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1,012,261

1,012,261 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.).

1,012,261 (one million twelve thousand two hundred sixty-one) is an odd 7-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xF7225.

Arithmetic Number Cube-Free Deficient Number Odious Number Pernicious Number Prime Pythagorean Prime Sexy Prime Squarefree Twin Prime

Interestingness

Properties

Parity
Odd
Digit count
7
Digit sum
13
Digit product
0
Digital root
4
Palindrome
No
Bit width
20 bits
Reversed
1,622,101
Square (n²)
1,024,672,332,121
Cube (n³)
1,037,235,839,585,135,581
Divisor count
2
σ(n) — sum of divisors
1,012,262
φ(n) — Euler's totient
1,012,260

Primality

1,012,261 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 1012261
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 1,012,261)
1 × 1012261
First multiples
1,012,261 · 2,024,522 (double) · 3,036,783 · 4,049,044 · 5,061,305 · 6,073,566 · 7,085,827 · 8,098,088 · 9,110,349 · 10,122,610

Sums & aliquot sequence

As a sum of two squares: 15² + 1,006²
As consecutive integers: 506,130 + 506,131

Continued fraction of √n

√1,012,261 = [1006; (8, 1, 16, 2, 5, 2, 3, 4, 1, 2, 8, 2, 7, 1, 3, 2, 4, 12, 1, 2, 15, 3, 1, 8, …)]

Representations

In words
one million twelve thousand two hundred sixty-one
Ordinal
1012261st
Binary
11110111001000100101
Octal
3671045
Hexadecimal
0xF7225
Base64
D3Il
One's complement
4,293,955,034 (32-bit)
Scientific notation
1.012261 × 10⁶
As a duration
1,012,261 s = 11 days, 17 hours, 11 minutes, 1 second
In other bases
ternary (3) 1220102120011
quaternary (4) 3313020211
quinary (5) 224343021
senary (6) 33410221
septenary (7) 11414125
nonary (9) 1812504
undecimal (11) 631588
duodecimal (12) 409971
tridecimal (13) 295993
tetradecimal (14) 1c4c85
pentadecimal (15) 14ede1

As an angle

1,012,261° = 2,811 × 360° + 301°
301° ≈ 5.253 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒁹 𒁹
Egyptian hieroglyphic
𓁨𓂍𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺
Chinese
一百零一萬二千二百六十一
Chinese (financial)
壹佰零壹萬貳仟貳佰陸拾壹
In other modern scripts
Eastern Arabic ١٠١٢٢٦١ Devanagari १०१२२६१ Bengali ১০১২২৬১ Tamil ௧௦௧௨௨௬௧ Thai ๑๐๑๒๒๖๑ Tibetan ༡༠༡༢༢༦༡ Khmer ១០១២២៦១ Lao ໑໐໑໒໒໖໑ Burmese ၁၀၁၂၂၆၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 1012259, sexy with 1012267.

Hex color
#0F7225
RGB(15, 114, 37)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.114.37.

Address
0.15.114.37
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.114.37

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

Possible date

Could be parsed as a date. Most likely interpretation: Tuesday, January 1, 2261 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)
  • 2261-10-01 (MMDYYYY (US, single-digit day))
  • 2261-01-10 (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 1,012,261 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 1012261 first appears in π at position 598,088 of the decimal expansion (the 598,088ordinal-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.