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1,024,729

1,024,729 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.).

1,024,729 (one million twenty-four thousand seven 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, 0xFA2D9.

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

Interestingness

Properties

Parity
Odd
Digit count
7
Digit sum
25
Digit product
0
Digital root
7
Palindrome
No
Bit width
20 bits
Reversed
9,274,201
Square (n²)
1,050,069,523,441
Cube (n³)
1,076,036,692,686,172,489
Divisor count
2
σ(n) — sum of divisors
1,024,730
φ(n) — Euler's totient
1,024,728

Primality

1,024,729 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 1024729
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 1,024,729)
1 × 1024729
First multiples
1,024,729 · 2,049,458 (double) · 3,074,187 · 4,098,916 · 5,123,645 · 6,148,374 · 7,173,103 · 8,197,832 · 9,222,561 · 10,247,290

Sums & aliquot sequence

As a sum of two squares: 355² + 948²
As consecutive integers: 512,364 + 512,365

Continued fraction of √n

√1,024,729 = [1012; (3, 2, 5, 1, 4, 44, 1, 3, 1, 1, 1, 2, 1, 2, 1, 1, 1, 5, 1, 1, 3, 1, 5, 1, …)]

Representations

In words
one million twenty-four thousand seven hundred twenty-nine
Ordinal
1024729th
Binary
11111010001011011001
Octal
3721331
Hexadecimal
0xFA2D9
Base64
D6LZ
One's complement
4,293,942,566 (32-bit)
Scientific notation
1.024729 × 10⁶
As a duration
1,024,729 s = 11 days, 20 hours, 38 minutes, 49 seconds
In other bases
ternary (3) 1221001122221
quaternary (4) 3322023121
quinary (5) 230242404
senary (6) 33544041
septenary (7) 11465356
nonary (9) 1831587
undecimal (11) 63a992
duodecimal (12) 415021
tridecimal (13) 29b564
tetradecimal (14) 1c962d
pentadecimal (15) 153954

As an angle

1,024,729° = 2,846 × 360° + 169°
169° ≈ 2.95 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese
一百零二萬四千七百二十九
Chinese (financial)
壹佰零貳萬肆仟柒佰貳拾玖
In other modern scripts
Eastern Arabic ١٠٢٤٧٢٩ Devanagari १०२४७२९ Bengali ১০২৪৭২৯ Tamil ௧௦௨௪௭௨௯ Thai ๑๐๒๔๗๒๙ Tibetan ༡༠༢༤༧༢༩ Khmer ១០២៤៧២៩ Lao ໑໐໒໔໗໒໙ Burmese ၁၀၂၄၇၂၉

Also seen as

Prime neighborhood

Adjacent primes:

Hex color
#0FA2D9
RGB(15, 162, 217)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.162.217.

Address
0.15.162.217
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.162.217

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

Possible date

Could be parsed as a date. Most likely interpretation: Wednesday, January 2, 4729 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 4729-02-01 (DMMYYYY (Euro, single-digit day))
  • 4729-10-02 (MMDYYYY (US, single-digit day))
  • 4729-02-10 (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 1,024,729 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.