Live analysis

1,002,149

1,002,149 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.).

1,002,149 (one million two thousand one hundred forty-nine) is an odd 7-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xF4AA5.

Arithmetic Number Chen Prime Cube-Free Deficient Number Happy Number Odious Number Pernicious Number Prime Pythagorean Prime Sexy Prime Squarefree Twin Prime

Interestingness

★ ★ ★ ★ ★

9 notable facts · grade A

1,002,137 1,002,138 1,002,139 1,002,140 1,002,141 1,002,142 1,002,143 1,002,144 1,002,145 1,002,146 1,002,147 1,002,148 1,002,149 1,002,150 1,002,151 1,002,152 1,002,153 1,002,154 1,002,155 1,002,156 1,002,157 1,002,158 1,002,159 1,002,160 1,002,161

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Properties

Parity: Odd
Digit count: 7
Digit sum: 17
Digit product: 0
Digital root: 8
Palindrome: No
Bit width: 20 bits
Reversed: 9,412,001
Square (n²): 1,004,302,618,201
Cube (n³): 1,006,460,864,527,513,949
Divisor count: 2
σ(n) — sum of divisors: 1,002,150
φ(n) — Euler's totient: 1,002,148

Primality

1,002,149 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 1002149

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 1,002,149)

1 × 1002149

First multiples

1,002,149 · 2,004,298 (double) · 3,006,447 · 4,008,596 · 5,010,745 · 6,012,894 · 7,015,043 · 8,017,192 · 9,019,341 · 10,021,490

Sums & aliquot sequence

As a sum of two squares: 625² + 782²

As consecutive integers: 501,074 + 501,075

Continued fraction of √n

√1,002,149 = [1001; (13, 1, 1, 8, 1, 1, 2, 1, 1, 5, 3, 3, 1, 2, 1, 17, 1, 1, 1, 2, 1, 2, 2, 1, …)]

Representations

In words: one million two thousand one hundred forty-nine
Ordinal: 1002149th
Binary: 11110100101010100101
Octal: 3645245
Hexadecimal: 0xF4AA5
Base64: D0ql
One's complement: 4,293,965,146 (32-bit)
Scientific notation: 1.002149 × 10⁶
As a duration: 1,002,149 s = 11 days, 14 hours, 22 minutes, 29 seconds

In other bases

ternary (3) 1212220200122

quaternary (4) 3310222211

quinary (5) 224032044

senary (6) 33251325

septenary (7) 11342501

nonary (9) 1786618

undecimal (11) 624a25

duodecimal (12) 403b45

tridecimal (13) 2911b5

tetradecimal (14) 1c1301

pentadecimal (15) 14bdee

As an angle

1,002,149° = 2,783 × 360° + 269°

269° ≈ 4.695 rad

Compass bearing: W (west)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese: 一百萬二千一百四十九
Chinese (financial): 壹佰萬貳仟壹佰肆拾玖

In other modern scripts

Eastern Arabic ١٠٠٢١٤٩ Devanagari १००२१४९ Bengali ১০০২১৪৯ Tamil ௧௦௦௨௧௪௯ Thai ๑๐๐๒๑๔๙ Tibetan ༡༠༠༢༡༤༩ Khmer ១០០២១៤៩ Lao ໑໐໐໒໑໔໙ Burmese ၁၀၀၂၁၄၉

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 1,002,143 (gap of 6)
Next prime: 1,002,151 (gap of 2)

Pair status: twin with 1002151, sexy with 1002143.

Hex color

#0F4AA5

RGB(15, 74, 165)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.74.165.

Address: 0.15.74.165
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.74.165

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 1,002,149 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 US1,002,149 on Google Patents ↗ Look up on USPTO ↗