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1,053,749

1,053,749 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.).

1,053,749 (one million fifty-three thousand seven hundred forty-nine) is an odd 7-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x101435.

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

Interestingness

Properties

Parity
Odd
Digit count
7
Digit sum
29
Digit product
0
Digital root
2
Palindrome
No
Bit width
21 bits
Reversed
9,473,501
Square (n²)
1,110,386,955,001
Cube (n³)
1,170,069,143,445,348,749
Divisor count
2
σ(n) — sum of divisors
1,053,750
φ(n) — Euler's totient
1,053,748

Primality

1,053,749 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 1053749
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 1,053,749)
1 × 1053749
First multiples
1,053,749 · 2,107,498 (double) · 3,161,247 · 4,214,996 · 5,268,745 · 6,322,494 · 7,376,243 · 8,429,992 · 9,483,741 · 10,537,490

Sums & aliquot sequence

As a sum of two squares: 665² + 782²
As consecutive integers: 526,874 + 526,875

Continued fraction of √n

√1,053,749 = [1026; (1, 1, 10, 2, 11, 3, 1, 13, 2, 2, 10, 1, 2, 3, 1, 1, 1, 2, 5, 2, 2, 8, 1, 12, …)]

Representations

In words
one million fifty-three thousand seven hundred forty-nine
Ordinal
1053749th
Binary
100000001010000110101
Octal
4012065
Hexadecimal
0x101435
Base64
EBQ1
One's complement
4,293,913,546 (32-bit)
Scientific notation
1.053749 × 10⁶
As a duration
1,053,749 s = 12 days, 4 hours, 42 minutes, 29 seconds
In other bases
ternary (3) 1222112110202
quaternary (4) 10001100311
quinary (5) 232204444
senary (6) 34330245
septenary (7) 11646104
nonary (9) 1875422
undecimal (11) 65a774
duodecimal (12) 429985
tridecimal (13) 2ab828
tetradecimal (14) 1d603b
pentadecimal (15) 15c34e

As an angle

1,053,749° = 2,927 × 360° + 29°
29° ≈ 0.506 rad
Compass bearing: NNE (north-northeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese
一百零五萬三千七百四十九
Chinese (financial)
壹佰零伍萬參仟柒佰肆拾玖
In other modern scripts
Eastern Arabic ١٠٥٣٧٤٩ Devanagari १०५३७४९ Bengali ১০৫৩৭৪৯ Tamil ௧௦௫௩௭௪௯ Thai ๑๐๕๓๗๔๙ Tibetan ༡༠༥༣༧༤༩ Khmer ១០៥៣៧៤៩ Lao ໑໐໕໓໗໔໙ Burmese ၁၀၅၃၇၄၉

Also seen as

Prime neighborhood

Adjacent primes:

Hex color
#101435
RGB(16, 20, 53)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.20.53.

Address
0.16.20.53
Class
reserved
IPv4-mapped IPv6
::ffff:0.16.20.53

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

Possible date

Could be parsed as a date. Most likely interpretation: Sunday, January 5, 3749 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 3749-05-01 (DMMYYYY (Euro, single-digit day))
  • 3749-10-05 (MMDYYYY (US, single-digit day))
  • 3749-05-10 (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 1,053,749 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 1053749 first appears in π at position 64,956 of the decimal expansion (the 64,956ordinal-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.