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1,013,029

1,013,029 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.).

1,013,029 (one million thirteen 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, 0xF7525.

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

Interestingness

Properties

Parity
Odd
Digit count
7
Digit sum
16
Digit product
0
Digital root
7
Palindrome
No
Bit width
20 bits
Reversed
9,203,101
Square (n²)
1,026,227,754,841
Cube (n³)
1,039,598,476,258,823,389
Divisor count
2
σ(n) — sum of divisors
1,013,030
φ(n) — Euler's totient
1,013,028

Primality

1,013,029 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 1013029
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 1,013,029)
1 × 1013029
First multiples
1,013,029 · 2,026,058 (double) · 3,039,087 · 4,052,116 · 5,065,145 · 6,078,174 · 7,091,203 · 8,104,232 · 9,117,261 · 10,130,290

Sums & aliquot sequence

As a sum of two squares: 95² + 1,002²
As consecutive integers: 506,514 + 506,515

Continued fraction of √n

√1,013,029 = [1006; (2, 37, 2, 12, 1, 1, 1, 32, 1, 8, 4, 1, 1, 15, 19, 1, 6, 2, 10, 1, 3, 1, 1, 7, …)]

Representations

In words
one million thirteen thousand twenty-nine
Ordinal
1013029th
Binary
11110111010100100101
Octal
3672445
Hexadecimal
0xF7525
Base64
D3Ul
One's complement
4,293,954,266 (32-bit)
Scientific notation
1.013029 × 10⁶
As a duration
1,013,029 s = 11 days, 17 hours, 23 minutes, 49 seconds
In other bases
ternary (3) 1220110121121
quaternary (4) 3313110211
quinary (5) 224404104
senary (6) 33413541
septenary (7) 11416303
nonary (9) 1813547
undecimal (11) 632116
duodecimal (12) 40a2b1
tridecimal (13) 296134
tetradecimal (14) 1c5273
pentadecimal (15) 150254

As an angle

1,013,029° = 2,813 × 360° + 349°
349° ≈ 6.091 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓆼𓆼𓆼𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese
一百零一萬三千零二十九
Chinese (financial)
壹佰零壹萬參仟零貳拾玖
In other modern scripts
Eastern Arabic ١٠١٣٠٢٩ Devanagari १०१३०२९ Bengali ১০১৩০২৯ Tamil ௧௦௧௩௦௨௯ Thai ๑๐๑๓๐๒๙ Tibetan ༡༠༡༣༠༢༩ Khmer ១០១៣០២៩ Lao ໑໐໑໓໐໒໙ Burmese ၁၀၁၃၀၂၉

Also seen as

Prime neighborhood

Adjacent primes:

Hex color
#0F7525
RGB(15, 117, 37)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.117.37.

Address
0.15.117.37
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.117.37

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

Possible date

Could be parsed as a date. Most likely interpretation: Thursday, January 1, 3029 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)
  • 3029-10-01 (MMDYYYY (US, single-digit day))
  • 3029-01-10 (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 1,013,029 and was likely granted around 1911.

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

Position in π

The digit sequence 1013029 first appears in π at position 847,393 of the decimal expansion (the 847,393ordinal-suffix:rd 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.