Live analysis

1,002,913

1,002,913 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.).

1,002,913 (one million two thousand nine hundred thirteen) is an odd 7-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xF4DA1.

Arithmetic Number Cousin Prime Cube-Free Deficient Number Odious Number Pernicious Number Prime Pythagorean Prime Squarefree

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

1,002,901 1,002,902 1,002,903 1,002,904 1,002,905 1,002,906 1,002,907 1,002,908 1,002,909 1,002,910 1,002,911 1,002,912 1,002,913 1,002,914 1,002,915 1,002,916 1,002,917 1,002,918 1,002,919 1,002,920 1,002,921 1,002,922 1,002,923 1,002,924 1,002,925

less more

Properties

Parity: Odd
Digit count: 7
Digit sum: 16
Digit product: 0
Digital root: 7
Palindrome: No
Bit width: 20 bits
Reversed: 3,192,001
Square (n²): 1,005,834,485,569
Cube (n³): 1,008,764,481,425,462,497
Divisor count: 2
σ(n) — sum of divisors: 1,002,914
φ(n) — Euler's totient: 1,002,912

Primality

1,002,913 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 1002913

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 1,002,913)

1 × 1002913

First multiples

1,002,913 · 2,005,826 (double) · 3,008,739 · 4,011,652 · 5,014,565 · 6,017,478 · 7,020,391 · 8,023,304 · 9,026,217 · 10,029,130

Sums & aliquot sequence

As a sum of two squares: 463² + 888²

As consecutive integers: 501,456 + 501,457

Continued fraction of √n

√1,002,913 = [1001; (2, 5, 9, 20, 1, 3, 12, 1, 12, 6, 95, 4, 1, 2, 2, 21, 8, 1, 8, 1, 1, 17, 1, 1, …)]

Representations

In words: one million two thousand nine hundred thirteen
Ordinal: 1002913th
Binary: 11110100110110100001
Octal: 3646641
Hexadecimal: 0xF4DA1
Base64: D02h
One's complement: 4,293,964,382 (32-bit)
Scientific notation: 1.002913 × 10⁶
As a duration: 1,002,913 s = 11 days, 14 hours, 35 minutes, 13 seconds

In other bases

ternary (3) 1212221201221

quaternary (4) 3310312201

quinary (5) 224043123

senary (6) 33255041

septenary (7) 11344642

nonary (9) 1787657

undecimal (11) 62555a

duodecimal (12) 404481

tridecimal (13) 291652

tetradecimal (14) 1c16c9

pentadecimal (15) 14c25d

As an angle

1,002,913° = 2,785 × 360° + 313°

313° ≈ 5.463 rad

Compass bearing: NW (northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓏺𓏺𓏺
Chinese: 一百萬二千九百一十三
Chinese (financial): 壹佰萬貳仟玖佰壹拾參

In other modern scripts

Eastern Arabic ١٠٠٢٩١٣ Devanagari १००२९१३ Bengali ১০০২৯১৩ Tamil ௧௦௦௨௯௧௩ Thai ๑๐๐๒๙๑๓ Tibetan ༡༠༠༢༩༡༣ Khmer ១០០២៩១៣ Lao ໑໐໐໒໙໑໓ Burmese ၁၀၀၂၉၁၃

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 1,002,899 (gap of 14)
Next prime: 1,002,917 (gap of 4)

Pair status: cousin with 1002917.

Hex color

#0F4DA1

RGB(15, 77, 161)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.77.161.

Address: 0.15.77.161
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.77.161

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

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 1,002,913 and was likely granted around 1911.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Look up US1,002,913 on Google Patents ↗ Look up on USPTO ↗