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1,013,401

1,013,401 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.).

1,013,401 (one million thirteen 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, 0xF7699.

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

Interestingness

Properties

Parity
Odd
Digit count
7
Digit sum
10
Digit product
0
Digital root
1
Palindrome
No
Bit width
20 bits
Reversed
1,043,101
Square (n²)
1,026,981,586,801
Cube (n³)
1,040,744,167,045,720,201
Divisor count
2
σ(n) — sum of divisors
1,013,402
φ(n) — Euler's totient
1,013,400

Primality

1,013,401 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 1013401
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 1,013,401)
1 × 1013401
First multiples
1,013,401 · 2,026,802 (double) · 3,040,203 · 4,053,604 · 5,067,005 · 6,080,406 · 7,093,807 · 8,107,208 · 9,120,609 · 10,134,010

Sums & aliquot sequence

As a sum of two squares: 451² + 900²
As consecutive integers: 506,700 + 506,701

Continued fraction of √n

√1,013,401 = [1006; (1, 2, 9, 3, 2, 1, 95, 5, 1, 2, 2, 3, 1, 2, 12, 4, 2, 15, 1, 1, 1, 20, 1, 1, …)]

Representations

In words
one million thirteen thousand four hundred one
Ordinal
1013401st
Binary
11110111011010011001
Octal
3673231
Hexadecimal
0xF7699
Base64
D3aZ
One's complement
4,293,953,894 (32-bit)
Scientific notation
1.013401 × 10⁶
As a duration
1,013,401 s = 11 days, 17 hours, 30 minutes, 1 second
In other bases
ternary (3) 1220111010101
quaternary (4) 3313122121
quinary (5) 224412101
senary (6) 33415401
septenary (7) 11420344
nonary (9) 1814111
undecimal (11) 632424
duodecimal (12) 40a561
tridecimal (13) 29635c
tetradecimal (14) 1c545b
pentadecimal (15) 150401

As an angle

1,013,401° = 2,815 × 360° + 1°
1° ≈ 0.017 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋 𒁹
Egyptian hieroglyphic
𓁨𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓏺
Chinese
一百零一萬三千四百零一
Chinese (financial)
壹佰零壹萬參仟肆佰零壹
In other modern scripts
Eastern Arabic ١٠١٣٤٠١ Devanagari १०१३४०१ Bengali ১০১৩৪০১ Tamil ௧௦௧௩௪௦௧ Thai ๑๐๑๓๔๐๑ Tibetan ༡༠༡༣༤༠༡ Khmer ១០១៣៤០១ Lao ໑໐໑໓໔໐໑ Burmese ၁၀၁၃၄၀၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 1013399.

Hex color
#0F7699
RGB(15, 118, 153)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.118.153.

Address
0.15.118.153
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.118.153

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

Possible date

Could be parsed as a date. Most likely interpretation: Thursday, January 1, 3401 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)
  • 3401-10-01 (MMDYYYY (US, single-digit day))
  • 3401-01-10 (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 1,013,401 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.