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1,001,953

1,001,953 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.).

1,001,953 (one million one thousand nine 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, 0xF49E1.

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

Interestingness

Properties

Parity
Odd
Digit count
7
Digit sum
19
Digit product
0
Digital root
1
Palindrome
No
Bit width
20 bits
Reversed
3,591,001
Square (n²)
1,003,909,814,209
Cube (n³)
1,005,870,450,076,150,177
Divisor count
2
σ(n) — sum of divisors
1,001,954
φ(n) — Euler's totient
1,001,952

Primality

1,001,953 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 1001953
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 1,001,953)
1 × 1001953
First multiples
1,001,953 · 2,003,906 (double) · 3,005,859 · 4,007,812 · 5,009,765 · 6,011,718 · 7,013,671 · 8,015,624 · 9,017,577 · 10,019,530

Sums & aliquot sequence

As a sum of two squares: 687² + 728²
As consecutive integers: 500,976 + 500,977

Continued fraction of √n

√1,001,953 = [1000; (1, 40, 1, 2, 2, 2, 1, 2, 1, 3, 3, 2, 1, 3, 1, 2, 1, 1, 2, 6, 1, 17, 5, 1, …)]

Representations

In words
one million one thousand nine hundred fifty-three
Ordinal
1001953rd
Binary
11110100100111100001
Octal
3644741
Hexadecimal
0xF49E1
Base64
D0nh
One's complement
4,293,965,342 (32-bit)
Scientific notation
1.001953 × 10⁶
As a duration
1,001,953 s = 11 days, 14 hours, 19 minutes, 13 seconds
In other bases
ternary (3) 1212220102101
quaternary (4) 3310213201
quinary (5) 224030303
senary (6) 33250401
septenary (7) 11342101
nonary (9) 1786371
undecimal (11) 624867
duodecimal (12) 403a01
tridecimal (13) 291094
tetradecimal (14) 1c1201
pentadecimal (15) 14bd1d

As an angle

1,001,953° = 2,783 × 360° + 73°
73° ≈ 1.274 rad
Compass bearing: ENE (east-northeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺
Chinese
一百萬一千九百五十三
Chinese (financial)
壹佰萬壹仟玖佰伍拾參
In other modern scripts
Eastern Arabic ١٠٠١٩٥٣ Devanagari १००१९५३ Bengali ১০০১৯৫৩ Tamil ௧௦௦௧௯௫௩ Thai ๑๐๐๑๙๕๓ Tibetan ༡༠༠༡༩༥༣ Khmer ១០០១៩៥៣ Lao ໑໐໐໑໙໕໓ Burmese ၁၀၀၁၉၅၃

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 1001947.

Hex color
#0F49E1
RGB(15, 73, 225)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.73.225.

Address
0.15.73.225
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.73.225

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 1,001,953 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.