Live analysis

1,003,397

1,003,397 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.).

1,003,397 (one million three thousand three hundred ninety-seven) is an odd 7-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xF4F85.

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

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

1,003,385 1,003,386 1,003,387 1,003,388 1,003,389 1,003,390 1,003,391 1,003,392 1,003,393 1,003,394 1,003,395 1,003,396 1,003,397 1,003,398 1,003,399 1,003,400 1,003,401 1,003,402 1,003,403 1,003,404 1,003,405 1,003,406 1,003,407 1,003,408 1,003,409

less more

Properties

Parity: Odd
Digit count: 7
Digit sum: 23
Digit product: 0
Digital root: 5
Palindrome: No
Bit width: 20 bits
Reversed: 7,933,001
Square (n²): 1,006,805,539,609
Cube (n³): 1,010,225,658,027,051,773
Divisor count: 2
σ(n) — sum of divisors: 1,003,398
φ(n) — Euler's totient: 1,003,396

Primality

1,003,397 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 1003397

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 1,003,397)

1 × 1003397

First multiples

1,003,397 · 2,006,794 (double) · 3,010,191 · 4,013,588 · 5,016,985 · 6,020,382 · 7,023,779 · 8,027,176 · 9,030,573 · 10,033,970

Sums & aliquot sequence

As a sum of two squares: 146² + 991²

As consecutive integers: 501,698 + 501,699

Continued fraction of √n

√1,003,397 = [1001; (1, 2, 3, 3, 9, 1, 6, 2, 23, 1, 2, 25, 46, 1, 1, 4, 2, 1, 1, 5, 28, 26, 3, 12, …)]

Representations

In words: one million three thousand three hundred ninety-seven
Ordinal: 1003397th
Binary: 11110100111110000101
Octal: 3647605
Hexadecimal: 0xF4F85
Base64: D0+F
One's complement: 4,293,963,898 (32-bit)
Scientific notation: 1.003397 × 10⁶
As a duration: 1,003,397 s = 11 days, 14 hours, 43 minutes, 17 seconds

In other bases

ternary (3) 1212222101212

quaternary (4) 3310332011

quinary (5) 224102042

senary (6) 33301205

septenary (7) 11346233

nonary (9) 1788355

undecimal (11) 62595a

duodecimal (12) 404805

tridecimal (13) 291935

tetradecimal (14) 1c1953

pentadecimal (15) 14c482

As an angle

1,003,397° = 2,787 × 360° + 77°

77° ≈ 1.344 rad

Compass bearing: ENE (east-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese: 一百萬三千三百九十七
Chinese (financial): 壹佰萬參仟參佰玖拾柒

In other modern scripts

Eastern Arabic ١٠٠٣٣٩٧ Devanagari १००३३९७ Bengali ১০০৩৩৯৭ Tamil ௧௦௦௩௩௯௭ Thai ๑๐๐๓๓๙๗ Tibetan ༡༠༠༣༣༩༧ Khmer ១០០៣៣៩៧ Lao ໑໐໐໓໓໙໗ Burmese ၁၀၀၃၃၉၇

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 1,003,381 (gap of 16)
Next prime: 1,003,411 (gap of 14)

Hex color

#0F4F85

RGB(15, 79, 133)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.79.133.

Address: 0.15.79.133
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.79.133

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 1,003,397 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 US1,003,397 on Google Patents ↗ Look up on USPTO ↗