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1,007,401

1,007,401 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.).

1,007,401 (one million seven 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, 0xF5F29.

Arithmetic Number Cube-Free Deficient Number Odious Number Pernicious Number Prime Pythagorean Prime Recamán's Sequence Squarefree

Interestingness

Properties

Parity
Odd
Digit count
7
Digit sum
13
Digit product
0
Digital root
4
Palindrome
No
Bit width
20 bits
Reversed
1,047,001
Recamán's sequence
a(350,649) = 1,007,401
Square (n²)
1,014,856,774,801
Cube (n³)
1,022,367,729,791,302,201
Divisor count
2
σ(n) — sum of divisors
1,007,402
φ(n) — Euler's totient
1,007,400

Primality

1,007,401 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 1007401
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 1,007,401)
1 × 1007401
First multiples
1,007,401 · 2,014,802 (double) · 3,022,203 · 4,029,604 · 5,037,005 · 6,044,406 · 7,051,807 · 8,059,208 · 9,066,609 · 10,074,010

Sums & aliquot sequence

As a sum of two squares: 276² + 965²
As consecutive integers: 503,700 + 503,701

Continued fraction of √n

√1,007,401 = [1003; (1, 2, 3, 1, 3, 1, 1, 4, 1, 2, 1, 4, 2, 4, 2, 1, 1, 2, 30, 1, 47, 1, 132, 1, …)]

Representations

In words
one million seven thousand four hundred one
Ordinal
1007401st
Binary
11110101111100101001
Octal
3657451
Hexadecimal
0xF5F29
Base64
D18p
One's complement
4,293,959,894 (32-bit)
Scientific notation
1.007401 × 10⁶
As a duration
1,007,401 s = 11 days, 15 hours, 50 minutes, 1 second
In other bases
ternary (3) 1220011220011
quaternary (4) 3311330221
quinary (5) 224214101
senary (6) 33331521
septenary (7) 11364013
nonary (9) 1804804
undecimal (11) 62896a
duodecimal (12) 406ba1
tridecimal (13) 2936c5
tetradecimal (14) 1c31b3
pentadecimal (15) 14d751

As an angle

1,007,401° = 2,798 × 360° + 121°
121° ≈ 2.112 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋 𒁹
Egyptian hieroglyphic
𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓏺
Chinese
一百萬七千四百零一
Chinese (financial)
壹佰萬柒仟肆佰零壹
In other modern scripts
Eastern Arabic ١٠٠٧٤٠١ Devanagari १००७४०१ Bengali ১০০৭৪০১ Tamil ௧௦௦௭௪௦௧ Thai ๑๐๐๗๔๐๑ Tibetan ༡༠༠༧༤༠༡ Khmer ១០០៧៤០១ Lao ໑໐໐໗໔໐໑ Burmese ၁၀၀၇၄၀၁

Also seen as

Prime neighborhood

Adjacent primes:

Hex color
#0F5F29
RGB(15, 95, 41)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.95.41.

Address
0.15.95.41
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.95.41

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 1,007,401 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.