Live analysis

1,013,053

1,013,053 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.).

1,013,053 (one million thirteen thousand fifty-three) is an odd 7-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xF753D.

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

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,013,041 1,013,042 1,013,043 1,013,044 1,013,045 1,013,046 1,013,047 1,013,048 1,013,049 1,013,050 1,013,051 1,013,052 1,013,053 1,013,054 1,013,055 1,013,056 1,013,057 1,013,058 1,013,059 1,013,060 1,013,061 1,013,062 1,013,063 1,013,064 1,013,065

less more

Properties

Parity: Odd
Digit count: 7
Digit sum: 13
Digit product: 0
Digital root: 4
Palindrome: No
Bit width: 20 bits
Reversed: 3,503,101
Square (n²): 1,026,276,380,809
Cube (n³): 1,039,672,366,407,699,877
Divisor count: 2
σ(n) — sum of divisors: 1,013,054
φ(n) — Euler's totient: 1,013,052

Primality

1,013,053 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 1013053

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 1,013,053)

1 × 1013053

First multiples

1,013,053 · 2,026,106 (double) · 3,039,159 · 4,052,212 · 5,065,265 · 6,078,318 · 7,091,371 · 8,104,424 · 9,117,477 · 10,130,530

Sums & aliquot sequence

As a sum of two squares: 138² + 997²

As consecutive integers: 506,526 + 506,527

Continued fraction of √n

√1,013,053 = [1006; (1, 1, 46, 3, 5, 2, 3, 2, 7, 21, 1, 1, 22, 1, 1, 1, 2, 10, 18, 2, 1, 2, 4, 4, …)]

Representations

In words: one million thirteen thousand fifty-three
Ordinal: 1013053rd
Binary: 11110111010100111101
Octal: 3672475
Hexadecimal: 0xF753D
Base64: D3U9
One's complement: 4,293,954,242 (32-bit)
Scientific notation: 1.013053 × 10⁶
As a duration: 1,013,053 s = 11 days, 17 hours, 24 minutes, 13 seconds

In other bases

ternary (3) 1220110122111

quaternary (4) 3313110331

quinary (5) 224404203

senary (6) 33414021

septenary (7) 11416336

nonary (9) 1813574

undecimal (11) 632138

duodecimal (12) 40a311

tridecimal (13) 296152

tetradecimal (14) 1c528d

pentadecimal (15) 15026d

As an angle

1,013,053° = 2,814 × 360° + 13°

13° ≈ 0.227 rad

Compass bearing: NNE (north-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓂍𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺
Chinese: 一百零一萬三千零五十三
Chinese (financial): 壹佰零壹萬參仟零伍拾參

In other modern scripts

Eastern Arabic ١٠١٣٠٥٣ Devanagari १०१३०५३ Bengali ১০১৩০৫৩ Tamil ௧௦௧௩௦௫௩ Thai ๑๐๑๓๐๕๓ Tibetan ༡༠༡༣༠༥༣ Khmer ១០១៣០៥៣ Lao ໑໐໑໓໐໕໓ Burmese ၁၀၁၃၀၅၃

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 1,013,041 (gap of 12)
Next prime: 1,013,063 (gap of 10)

Hex color

#0F753D

RGB(15, 117, 61)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.117.61.

Address: 0.15.117.61
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.117.61

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

Possible date

Could be parsed as a date. Most likely interpretation: Saturday, January 1, 3053 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)

3053-10-01 (MMDYYYY (US, single-digit day))
3053-01-10 (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 1,013,053 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 US1,013,053 on Google Patents ↗ Look up on USPTO ↗