number.wiki
Live analysis

1,037,401

1,037,401 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.).

1,037,401 (one million thirty-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, 0xFD459.

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

Interestingness

Properties

Parity
Odd
Digit count
7
Digit sum
16
Digit product
0
Digital root
7
Palindrome
No
Bit width
20 bits
Reversed
1,047,301
Square (n²)
1,076,200,834,801
Cube (n³)
1,116,451,822,223,392,201
Divisor count
2
σ(n) — sum of divisors
1,037,402
φ(n) — Euler's totient
1,037,400

Primality

1,037,401 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 1037401
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 1,037,401)
1 × 1037401
First multiples
1,037,401 · 2,074,802 (double) · 3,112,203 · 4,149,604 · 5,187,005 · 6,224,406 · 7,261,807 · 8,299,208 · 9,336,609 · 10,374,010

Sums & aliquot sequence

As a sum of two squares: 624² + 805²
As consecutive integers: 518,700 + 518,701

Continued fraction of √n

√1,037,401 = [1018; (1, 1, 8, 5, 1, 17, 5, 4, 50, 1, 2, 4, 1, 4, 1, 1, 1, 1, 7, 5, 15, 2, 1, 4, …)]

Representations

In words
one million thirty-seven thousand four hundred one
Ordinal
1037401st
Binary
11111101010001011001
Octal
3752131
Hexadecimal
0xFD459
Base64
D9RZ
One's complement
4,293,929,894 (32-bit)
Scientific notation
1.037401 × 10⁶
As a duration
1,037,401 s = 12 days, 10 minutes, 1 second
In other bases
ternary (3) 1221201001021
quaternary (4) 3331101121
quinary (5) 231144101
senary (6) 34122441
septenary (7) 11550331
nonary (9) 1851037
undecimal (11) 649462
duodecimal (12) 420421
tridecimal (13) 2a4261
tetradecimal (14) 1d00c1
pentadecimal (15) 1575a1

As an angle

1,037,401° = 2,881 × 360° + 241°
241° ≈ 4.206 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋 𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓏺
Chinese
一百零三萬七千四百零一
Chinese (financial)
壹佰零參萬柒仟肆佰零壹
In other modern scripts
Eastern Arabic ١٠٣٧٤٠١ Devanagari १०३७४०१ Bengali ১০৩৭৪০১ Tamil ௧௦௩௭௪௦௧ Thai ๑๐๓๗๔๐๑ Tibetan ༡༠༣༧༤༠༡ Khmer ១០៣៧៤០១ Lao ໑໐໓໗໔໐໑ Burmese ၁၀၃၇၄၀၁

Also seen as

Prime neighborhood

Adjacent primes:

Hex color
#0FD459
RGB(15, 212, 89)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.212.89.

Address
0.15.212.89
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.212.89

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

Possible date

Could be parsed as a date. Most likely interpretation: Saturday, January 3, 7401 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 7401-03-01 (DMMYYYY (Euro, single-digit day))
  • 7401-10-03 (MMDYYYY (US, single-digit day))
  • 7401-03-10 (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 1,037,401 and was likely granted around 1912.

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.