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1,053,029

1,053,029 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.).

1,053,029 (one million fifty-three thousand twenty-nine) is an odd 7-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x101165.

Arithmetic Number Cube-Free Deficient Number Odious Number Pernicious Number Prime Pythagorean Prime Self Number Sophie Germain 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
9,203,501
Square (n²)
1,108,870,074,841
Cube (n³)
1,167,672,346,039,743,389
Divisor count
2
σ(n) — sum of divisors
1,053,030
φ(n) — Euler's totient
1,053,028

Primality

1,053,029 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 1053029
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 1,053,029)
1 × 1053029
First multiples
1,053,029 · 2,106,058 (double) · 3,159,087 · 4,212,116 · 5,265,145 · 6,318,174 · 7,371,203 · 8,424,232 · 9,477,261 · 10,530,290

Sums & aliquot sequence

As a sum of two squares: 502² + 895²
As consecutive integers: 526,514 + 526,515

Continued fraction of √n

√1,053,029 = [1026; (5, 1, 4, 2, 1, 3, 6, 1, 3, 8, 6, 1, 1, 3, 2, 2, 26, 1, 1, 2, 6, 1, 2, 2, …)]

Representations

In words
one million fifty-three thousand twenty-nine
Ordinal
1053029th
Binary
100000001000101100101
Octal
4010545
Hexadecimal
0x101165
Base64
EBFl
One's complement
4,293,914,266 (32-bit)
Scientific notation
1.053029 × 10⁶
As a duration
1,053,029 s = 12 days, 4 hours, 30 minutes, 29 seconds
In other bases
ternary (3) 1222111111002
quaternary (4) 10001011211
quinary (5) 232144104
senary (6) 34323045
septenary (7) 11644025
nonary (9) 1874432
undecimal (11) 65a17a
duodecimal (12) 429485
tridecimal (13) 2ab3c3
tetradecimal (14) 1d5a85
pentadecimal (15) 15c01e

As an angle

1,053,029° = 2,925 × 360° + 29°
29° ≈ 0.506 rad
Compass bearing: NNE (north-northeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese
一百零五萬三千零二十九
Chinese (financial)
壹佰零伍萬參仟零貳拾玖
In other modern scripts
Eastern Arabic ١٠٥٣٠٢٩ Devanagari १०५३०२९ Bengali ১০৫৩০২৯ Tamil ௧௦௫௩௦௨௯ Thai ๑๐๕๓๐๒๙ Tibetan ༡༠༥༣༠༢༩ Khmer ១០៥៣០២៩ Lao ໑໐໕໓໐໒໙ Burmese ၁၀၅၃၀၂၉

Also seen as

Prime neighborhood

Adjacent primes:

Hex color
#101165
RGB(16, 17, 101)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.17.101.

Address
0.16.17.101
Class
reserved
IPv4-mapped IPv6
::ffff:0.16.17.101

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

Possible date

Could be parsed as a date. Most likely interpretation: Monday, January 5, 3029 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 3029-05-01 (DMMYYYY (Euro, single-digit day))
  • 3029-10-05 (MMDYYYY (US, single-digit day))
  • 3029-05-10 (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 1,053,029 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 1053029 first appears in π at position 194,212 of the decimal expansion (the 194,212ordinal-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.