Live analysis

1,003,141

1,003,141 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.).

1,003,141 (one million three thousand one hundred forty-one) is an odd 7-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xF4E85.

Arithmetic Number Cube-Free Deficient Number Emirp Happy Number Odious Number Pernicious Number Prime Pythagorean Prime Squarefree

Interestingness

★ ★ ★ ★ ☆

7 notable facts · grade B

1,003,129 1,003,130 1,003,131 1,003,132 1,003,133 1,003,134 1,003,135 1,003,136 1,003,137 1,003,138 1,003,139 1,003,140 1,003,141 1,003,142 1,003,143 1,003,144 1,003,145 1,003,146 1,003,147 1,003,148 1,003,149 1,003,150 1,003,151 1,003,152 1,003,153

less more

Properties

Parity: Odd
Digit count: 7
Digit sum: 10
Digit product: 0
Digital root: 1
Palindrome: No
Bit width: 20 bits
Reversed: 1,413,001
Square (n²): 1,006,291,865,881
Cube (n³): 1,009,452,628,631,732,221
Divisor count: 2
σ(n) — sum of divisors: 1,003,142
φ(n) — Euler's totient: 1,003,140

Primality

1,003,141 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 1003141

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 1,003,141)

1 × 1003141

First multiples

1,003,141 · 2,006,282 (double) · 3,009,423 · 4,012,564 · 5,015,705 · 6,018,846 · 7,021,987 · 8,025,128 · 9,028,269 · 10,031,410

Sums & aliquot sequence

As a sum of two squares: 305² + 954²

As consecutive integers: 501,570 + 501,571

Continued fraction of √n

√1,003,141 = [1001; (1, 1, 3, 9, 6, 7, 1, 1, 5, 1, 1, 1, 5, 1, 25, 1, 1, 32, 1, 7, 13, 2, 2, 3, …)]

Representations

In words: one million three thousand one hundred forty-one
Ordinal: 1003141st
Binary: 11110100111010000101
Octal: 3647205
Hexadecimal: 0xF4E85
Base64: D06F
One's complement: 4,293,964,154 (32-bit)
Scientific notation: 1.003141 × 10⁶
As a duration: 1,003,141 s = 11 days, 14 hours, 39 minutes, 1 second

In other bases

ternary (3) 1212222001101

quaternary (4) 3310322011

quinary (5) 224100031

senary (6) 33300101

septenary (7) 11345416

nonary (9) 1788041

undecimal (11) 625747

duodecimal (12) 404631

tridecimal (13) 291799

tetradecimal (14) 1c180d

pentadecimal (15) 14c361

As an angle

1,003,141° = 2,786 × 360° + 181°

181° ≈ 3.159 rad

Compass bearing: S (south)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓏺
Chinese: 一百萬三千一百四十一
Chinese (financial): 壹佰萬參仟壹佰肆拾壹

In other modern scripts

Eastern Arabic ١٠٠٣١٤١ Devanagari १००३१४१ Bengali ১০০৩১৪১ Tamil ௧௦௦௩௧௪௧ Thai ๑๐๐๓๑๔๑ Tibetan ༡༠༠༣༡༤༡ Khmer ១០០៣១៤១ Lao ໑໐໐໓໑໔໑ Burmese ၁၀၀၃၁၄၁

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 1,003,133 (gap of 8)
Next prime: 1,003,193 (gap of 52)

Hex color

#0F4E85

RGB(15, 78, 133)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.78.133.

Address: 0.15.78.133
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.78.133

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 1,003,141 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 US1,003,141 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 1003141 first appears in π at position 582,184 of the decimal expansion (the 582,184ordinal-suffix:th digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.

Look up 1003141 on Pi Search ↗