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1,013,501

1,013,501 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.).

1,013,501 (one million thirteen thousand five hundred one) is an odd 7-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xF76FD.

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

Interestingness

Properties

Parity
Odd
Digit count
7
Digit sum
11
Digit product
0
Digital root
2
Palindrome
No
Bit width
20 bits
Reversed
1,053,101
Square (n²)
1,027,184,277,001
Cube (n³)
1,041,052,291,924,790,501
Divisor count
2
σ(n) — sum of divisors
1,013,502
φ(n) — Euler's totient
1,013,500

Primality

1,013,501 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 1013501
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 1,013,501)
1 × 1013501
First multiples
1,013,501 · 2,027,002 (double) · 3,040,503 · 4,054,004 · 5,067,505 · 6,081,006 · 7,094,507 · 8,108,008 · 9,121,509 · 10,135,010

Sums & aliquot sequence

As a sum of two squares: 395² + 926²
As consecutive integers: 506,750 + 506,751

Continued fraction of √n

√1,013,501 = [1006; (1, 2, 1, 2, 13, 1, 1, 10, 1, 2, 1, 2, 2, 2, 1, 8, 2, 3, 1, 53, 1, 1, 1, 3, …)]

Representations

In words
one million thirteen thousand five hundred one
Ordinal
1013501st
Binary
11110111011011111101
Octal
3673375
Hexadecimal
0xF76FD
Base64
D3b9
One's complement
4,293,953,794 (32-bit)
Scientific notation
1.013501 × 10⁶
As a duration
1,013,501 s = 11 days, 17 hours, 31 minutes, 41 seconds
In other bases
ternary (3) 1220111021002
quaternary (4) 3313123331
quinary (5) 224413001
senary (6) 33420045
septenary (7) 11420546
nonary (9) 1814232
undecimal (11) 632505
duodecimal (12) 40a625
tridecimal (13) 296408
tetradecimal (14) 1c54cd
pentadecimal (15) 15046b

As an angle

1,013,501° = 2,815 × 360° + 101°
101° ≈ 1.763 rad
Compass bearing: E (east)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓁨𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓏺
Chinese
一百零一萬三千五百零一
Chinese (financial)
壹佰零壹萬參仟伍佰零壹
In other modern scripts
Eastern Arabic ١٠١٣٥٠١ Devanagari १०१३५०१ Bengali ১০১৩৫০১ Tamil ௧௦௧௩௫௦௧ Thai ๑๐๑๓๕๐๑ Tibetan ༡༠༡༣༥༠༡ Khmer ១០១៣៥០១ Lao ໑໐໑໓໕໐໑ Burmese ၁၀၁၃၅၀၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 1013503.

Hex color
#0F76FD
RGB(15, 118, 253)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.118.253.

Address
0.15.118.253
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.118.253

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

Possible date

Could be parsed as a date. Most likely interpretation: Tuesday, January 1, 3501 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)
  • 3501-10-01 (MMDYYYY (US, single-digit day))
  • 3501-01-10 (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 1,013,501 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.