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1,013,429

1,013,429 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.).

1,013,429 (one million thirteen thousand four hundred twenty-nine) is an odd 7-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xF76B5.

Arithmetic Number Chen Prime Cube-Free Deficient Number Evil Number Prime Pythagorean Prime Self Number Squarefree Twin Prime

Interestingness

Properties

Parity
Odd
Digit count
7
Digit sum
20
Digit product
0
Digital root
2
Palindrome
No
Bit width
20 bits
Reversed
9,243,101
Square (n²)
1,027,038,338,041
Cube (n³)
1,040,830,435,882,552,589
Divisor count
2
σ(n) — sum of divisors
1,013,430
φ(n) — Euler's totient
1,013,428

Primality

1,013,429 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 1013429
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 1,013,429)
1 × 1013429
First multiples
1,013,429 · 2,026,858 (double) · 3,040,287 · 4,053,716 · 5,067,145 · 6,080,574 · 7,094,003 · 8,107,432 · 9,120,861 · 10,134,290

Sums & aliquot sequence

As a sum of two squares: 455² + 898²
As consecutive integers: 506,714 + 506,715

Continued fraction of √n

√1,013,429 = [1006; (1, 2, 4, 29, 2, 1, 1, 1, 4, 1, 9, 1, 1, 1, 1, 3, 2, 12, 15, 17, 3, 2, 3, 1, …)]

Representations

In words
one million thirteen thousand four hundred twenty-nine
Ordinal
1013429th
Binary
11110111011010110101
Octal
3673265
Hexadecimal
0xF76B5
Base64
D3a1
One's complement
4,293,953,866 (32-bit)
Scientific notation
1.013429 × 10⁶
As a duration
1,013,429 s = 11 days, 17 hours, 30 minutes, 29 seconds
In other bases
ternary (3) 1220111011102
quaternary (4) 3313122311
quinary (5) 224412204
senary (6) 33415445
septenary (7) 11420414
nonary (9) 1814142
undecimal (11) 63244a
duodecimal (12) 40a585
tridecimal (13) 296381
tetradecimal (14) 1c547b
pentadecimal (15) 15041e

As an angle

1,013,429° = 2,815 × 360° + 29°
29° ≈ 0.506 rad
Compass bearing: NNE (north-northeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese
一百零一萬三千四百二十九
Chinese (financial)
壹佰零壹萬參仟肆佰貳拾玖
In other modern scripts
Eastern Arabic ١٠١٣٤٢٩ Devanagari १०१३४२९ Bengali ১০১৩৪২৯ Tamil ௧௦௧௩௪௨௯ Thai ๑๐๑๓๔๒๙ Tibetan ༡༠༡༣༤༢༩ Khmer ១០១៣៤២៩ Lao ໑໐໑໓໔໒໙ Burmese ၁၀၁၃၄၂၉

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 1013431.

Hex color
#0F76B5
RGB(15, 118, 181)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.118.181.

Address
0.15.118.181
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.118.181

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

Possible date

Could be parsed as a date. Most likely interpretation: Thursday, January 1, 3429 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)
  • 3429-10-01 (MMDYYYY (US, single-digit day))
  • 3429-01-10 (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 1,013,429 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 1013429 first appears in π at position 39,719 of the decimal expansion (the 39,719ordinal-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.