ordinal
997201st
Binary
11110011011101010001
Octal
3633521
Hexadecimal
0xF3751
Base64
DzdR
One's complement
4,293,970,094 (32-bit)
Scientific notation
9.97201 × 10⁵
As a duration
997,201 s = 11 days, 13 hours, 1 second
In other bases
ternary (3) 1212122220101
quaternary (4) 3303131101
quinary (5) 223402301
senary (6) 33212401
septenary (7) 11322202
nonary (9) 1778811
undecimal (11) 621237
duodecimal (12) 401101
tridecimal (13) 28bb7a
tetradecimal (14) 1bd5a9
pentadecimal (15) 14a701

As an angle

997,201° = 2,770 × 360° + 1°
1° ≈ 0.017 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 · 𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓏺
Greek (Milesian)
͵ϡϟζσαʹ
Chinese
九十九萬七千二百零一
Chinese (financial)
玖拾玖萬柒仟貳佰零壹
In other modern scripts
Eastern Arabic ٩٩٧٢٠١ Devanagari ९९७२०१ Bengali ৯৯৭২০১ Tamil ௯௯௭௨௦௧ Thai ๙๙๗๒๐๑ Tibetan ༩༩༧༢༠༡ Khmer ៩៩៧២០១ Lao ໙໙໗໒໐໑ Burmese ၉၉၇၂၀၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 997207.

Hex color
#0F3751
RGB(15, 55, 81)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.55.81.

Address
0.15.55.81
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.55.81

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 997,201 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 997201 first appears in π at position 150,492 of the decimal expansion (the 150,492ordinal-suffix:nd 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.