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1,015,991

1,015,991 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.).

1,015,991 (one million fifteen thousand nine hundred ninety-one) is an odd 7-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xF80B7.

Arithmetic Number Chen Prime Cube-Free Deficient Number Happy Number Odious Number Pernicious Number Prime Recamán's Sequence Self Number Sophie Germain Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
7
Digit sum
26
Digit product
0
Digital root
8
Palindrome
No
Bit width
20 bits
Reversed
1,995,101
Recamán's sequence
a(366,009) = 1,015,991
Square (n²)
1,032,237,712,081
Cube (n³)
1,048,744,225,334,887,271
Divisor count
2
σ(n) — sum of divisors
1,015,992
φ(n) — Euler's totient
1,015,990

Primality

1,015,991 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 1015991
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 1,015,991)
1 × 1015991
First multiples
1,015,991 · 2,031,982 (double) · 3,047,973 · 4,063,964 · 5,079,955 · 6,095,946 · 7,111,937 · 8,127,928 · 9,143,919 · 10,159,910

Sums & aliquot sequence

As consecutive integers: 507,995 + 507,996

Continued fraction of √n

√1,015,991 = [1007; (1, 26, 1, 1, 1, 1, 1, 1, 9, 1, 182, 2, 1, 3, 2, 4, 4, 1, 7, 4, 2, 16, 4, 1, …)]

Representations

In words
one million fifteen thousand nine hundred ninety-one
Ordinal
1015991st
Binary
11111000000010110111
Octal
3700267
Hexadecimal
0xF80B7
Base64
D4C3
One's complement
4,293,951,304 (32-bit)
Scientific notation
1.015991 × 10⁶
As a duration
1,015,991 s = 11 days, 18 hours, 13 minutes, 11 seconds
In other bases
ternary (3) 1220121200022
quaternary (4) 3320002313
quinary (5) 230002431
senary (6) 33435355
septenary (7) 11431034
nonary (9) 1817608
undecimal (11) 634369
duodecimal (12) 40bb5b
tridecimal (13) 2975a2
tetradecimal (14) 1c638b
pentadecimal (15) 15107b

As an angle

1,015,991° = 2,822 × 360° + 71°
71° ≈ 1.239 rad
Compass bearing: ENE (east-northeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒁹𒁹𒁹 𒌋𒁹
Egyptian hieroglyphic
𓁨𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺
Chinese
一百零一萬五千九百九十一
Chinese (financial)
壹佰零壹萬伍仟玖佰玖拾壹
In other modern scripts
Eastern Arabic ١٠١٥٩٩١ Devanagari १०१५९९१ Bengali ১০১৫৯৯১ Tamil ௧௦௧௫௯௯௧ Thai ๑๐๑๕๙๙๑ Tibetan ༡༠༡༥༩༩༡ Khmer ១០១៥៩៩១ Lao ໑໐໑໕໙໙໑ Burmese ၁၀၁၅၉၉၁

Also seen as

Prime neighborhood

Adjacent primes:

Hex color
#0F80B7
RGB(15, 128, 183)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.128.183.

Address
0.15.128.183
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.128.183

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

Possible date

Could be parsed as a date. Most likely interpretation: Tuesday, January 1, 5991 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)
  • 5991-10-01 (MMDYYYY (US, single-digit day))
  • 5991-01-10 (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 1,015,991 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 1015991 first appears in π at position 766,366 of the decimal expansion (the 766,366ordinal-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.