Live analysis

1,005,101

1,005,101 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.).

1,005,101 (one million five thousand one hundred one) is an odd 7-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xF562D.

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

Interestingness

★ ★ ★ ★ ★

8 notable facts · grade A

1,005,089 1,005,090 1,005,091 1,005,092 1,005,093 1,005,094 1,005,095 1,005,096 1,005,097 1,005,098 1,005,099 1,005,100 1,005,101 1,005,102 1,005,103 1,005,104 1,005,105 1,005,106 1,005,107 1,005,108 1,005,109 1,005,110 1,005,111 1,005,112 1,005,113

less more

Properties

Parity: Odd
Digit count: 7
Digit sum: 8
Digit product: 0
Digital root: 8
Palindrome: No
Bit width: 20 bits
Reversed: 1,015,001
Square (n²): 1,010,228,020,201
Cube (n³): 1,015,381,193,332,045,301
Divisor count: 2
σ(n) — sum of divisors: 1,005,102
φ(n) — Euler's totient: 1,005,100

Primality

1,005,101 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 1005101

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 1,005,101)

1 × 1005101

First multiples

1,005,101 · 2,010,202 (double) · 3,015,303 · 4,020,404 · 5,025,505 · 6,030,606 · 7,035,707 · 8,040,808 · 9,045,909 · 10,051,010

Sums & aliquot sequence

As a sum of two squares: 530² + 851²

As consecutive integers: 502,550 + 502,551

Continued fraction of √n

√1,005,101 = [1002; (1, 1, 4, 1, 3, 1, 3, 2, 1, 5, 1, 7, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, …)]

Representations

In words: one million five thousand one hundred one
Ordinal: 1005101st
Binary: 11110101011000101101
Octal: 3653055
Hexadecimal: 0xF562D
Base64: D1Yt
One's complement: 4,293,962,194 (32-bit)
Scientific notation: 1.005101 × 10⁶
As a duration: 1,005,101 s = 11 days, 15 hours, 11 minutes, 41 seconds

In other bases

ternary (3) 1220001201222

quaternary (4) 3311120231

quinary (5) 224130401

senary (6) 33313125

septenary (7) 11354216

nonary (9) 1801658

undecimal (11) 627169

duodecimal (12) 4057a5

tridecimal (13) 292646

tetradecimal (14) 1c240d

pentadecimal (15) 14cc1b

As an angle

1,005,101° = 2,791 × 360° + 341°

341° ≈ 5.952 rad

Compass bearing: NNW (north-northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓆼𓍢𓏺
Chinese: 一百萬五千一百零一
Chinese (financial): 壹佰萬伍仟壹佰零壹

In other modern scripts

Eastern Arabic ١٠٠٥١٠١ Devanagari १००५१०१ Bengali ১০০৫১০১ Tamil ௧௦௦௫௧௦௧ Thai ๑๐๐๕๑๐๑ Tibetan ༡༠༠༥༡༠༡ Khmer ១០០៥១០១ Lao ໑໐໐໕໑໐໑ Burmese ၁၀၀၅၁၀၁

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 1,005,079 (gap of 22)
Next prime: 1,005,107 (gap of 6)

Pair status: sexy with 1005107.

Hex color

#0F562D

RGB(15, 86, 45)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.86.45.

Address: 0.15.86.45
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.86.45

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 1,005,101 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 US1,005,101 on Google Patents ↗ Look up on USPTO ↗