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1,031,521

1,031,521 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.).

1,031,521 (one million thirty-one thousand five hundred twenty-one) is an odd 7-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xFBD61.

Arithmetic Number Cube-Free Deficient Number Emirp Odious Number Pernicious Number Prime Pythagorean Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
7
Digit sum
13
Digit product
0
Digital root
4
Palindrome
No
Bit width
20 bits
Reversed
1,251,301
Square (n²)
1,064,035,573,441
Cube (n³)
1,097,575,038,751,433,761
Divisor count
2
σ(n) — sum of divisors
1,031,522
φ(n) — Euler's totient
1,031,520

Primality

1,031,521 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 1031521
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 1,031,521)
1 × 1031521
First multiples
1,031,521 · 2,063,042 (double) · 3,094,563 · 4,126,084 · 5,157,605 · 6,189,126 · 7,220,647 · 8,252,168 · 9,283,689 · 10,315,210

Sums & aliquot sequence

As a sum of two squares: 36² + 1,015²
As consecutive integers: 515,760 + 515,761

Continued fraction of √n

√1,031,521 = [1015; (1, 1, 1, 3, 4, 5, 1, 4, 3, 3, 3, 5, 1, 6, 1, 3, 3, 1, 1, 4, 4, 4, 13, 4, …)]

Representations

In words
one million thirty-one thousand five hundred twenty-one
Ordinal
1031521st
Binary
11111011110101100001
Octal
3736541
Hexadecimal
0xFBD61
Base64
D71h
One's complement
4,293,935,774 (32-bit)
Scientific notation
1.031521 × 10⁶
As a duration
1,031,521 s = 11 days, 22 hours, 32 minutes, 1 second
In other bases
ternary (3) 1221101222111
quaternary (4) 3323311201
quinary (5) 231002041
senary (6) 34035321
septenary (7) 11524231
nonary (9) 1841874
undecimal (11) 644aa7
duodecimal (12) 418b41
tridecimal (13) 2a168a
tetradecimal (14) 1cbcc1
pentadecimal (15) 155981

As an angle

1,031,521° = 2,865 × 360° + 121°
121° ≈ 2.112 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹 𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺
Chinese
一百零三萬一千五百二十一
Chinese (financial)
壹佰零參萬壹仟伍佰貳拾壹
In other modern scripts
Eastern Arabic ١٠٣١٥٢١ Devanagari १०३१५२१ Bengali ১০৩১৫২১ Tamil ௧௦௩௧௫௨௧ Thai ๑๐๓๑๕๒๑ Tibetan ༡༠༣༡༥༢༡ Khmer ១០៣១៥២១ Lao ໑໐໓໑໕໒໑ Burmese ၁၀၃၁၅၂၁

Also seen as

Prime neighborhood

Adjacent primes:

Hex color
#0FBD61
RGB(15, 189, 97)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.189.97.

Address
0.15.189.97
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.189.97

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

Possible date

Could be parsed as a date. Most likely interpretation: Monday, January 3, 1521 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 1521-03-01 (DMMYYYY (Euro, single-digit day))
  • 1521-10-03 (MMDYYYY (US, single-digit day))
  • 1521-03-10 (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 1,031,521 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.