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1,013,041

1,013,041 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.).

1,013,041 (one million thirteen thousand forty-one) is an odd 7-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xF7531.

Arithmetic Number Balanced Prime Chen Prime Cube-Free Deficient Number Evil Number Happy Number Prime Pythagorean Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
7
Digit sum
10
Digit product
0
Digital root
1
Palindrome
No
Bit width
20 bits
Reversed
1,403,101
Square (n²)
1,026,252,067,681
Cube (n³)
1,039,635,420,895,627,921
Divisor count
2
σ(n) — sum of divisors
1,013,042
φ(n) — Euler's totient
1,013,040

Primality

1,013,041 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 1013041
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 1,013,041)
1 × 1013041
First multiples
1,013,041 · 2,026,082 (double) · 3,039,123 · 4,052,164 · 5,065,205 · 6,078,246 · 7,091,287 · 8,104,328 · 9,117,369 · 10,130,410

Sums & aliquot sequence

As a sum of two squares: 145² + 996²
As consecutive integers: 506,520 + 506,521

Continued fraction of √n

√1,013,041 = [1006; (2, 402, 10, 80, 2, 2, 1, 1, 1, 1, 1, 15, 2, 15, 8, 3, 10, 3, 41, 1, 1, 1, 1, 2, …)]

Representations

In words
one million thirteen thousand forty-one
Ordinal
1013041st
Binary
11110111010100110001
Octal
3672461
Hexadecimal
0xF7531
Base64
D3Ux
One's complement
4,293,954,254 (32-bit)
Scientific notation
1.013041 × 10⁶
As a duration
1,013,041 s = 11 days, 17 hours, 24 minutes, 1 second
In other bases
ternary (3) 1220110122001
quaternary (4) 3313110301
quinary (5) 224404131
senary (6) 33414001
septenary (7) 11416321
nonary (9) 1813561
undecimal (11) 632127
duodecimal (12) 40a301
tridecimal (13) 296143
tetradecimal (14) 1c5281
pentadecimal (15) 150261

As an angle

1,013,041° = 2,814 × 360° + 1°
1° ≈ 0.017 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹 𒁹
Egyptian hieroglyphic
𓁨𓂍𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓏺
Chinese
一百零一萬三千零四十一
Chinese (financial)
壹佰零壹萬參仟零肆拾壹
In other modern scripts
Eastern Arabic ١٠١٣٠٤١ Devanagari १०१३०४१ Bengali ১০১৩০৪১ Tamil ௧௦௧௩௦௪௧ Thai ๑๐๑๓๐๔๑ Tibetan ༡༠༡༣༠༤༡ Khmer ១០១៣០៤១ Lao ໑໐໑໓໐໔໑ Burmese ၁၀၁၃၀၄၁

Also seen as

Prime neighborhood

Adjacent primes:

Hex color
#0F7531
RGB(15, 117, 49)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.117.49.

Address
0.15.117.49
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.117.49

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

Possible date

Could be parsed as a date. Most likely interpretation: Friday, January 1, 3041 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)
  • 3041-10-01 (MMDYYYY (US, single-digit day))
  • 3041-01-10 (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 1,013,041 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.