number.wiki
Live analysis

1,001,353

1,001,353 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.).

1,001,353 (one million one thousand three 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, 0xF4789.

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

Interestingness

Properties

Parity
Odd
Digit count
7
Digit sum
13
Digit product
0
Digital root
4
Palindrome
No
Bit width
20 bits
Reversed
3,531,001
Square (n²)
1,002,707,830,609
Cube (n³)
1,004,064,494,303,813,977
Divisor count
2
σ(n) — sum of divisors
1,001,354
φ(n) — Euler's totient
1,001,352

Primality

1,001,353 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 1001353
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 1,001,353)
1 × 1001353
First multiples
1,001,353 · 2,002,706 (double) · 3,004,059 · 4,005,412 · 5,006,765 · 6,008,118 · 7,009,471 · 8,010,824 · 9,012,177 · 10,013,530

Sums & aliquot sequence

As a sum of two squares: 272² + 963²
As consecutive integers: 500,676 + 500,677

Continued fraction of √n

√1,001,353 = [1000; (1, 2, 11, 4, 3, 1, 19, 2, 4, 1, 1, 1, 2, 2, 3, 1, 1, 2, 1, 6, 1, 1, 1, 3, …)]

Representations

In words
one million one thousand three hundred fifty-three
Ordinal
1001353rd
Binary
11110100011110001001
Octal
3643611
Hexadecimal
0xF4789
Base64
D0eJ
One's complement
4,293,965,942 (32-bit)
Scientific notation
1.001353 × 10⁶
As a duration
1,001,353 s = 11 days, 14 hours, 9 minutes, 13 seconds
In other bases
ternary (3) 1212212121011
quaternary (4) 3310132021
quinary (5) 224020403
senary (6) 33243521
septenary (7) 11340253
nonary (9) 1785534
undecimal (11) 624371
duodecimal (12) 4035a1
tridecimal (13) 290a22
tetradecimal (14) 1c0cd3
pentadecimal (15) 14ba6d

As an angle

1,001,353° = 2,781 × 360° + 193°
193° ≈ 3.368 rad

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺
Chinese
一百萬一千三百五十三
Chinese (financial)
壹佰萬壹仟參佰伍拾參
In other modern scripts
Eastern Arabic ١٠٠١٣٥٣ Devanagari १००१३५३ Bengali ১০০১৩৫৩ Tamil ௧௦௦௧௩௫௩ Thai ๑๐๐๑๓๕๓ Tibetan ༡༠༠༡༣༥༣ Khmer ១០០១៣៥៣ Lao ໑໐໐໑໓໕໓ Burmese ၁၀၀၁၃၅၃

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 1001347.

Hex color
#0F4789
RGB(15, 71, 137)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.71.137.

Address
0.15.71.137
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.71.137

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 1,001,353 and was likely granted around 1911.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Related reading

  • Prime numbers — The building blocks of arithmetic: what primes are, why they matter, and how we find them.
  • Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.