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1,013,197

1,013,197 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.).

1,013,197 (one million thirteen thousand one hundred ninety-seven) is an odd 7-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xF75CD.

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

Interestingness

Properties

Parity
Odd
Digit count
7
Digit sum
22
Digit product
0
Digital root
4
Palindrome
No
Bit width
20 bits
Reversed
7,913,101
Square (n²)
1,026,568,160,809
Cube (n³)
1,040,115,780,827,196,373
Divisor count
2
σ(n) — sum of divisors
1,013,198
φ(n) — Euler's totient
1,013,196

Primality

1,013,197 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 1013197
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 1,013,197)
1 × 1013197
First multiples
1,013,197 · 2,026,394 (double) · 3,039,591 · 4,052,788 · 5,065,985 · 6,079,182 · 7,092,379 · 8,105,576 · 9,118,773 · 10,131,970

Sums & aliquot sequence

As a sum of two squares: 234² + 979²
As consecutive integers: 506,598 + 506,599

Continued fraction of √n

√1,013,197 = [1006; (1, 1, 2, 1, 3, 28, 1, 9, 1, 2, 1, 7, 1, 1, 38, 5, 2, 3, 17, 15, 3, 4, 2, 1, …)]

Representations

In words
one million thirteen thousand one hundred ninety-seven
Ordinal
1013197th
Binary
11110111010111001101
Octal
3672715
Hexadecimal
0xF75CD
Base64
D3XN
One's complement
4,293,954,098 (32-bit)
Scientific notation
1.013197 × 10⁶
As a duration
1,013,197 s = 11 days, 17 hours, 26 minutes, 37 seconds
In other bases
ternary (3) 1220110211211
quaternary (4) 3313113031
quinary (5) 224410242
senary (6) 33414421
septenary (7) 11416633
nonary (9) 1813754
undecimal (11) 632259
duodecimal (12) 40a411
tridecimal (13) 296233
tetradecimal (14) 1c5353
pentadecimal (15) 150317

As an angle

1,013,197° = 2,814 × 360° + 157°
157° ≈ 2.74 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese
一百零一萬三千一百九十七
Chinese (financial)
壹佰零壹萬參仟壹佰玖拾柒
In other modern scripts
Eastern Arabic ١٠١٣١٩٧ Devanagari १०१३१९७ Bengali ১০১৩১৯৭ Tamil ௧௦௧௩௧௯௭ Thai ๑๐๑๓๑๙๗ Tibetan ༡༠༡༣༡༩༧ Khmer ១០១៣១៩៧ Lao ໑໐໑໓໑໙໗ Burmese ၁၀၁၃၁၉၇

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 1013203.

Hex color
#0F75CD
RGB(15, 117, 205)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.117.205.

Address
0.15.117.205
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.117.205

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Possible date

Could be parsed as a date. Most likely interpretation: Wednesday, January 1, 3197 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)
  • 3197-10-01 (MMDYYYY (US, single-digit day))
  • 3197-01-10 (DDMYYYY (Euro, single-digit month))
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 1,013,197 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 1013197 first appears in π at position 208,356 of the decimal expansion (the 208,356ordinal-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.