Live analysis

1,003,381

1,003,381 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.).

1,003,381 (one million three thousand three hundred eighty-one) is an odd 7-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xF4F75.

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

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

1,003,369 1,003,370 1,003,371 1,003,372 1,003,373 1,003,374 1,003,375 1,003,376 1,003,377 1,003,378 1,003,379 1,003,380 1,003,381 1,003,382 1,003,383 1,003,384 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

less more

Properties

Parity: Odd
Digit count: 7
Digit sum: 16
Digit product: 0
Digital root: 7
Palindrome: No
Bit width: 20 bits
Reversed: 1,833,001
Square (n²): 1,006,773,431,161
Cube (n³): 1,010,177,332,131,755,341
Divisor count: 2
σ(n) — sum of divisors: 1,003,382
φ(n) — Euler's totient: 1,003,380

Primality

1,003,381 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 1003381

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 1,003,381)

1 × 1003381

First multiples

1,003,381 · 2,006,762 (double) · 3,010,143 · 4,013,524 · 5,016,905 · 6,020,286 · 7,023,667 · 8,027,048 · 9,030,429 · 10,033,810

Sums & aliquot sequence

As a sum of two squares: 265² + 966²

As consecutive integers: 501,690 + 501,691

Continued fraction of √n

√1,003,381 = [1001; (1, 2, 4, 1, 1, 1, 2, 33, 87, 13, 1, 1, 1, 1, 1, 1, 3, 4, 1, 4, 1, 1, 2, 3, …)]

Representations

In words: one million three thousand three hundred eighty-one
Ordinal: 1003381st
Binary: 11110100111101110101
Octal: 3647565
Hexadecimal: 0xF4F75
Base64: D091
One's complement: 4,293,963,914 (32-bit)
Scientific notation: 1.003381 × 10⁶
As a duration: 1,003,381 s = 11 days, 14 hours, 43 minutes, 1 second

In other bases

ternary (3) 1212222101021

quaternary (4) 3310331311

quinary (5) 224102011

senary (6) 33301141

septenary (7) 11346211

nonary (9) 1788337

undecimal (11) 625945

duodecimal (12) 4047b1

tridecimal (13) 291922

tetradecimal (14) 1c1941

pentadecimal (15) 14c471

As an angle

1,003,381° = 2,787 × 360° + 61°

61° ≈ 1.065 rad

Compass bearing: ENE (east-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺
Chinese: 一百萬三千三百八十一
Chinese (financial): 壹佰萬參仟參佰捌拾壹

In other modern scripts

Eastern Arabic ١٠٠٣٣٨١ Devanagari १००३३८१ Bengali ১০০৩৩৮১ Tamil ௧௦௦௩௩௮௧ Thai ๑๐๐๓๓๘๑ Tibetan ༡༠༠༣༣༨༡ Khmer ១០០៣៣៨១ Lao ໑໐໐໓໓໘໑ Burmese ၁၀၀၃၃၈၁

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 1,003,369 (gap of 12)
Next prime: 1,003,397 (gap of 16)

Hex color

#0F4F75

RGB(15, 79, 117)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.79.117.

Address: 0.15.79.117
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.79.117

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 1,003,381 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 US1,003,381 on Google Patents ↗ Look up on USPTO ↗