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1,026,101

1,026,101 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.).

1,026,101 (one million twenty-six thousand one hundred one) is an odd 7-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xFA835.

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

Interestingness

Properties

Parity
Odd
Digit count
7
Digit sum
11
Digit product
0
Digital root
2
Palindrome
No
Bit width
20 bits
Reversed
1,016,201
Square (n²)
1,052,883,262,201
Cube (n³)
1,080,364,568,227,708,301
Divisor count
2
σ(n) — sum of divisors
1,026,102
φ(n) — Euler's totient
1,026,100

Primality

1,026,101 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 1026101
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 1,026,101)
1 × 1026101
First multiples
1,026,101 · 2,052,202 (double) · 3,078,303 · 4,104,404 · 5,130,505 · 6,156,606 · 7,182,707 · 8,208,808 · 9,234,909 · 10,261,010

Sums & aliquot sequence

As a sum of two squares: 551² + 850²
As consecutive integers: 513,050 + 513,051

Continued fraction of √n

√1,026,101 = [1012; (1, 28, 1, 3, 1, 5, 2, 8, 1, 25, 1, 3, 4, 1, 1, 1, 64, 1, 2, 2, 3, 6, 2, 1, …)]

Representations

In words
one million twenty-six thousand one hundred one
Ordinal
1026101st
Binary
11111010100000110101
Octal
3724065
Hexadecimal
0xFA835
Base64
D6g1
One's complement
4,293,941,194 (32-bit)
Scientific notation
1.026101 × 10⁶
As a duration
1,026,101 s = 11 days, 21 hours, 1 minute, 41 seconds
In other bases
ternary (3) 1221010112202
quaternary (4) 3322200311
quinary (5) 230313401
senary (6) 33554245
septenary (7) 11502356
nonary (9) 1833482
undecimal (11) 640a1a
duodecimal (12) 415985
tridecimal (13) 29c07b
tetradecimal (14) 1c9d2d
pentadecimal (15) 15406b

As an angle

1,026,101° = 2,850 × 360° + 101°
101° ≈ 1.763 rad
Compass bearing: E (east)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓏺
Chinese
一百零二萬六千一百零一
Chinese (financial)
壹佰零貳萬陸仟壹佰零壹
In other modern scripts
Eastern Arabic ١٠٢٦١٠١ Devanagari १०२६१०१ Bengali ১০২৬১০১ Tamil ௧௦௨௬௧௦௧ Thai ๑๐๒๖๑๐๑ Tibetan ༡༠༢༦༡༠༡ Khmer ១០២៦១០១ Lao ໑໐໒໖໑໐໑ Burmese ၁၀၂၆၁၀၁

Also seen as

Prime neighborhood

Adjacent primes:

Hex color
#0FA835
RGB(15, 168, 53)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.168.53.

Address
0.15.168.53
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.168.53

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

Possible date

Could be parsed as a date. Most likely interpretation: Sunday, January 2, 6101 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 6101-02-01 (DMMYYYY (Euro, single-digit day))
  • 6101-10-02 (MMDYYYY (US, single-digit day))
  • 6101-02-10 (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 1,026,101 and was likely granted around 1912.

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

Position in π

The digit sequence 1026101 first appears in π at position 754,921 of the decimal expansion (the 754,921ordinal-suffix:st 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.