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1,001,401

1,001,401 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.).

1,001,401 (one million one thousand four hundred one) is an odd 7-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xF47B9.

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

Interestingness

Properties

Parity
Odd
Digit count
7
Digit sum
7
Digit product
0
Digital root
7
Palindrome
No
Bit width
20 bits
Reversed
1,041,001
Square (n²)
1,002,803,962,801
Cube (n³)
1,004,208,891,152,884,201
Divisor count
2
σ(n) — sum of divisors
1,001,402
φ(n) — Euler's totient
1,001,400

Primality

1,001,401 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 1001401
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 1,001,401)
1 × 1001401
First multiples
1,001,401 · 2,002,802 (double) · 3,004,203 · 4,005,604 · 5,007,005 · 6,008,406 · 7,009,807 · 8,011,208 · 9,012,609 · 10,014,010

Sums & aliquot sequence

As a sum of two squares: 651² + 760²
As consecutive integers: 500,700 + 500,701

Continued fraction of √n

√1,001,401 = [1000; (1, 2, 2, 1, 38, 1, 1, 5, 3, 2, 1, 1, 4, 1, 1, 1, 1, 3, 1, 1, 3, 1, 1, 5, …)]

Representations

In words
one million one thousand four hundred one
Ordinal
1001401st
Binary
11110100011110111001
Octal
3643671
Hexadecimal
0xF47B9
Base64
D0e5
One's complement
4,293,965,894 (32-bit)
Scientific notation
1.001401 × 10⁶
As a duration
1,001,401 s = 11 days, 14 hours, 10 minutes, 1 second
In other bases
ternary (3) 1212212122221
quaternary (4) 3310132321
quinary (5) 224021101
senary (6) 33244041
septenary (7) 11340352
nonary (9) 1785587
undecimal (11) 624405
duodecimal (12) 403621
tridecimal (13) 290a5b
tetradecimal (14) 1c0d29
pentadecimal (15) 14baa1

As an angle

1,001,401° = 2,781 × 360° + 241°
241° ≈ 4.206 rad

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋 𒁹
Egyptian hieroglyphic
𓁨𓆼𓍢𓍢𓍢𓍢𓏺
Chinese
一百萬一千四百零一
Chinese (financial)
壹佰萬壹仟肆佰零壹
In other modern scripts
Eastern Arabic ١٠٠١٤٠١ Devanagari १००१४०१ Bengali ১০০১৪০১ Tamil ௧௦௦௧௪௦௧ Thai ๑๐๐๑๔๐๑ Tibetan ༡༠༠༡༤༠༡ Khmer ១០០១៤០១ Lao ໑໐໐໑໔໐໑ Burmese ၁၀၀၁၄၀၁

Also seen as

Prime neighborhood

Adjacent primes:

Hex color
#0F47B9
RGB(15, 71, 185)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.71.185.

Address
0.15.71.185
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.71.185

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 1,001,401 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.