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1,024,721

1,024,721 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.).

1,024,721 (one million twenty-four thousand seven hundred twenty-one) is an odd 7-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xFA2D1.

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

Interestingness

Properties

Parity
Odd
Digit count
7
Digit sum
17
Digit product
0
Digital root
8
Palindrome
No
Bit width
20 bits
Reversed
1,274,201
Square (n²)
1,050,053,127,841
Cube (n³)
1,076,011,491,214,357,361
Divisor count
2
σ(n) — sum of divisors
1,024,722
φ(n) — Euler's totient
1,024,720

Primality

1,024,721 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 1024721
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 1,024,721)
1 × 1024721
First multiples
1,024,721 · 2,049,442 (double) · 3,074,163 · 4,098,884 · 5,123,605 · 6,148,326 · 7,173,047 · 8,197,768 · 9,222,489 · 10,247,210

Sums & aliquot sequence

As a sum of two squares: 695² + 736²
As consecutive integers: 512,360 + 512,361

Continued fraction of √n

√1,024,721 = [1012; (3, 1, 1, 29, 1, 1, 1, 4, 1, 2, 1, 1, 2, 3, 1, 9, 9, 1, 1, 1, 2, 2, 6, 2, …)]

Representations

In words
one million twenty-four thousand seven hundred twenty-one
Ordinal
1024721st
Binary
11111010001011010001
Octal
3721321
Hexadecimal
0xFA2D1
Base64
D6LR
One's complement
4,293,942,574 (32-bit)
Scientific notation
1.024721 × 10⁶
As a duration
1,024,721 s = 11 days, 20 hours, 38 minutes, 41 seconds
In other bases
ternary (3) 1221001122122
quaternary (4) 3322023101
quinary (5) 230242341
senary (6) 33544025
septenary (7) 11465345
nonary (9) 1831578
undecimal (11) 63a985
duodecimal (12) 415015
tridecimal (13) 29b559
tetradecimal (14) 1c9625
pentadecimal (15) 15394b

As an angle

1,024,721° = 2,846 × 360° + 161°
161° ≈ 2.81 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺
Chinese
一百零二萬四千七百二十一
Chinese (financial)
壹佰零貳萬肆仟柒佰貳拾壹
In other modern scripts
Eastern Arabic ١٠٢٤٧٢١ Devanagari १०२४७२१ Bengali ১০২৪৭২১ Tamil ௧௦௨௪௭௨௧ Thai ๑๐๒๔๗๒๑ Tibetan ༡༠༢༤༧༢༡ Khmer ១០២៤៧២១ Lao ໑໐໒໔໗໒໑ Burmese ၁၀၂၄၇၂၁

Also seen as

Prime neighborhood

Adjacent primes:

Hex color
#0FA2D1
RGB(15, 162, 209)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.162.209.

Address
0.15.162.209
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.162.209

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

Possible date

Could be parsed as a date. Most likely interpretation: Sunday, January 2, 4721 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 4721-02-01 (DMMYYYY (Euro, single-digit day))
  • 4721-10-02 (MMDYYYY (US, single-digit day))
  • 4721-02-10 (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 1,024,721 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.