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1,053,461

1,053,461 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.).

1,053,461 (one million fifty-three thousand four 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, 0x101315.

Arithmetic Number Chen Prime Cube-Free Deficient Number Emirp 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
21 bits
Reversed
1,643,501
Square (n²)
1,109,780,078,521
Cube (n³)
1,169,110,031,298,811,181
Divisor count
2
σ(n) — sum of divisors
1,053,462
φ(n) — Euler's totient
1,053,460

Primality

1,053,461 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 1053461
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 1,053,461)
1 × 1053461
First multiples
1,053,461 · 2,106,922 (double) · 3,160,383 · 4,213,844 · 5,267,305 · 6,320,766 · 7,374,227 · 8,427,688 · 9,481,149 · 10,534,610

Sums & aliquot sequence

As a sum of two squares: 706² + 745²
As consecutive integers: 526,730 + 526,731

Continued fraction of √n

√1,053,461 = [1026; (2, 1, 1, 1, 1, 2, 6, 3, 3, 2, 10, 1, 1, 1, 20, 1, 19, 1, 1, 2, 1, 7, 1, 4, …)]

Representations

In words
one million fifty-three thousand four hundred sixty-one
Ordinal
1053461st
Binary
100000001001100010101
Octal
4011425
Hexadecimal
0x101315
Base64
EBMV
One's complement
4,293,913,834 (32-bit)
Scientific notation
1.053461 × 10⁶
As a duration
1,053,461 s = 12 days, 4 hours, 37 minutes, 41 seconds
In other bases
ternary (3) 1222112002002
quaternary (4) 10001030111
quinary (5) 232202321
senary (6) 34325045
septenary (7) 11645213
nonary (9) 1875062
undecimal (11) 65a532
duodecimal (12) 429785
tridecimal (13) 2ab666
tetradecimal (14) 1d5cb3
pentadecimal (15) 15c20b

As an angle

1,053,461° = 2,926 × 360° + 101°
101° ≈ 1.763 rad
Compass bearing: E (east)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺
Chinese
一百零五萬三千四百六十一
Chinese (financial)
壹佰零伍萬參仟肆佰陸拾壹
In other modern scripts
Eastern Arabic ١٠٥٣٤٦١ Devanagari १०५३४६१ Bengali ১০৫৩৪৬১ Tamil ௧௦௫௩௪௬௧ Thai ๑๐๕๓๔๖๑ Tibetan ༡༠༥༣༤༦༡ Khmer ១០៥៣៤៦១ Lao ໑໐໕໓໔໖໑ Burmese ၁၀၅၃၄၆၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 1053467.

Hex color
#101315
RGB(16, 19, 21)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.19.21.

Address
0.16.19.21
Class
reserved
IPv4-mapped IPv6
::ffff:0.16.19.21

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

Possible date

Could be parsed as a date. Most likely interpretation: Saturday, January 5, 3461 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 3461-05-01 (DMMYYYY (Euro, single-digit day))
  • 3461-10-05 (MMDYYYY (US, single-digit day))
  • 3461-05-10 (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 1,053,461 and was likely granted around 1912.

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

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.