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1,053,401

1,053,401 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.).

1,053,401 (one million fifty-three thousand four hundred one) is an odd 7-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1012D9.

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

Interestingness

Properties

Parity
Odd
Digit count
7
Digit sum
14
Digit product
0
Digital root
5
Palindrome
No
Bit width
21 bits
Reversed
1,043,501
Square (n²)
1,109,653,666,801
Cube (n³)
1,168,910,282,261,840,201
Divisor count
2
σ(n) — sum of divisors
1,053,402
φ(n) — Euler's totient
1,053,400

Primality

1,053,401 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 1053401
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 1,053,401)
1 × 1053401
First multiples
1,053,401 · 2,106,802 (double) · 3,160,203 · 4,213,604 · 5,267,005 · 6,320,406 · 7,373,807 · 8,427,208 · 9,480,609 · 10,534,010

Sums & aliquot sequence

As a sum of two squares: 376² + 955²
As consecutive integers: 526,700 + 526,701

Continued fraction of √n

√1,053,401 = [1026; (2, 1, 4, 1, 10, 3, 1, 2, 14, 1, 2, 1, 2, 2, 5, 1, 119, 1, 9, 3, 10, 1, 5, 256, …)]

Representations

In words
one million fifty-three thousand four hundred one
Ordinal
1053401st
Binary
100000001001011011001
Octal
4011331
Hexadecimal
0x1012D9
Base64
EBLZ
One's complement
4,293,913,894 (32-bit)
Scientific notation
1.053401 × 10⁶
As a duration
1,053,401 s = 12 days, 4 hours, 36 minutes, 41 seconds
In other bases
ternary (3) 1222111222212
quaternary (4) 10001023121
quinary (5) 232202101
senary (6) 34324505
septenary (7) 11645066
nonary (9) 1874885
undecimal (11) 65a488
duodecimal (12) 429735
tridecimal (13) 2ab61b
tetradecimal (14) 1d5c6d
pentadecimal (15) 15c1bb

As an angle

1,053,401° = 2,926 × 360° + 41°
41° ≈ 0.716 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓏺
Chinese
一百零五萬三千四百零一
Chinese (financial)
壹佰零伍萬參仟肆佰零壹
In other modern scripts
Eastern Arabic ١٠٥٣٤٠١ Devanagari १०५३४०१ Bengali ১০৫৩৪০১ Tamil ௧௦௫௩௪௦௧ Thai ๑๐๕๓๔๐๑ Tibetan ༡༠༥༣༤༠༡ Khmer ១០៥៣៤០១ Lao ໑໐໕໓໔໐໑ Burmese ၁၀၅၃၄၀၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 1053407.

Hex color
#1012D9
RGB(16, 18, 217)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.18.217.

Address
0.16.18.217
Class
reserved
IPv4-mapped IPv6
::ffff:0.16.18.217

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

Possible date

Could be parsed as a date. Most likely interpretation: Monday, January 5, 3401 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 3401-05-01 (DMMYYYY (Euro, single-digit day))
  • 3401-10-05 (MMDYYYY (US, single-digit day))
  • 3401-05-10 (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 1,053,401 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.