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1,010,509

1,010,509 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.).

1,010,509 (one million ten thousand five hundred nine) is an odd 7-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xF6B4D.

Arithmetic Number Cube-Free Deficient Number Odious Number Pernicious 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
9,050,101
Square (n²)
1,021,128,439,081
Cube (n³)
1,031,859,477,847,302,229
Divisor count
2
σ(n) — sum of divisors
1,010,510
φ(n) — Euler's totient
1,010,508

Primality

1,010,509 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 1010509
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 1,010,509)
1 × 1010509
First multiples
1,010,509 · 2,021,018 (double) · 3,031,527 · 4,042,036 · 5,052,545 · 6,063,054 · 7,073,563 · 8,084,072 · 9,094,581 · 10,105,090

Sums & aliquot sequence

As a sum of two squares: 22² + 1,005²
As consecutive integers: 505,254 + 505,255

Continued fraction of √n

√1,010,509 = [1005; (4, 6, 1, 1, 12, 2, 3, 3, 1, 1, 1, 1, 3, 1, 5, 1, 1, 3, 1, 2, 1, 2, 5, 4, …)]

Representations

In words
one million ten thousand five hundred nine
Ordinal
1010509th
Binary
11110110101101001101
Octal
3665515
Hexadecimal
0xF6B4D
Base64
D2tN
One's complement
4,293,956,786 (32-bit)
Scientific notation
1.010509 × 10⁶
As a duration
1,010,509 s = 11 days, 16 hours, 41 minutes, 49 seconds
In other bases
ternary (3) 1220100011021
quaternary (4) 3312231031
quinary (5) 224314014
senary (6) 33354141
septenary (7) 11406043
nonary (9) 1810137
undecimal (11) 630235
duodecimal (12) 408951
tridecimal (13) 294c46
tetradecimal (14) 1c4393
pentadecimal (15) 14e624

As an angle

1,010,509° = 2,806 × 360° + 349°
349° ≈ 6.091 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓍢𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese
一百零一萬零五百零九
Chinese (financial)
壹佰零壹萬零伍佰零玖
In other modern scripts
Eastern Arabic ١٠١٠٥٠٩ Devanagari १०१०५०९ Bengali ১০১০৫০৯ Tamil ௧௦௧௦௫௦௯ Thai ๑๐๑๐๕๐๙ Tibetan ༡༠༡༠༥༠༩ Khmer ១០១០៥០៩ Lao ໑໐໑໐໕໐໙ Burmese ၁၀၁၀၅၀၉

Also seen as

Prime neighborhood

Adjacent primes:

Hex color
#0F6B4D
RGB(15, 107, 77)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.107.77.

Address
0.15.107.77
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.107.77

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

Possible date

Could be parsed as a date. Most likely interpretation: Tuesday, January 1, 0509 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)
  • 0509-10-01 (MMDYYYY (US, single-digit day))
  • 0509-01-10 (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 1,010,509 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 1010509 first appears in π at position 486,061 of the decimal expansion (the 486,061ordinal-suffix:st 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.