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1,041,077

1,041,077 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.).

1,041,077 (one million forty-one thousand seventy-seven) is an odd 7-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xFE2B5.

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

Interestingness

Properties

Parity
Odd
Digit count
7
Digit sum
20
Digit product
0
Digital root
2
Palindrome
No
Bit width
20 bits
Reversed
7,701,401
Square (n²)
1,083,841,319,929
Cube (n³)
1,128,362,269,827,723,533
Divisor count
2
σ(n) — sum of divisors
1,041,078
φ(n) — Euler's totient
1,041,076

Primality

1,041,077 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 1041077
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 1,041,077)
1 × 1041077
First multiples
1,041,077 · 2,082,154 (double) · 3,123,231 · 4,164,308 · 5,205,385 · 6,246,462 · 7,287,539 · 8,328,616 · 9,369,693 · 10,410,770

Sums & aliquot sequence

As a sum of two squares: 599² + 826²
As consecutive integers: 520,538 + 520,539

Continued fraction of √n

√1,041,077 = [1020; (3, 72, 1, 1, 4, 1, 3, 10, 6, 1, 2, 6, 1, 5, 11, 1, 2, 3, 1, 3, 4, 2, 7, 1, …)]

Representations

In words
one million forty-one thousand seventy-seven
Ordinal
1041077th
Binary
11111110001010110101
Octal
3761265
Hexadecimal
0xFE2B5
Base64
D+K1
One's complement
4,293,926,218 (32-bit)
Scientific notation
1.041077 × 10⁶
As a duration
1,041,077 s = 12 days, 1 hour, 11 minutes, 17 seconds
In other bases
ternary (3) 1221220002102
quaternary (4) 3332022311
quinary (5) 231303302
senary (6) 34151445
septenary (7) 11564132
nonary (9) 1856072
undecimal (11) 6511a4
duodecimal (12) 422585
tridecimal (13) 2a5b2b
tetradecimal (14) 1d1589
pentadecimal (15) 158702

As an angle

1,041,077° = 2,891 × 360° + 317°
317° ≈ 5.533 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese
一百零四萬一千零七十七
Chinese (financial)
壹佰零肆萬壹仟零柒拾柒
In other modern scripts
Eastern Arabic ١٠٤١٠٧٧ Devanagari १०४१०७७ Bengali ১০৪১০৭৭ Tamil ௧௦௪௧௦௭௭ Thai ๑๐๔๑๐๗๗ Tibetan ༡༠༤༡༠༧༧ Khmer ១០៤១០៧៧ Lao ໑໐໔໑໐໗໗ Burmese ၁၀၄၁၀၇၇

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 1041083.

Hex color
#0FE2B5
RGB(15, 226, 181)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.226.181.

Address
0.15.226.181
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.226.181

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

Possible date

Could be parsed as a date. Most likely interpretation: Thursday, January 4, 1077 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 1077-04-01 (DMMYYYY (Euro, single-digit day))
  • 1077-10-04 (MMDYYYY (US, single-digit day))
  • 1077-04-10 (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 1,041,077 and was likely granted around 1912.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Position in π

The digit sequence 1041077 first appears in π at position 830,020 of the decimal expansion (the 830,020ordinal-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.