Live analysis

1,013,153

1,013,153 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.).

1,013,153 (one million thirteen thousand one hundred fifty-three) is an odd 7-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xF75A1.

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

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,013,141 1,013,142 1,013,143 1,013,144 1,013,145 1,013,146 1,013,147 1,013,148 1,013,149 1,013,150 1,013,151 1,013,152 1,013,153 1,013,154 1,013,155 1,013,156 1,013,157 1,013,158 1,013,159 1,013,160 1,013,161 1,013,162 1,013,163 1,013,164 1,013,165

less more

Properties

Parity: Odd
Digit count: 7
Digit sum: 14
Digit product: 0
Digital root: 5
Palindrome: No
Bit width: 20 bits
Reversed: 3,513,101
Square (n²): 1,026,479,001,409
Cube (n³): 1,039,980,279,714,532,577
Divisor count: 2
σ(n) — sum of divisors: 1,013,154
φ(n) — Euler's totient: 1,013,152

Primality

1,013,153 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 1013153

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 1,013,153)

1 × 1013153

First multiples

1,013,153 · 2,026,306 (double) · 3,039,459 · 4,052,612 · 5,065,765 · 6,078,918 · 7,092,071 · 8,105,224 · 9,118,377 · 10,131,530

Sums & aliquot sequence

As a sum of two squares: 352² + 943²

As consecutive integers: 506,576 + 506,577

Continued fraction of √n

√1,013,153 = [1006; (1, 1, 4, 22, 1, 1, 1, 8, 7, 1, 2, 1, 35, 4, 1, 5, 1, 1, 25, 1, 1, 1, 1, 8, …)]

Representations

In words: one million thirteen thousand one hundred fifty-three
Ordinal: 1013153rd
Binary: 11110111010110100001
Octal: 3672641
Hexadecimal: 0xF75A1
Base64: D3Wh
One's complement: 4,293,954,142 (32-bit)
Scientific notation: 1.013153 × 10⁶
As a duration: 1,013,153 s = 11 days, 17 hours, 25 minutes, 53 seconds

In other bases

ternary (3) 1220110210012

quaternary (4) 3313112201

quinary (5) 224410103

senary (6) 33414305

septenary (7) 11416541

nonary (9) 1813705

undecimal (11) 632219

duodecimal (12) 40a395

tridecimal (13) 2961cb

tetradecimal (14) 1c5321

pentadecimal (15) 1502d8

As an angle

1,013,153° = 2,814 × 360° + 113°

113° ≈ 1.972 rad

Compass bearing: ESE (east-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓂍𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺
Chinese: 一百零一萬三千一百五十三
Chinese (financial): 壹佰零壹萬參仟壹佰伍拾參

In other modern scripts

Eastern Arabic ١٠١٣١٥٣ Devanagari १०१३१५३ Bengali ১০১৩১৫৩ Tamil ௧௦௧௩௧௫௩ Thai ๑๐๑๓๑๕๓ Tibetan ༡༠༡༣༡༥༣ Khmer ១០១៣១៥៣ Lao ໑໐໑໓໑໕໓ Burmese ၁၀၁၃၁၅၃

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 1,013,143 (gap of 10)
Next prime: 1,013,197 (gap of 44)

Hex color

#0F75A1

RGB(15, 117, 161)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.117.161.

Address: 0.15.117.161
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.117.161

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Possible date

Could be parsed as a date. Most likely interpretation: Thursday, January 1, 3153 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)

3153-10-01 (MMDYYYY (US, single-digit day))
3153-01-10 (DDMYYYY (Euro, single-digit month))

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 1,013,153 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 US1,013,153 on Google Patents ↗ Look up on USPTO ↗