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1,012,421

1,012,421 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.).

1,012,421 (one million twelve thousand four 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, 0xF72C5.

Arithmetic Number Chen Prime Cube-Free Deficient Number Evil Number Prime Pythagorean Prime Sophie Germain 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
1,242,101
Square (n²)
1,024,996,281,241
Cube (n³)
1,037,727,760,050,294,461
Divisor count
2
σ(n) — sum of divisors
1,012,422
φ(n) — Euler's totient
1,012,420

Primality

1,012,421 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 1012421
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 1,012,421)
1 × 1012421
First multiples
1,012,421 · 2,024,842 (double) · 3,037,263 · 4,049,684 · 5,062,105 · 6,074,526 · 7,086,947 · 8,099,368 · 9,111,789 · 10,124,210

Sums & aliquot sequence

As a sum of two squares: 514² + 865²
As consecutive integers: 506,210 + 506,211

Continued fraction of √n

√1,012,421 = [1006; (5, 4, 2, 2, 2, 5, 1, 20, 2, 1, 19, 2, 4, 1, 2, 3, 9, 5, 6, 1, 4, 2, 3, 3, …)]

Representations

In words
one million twelve thousand four hundred twenty-one
Ordinal
1012421st
Binary
11110111001011000101
Octal
3671305
Hexadecimal
0xF72C5
Base64
D3LF
One's complement
4,293,954,874 (32-bit)
Scientific notation
1.012421 × 10⁶
As a duration
1,012,421 s = 11 days, 17 hours, 13 minutes, 41 seconds
In other bases
ternary (3) 1220102210002
quaternary (4) 3313023011
quinary (5) 224344141
senary (6) 33411045
septenary (7) 11414444
nonary (9) 1812702
undecimal (11) 631713
duodecimal (12) 409a85
tridecimal (13) 295a87
tetradecimal (14) 1c4d5b
pentadecimal (15) 14ee9b

As an angle

1,012,421° = 2,812 × 360° + 101°
101° ≈ 1.763 rad
Compass bearing: E (east)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓁨𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓏺
Chinese
一百零一萬二千四百二十一
Chinese (financial)
壹佰零壹萬貳仟肆佰貳拾壹
In other modern scripts
Eastern Arabic ١٠١٢٤٢١ Devanagari १०१२४२१ Bengali ১০১২৪২১ Tamil ௧௦௧௨௪௨௧ Thai ๑๐๑๒๔๒๑ Tibetan ༡༠༡༢༤༢༡ Khmer ១០១២៤២១ Lao ໑໐໑໒໔໒໑ Burmese ၁၀၁၂၄၂၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 1012423.

Hex color
#0F72C5
RGB(15, 114, 197)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.114.197.

Address
0.15.114.197
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.114.197

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

Possible date

Could be parsed as a date. Most likely interpretation: Friday, January 1, 2421 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)
  • 2421-10-01 (MMDYYYY (US, single-digit day))
  • 2421-01-10 (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 1,012,421 and was likely granted around 1911.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Position in π

The digit sequence 1012421 first appears in π at position 185,033 of the decimal expansion (the 185,033ordinal-suffix:rd digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.

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.