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1,024,609

1,024,609 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.).

1,024,609 (one million twenty-four thousand six hundred nine) is an odd 7-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xFA261.

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

Interestingness

Properties

Parity
Odd
Digit count
7
Digit sum
22
Digit product
0
Digital root
4
Palindrome
No
Bit width
20 bits
Reversed
9,064,201
Square (n²)
1,049,823,602,881
Cube (n³)
1,075,658,711,924,298,529
Divisor count
2
σ(n) — sum of divisors
1,024,610
φ(n) — Euler's totient
1,024,608

Primality

1,024,609 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 1024609
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 1,024,609)
1 × 1024609
First multiples
1,024,609 · 2,049,218 (double) · 3,073,827 · 4,098,436 · 5,123,045 · 6,147,654 · 7,172,263 · 8,196,872 · 9,221,481 · 10,246,090

Sums & aliquot sequence

As a sum of two squares: 272² + 975²
As consecutive integers: 512,304 + 512,305

Continued fraction of √n

√1,024,609 = [1012; (4, 2, 1, 4, 1, 13, 1, 1, 6, 1, 20, 4, 1, 1, 10, 1, 7, 1, 1, 10, 1, 35, 1, 8, …)]

Representations

In words
one million twenty-four thousand six hundred nine
Ordinal
1024609th
Binary
11111010001001100001
Octal
3721141
Hexadecimal
0xFA261
Base64
D6Jh
One's complement
4,293,942,686 (32-bit)
Scientific notation
1.024609 × 10⁶
As a duration
1,024,609 s = 11 days, 20 hours, 36 minutes, 49 seconds
In other bases
ternary (3) 1221001111111
quaternary (4) 3322021201
quinary (5) 230241414
senary (6) 33543321
septenary (7) 11465125
nonary (9) 1831444
undecimal (11) 63a893
duodecimal (12) 414b41
tridecimal (13) 29b4a1
tetradecimal (14) 1c9585
pentadecimal (15) 1538c4

As an angle

1,024,609° = 2,846 × 360° + 49°
49° ≈ 0.855 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese
一百零二萬四千六百零九
Chinese (financial)
壹佰零貳萬肆仟陸佰零玖
In other modern scripts
Eastern Arabic ١٠٢٤٦٠٩ Devanagari १०२४६०९ Bengali ১০২৪৬০৯ Tamil ௧௦௨௪௬௦௯ Thai ๑๐๒๔๖๐๙ Tibetan ༡༠༢༤༦༠༩ Khmer ១០២៤៦០៩ Lao ໑໐໒໔໖໐໙ Burmese ၁၀၂၄၆၀၉

Also seen as

Prime neighborhood

Adjacent primes:

Hex color
#0FA261
RGB(15, 162, 97)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.162.97.

Address
0.15.162.97
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.162.97

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

Possible date

Could be parsed as a date. Most likely interpretation: Monday, January 2, 4609 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 4609-02-01 (DMMYYYY (Euro, single-digit day))
  • 4609-10-02 (MMDYYYY (US, single-digit day))
  • 4609-02-10 (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 1,024,609 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 1024609 first appears in π at position 681,077 of the decimal expansion (the 681,077ordinal-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.