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1,061,729

1,061,729 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.).

1,061,729 (one million sixty-one thousand seven hundred twenty-nine) is an odd 7-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x103361.

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

Interestingness

Properties

Parity
Odd
Digit count
7
Digit sum
26
Digit product
0
Digital root
8
Palindrome
No
Bit width
21 bits
Reversed
9,271,601
Square (n²)
1,127,268,469,441
Cube (n³)
1,196,853,624,791,123,489
Divisor count
2
σ(n) — sum of divisors
1,061,730
φ(n) — Euler's totient
1,061,728

Primality

1,061,729 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 1061729
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 1,061,729)
1 × 1061729
First multiples
1,061,729 · 2,123,458 (double) · 3,185,187 · 4,246,916 · 5,308,645 · 6,370,374 · 7,432,103 · 8,493,832 · 9,555,561 · 10,617,290

Sums & aliquot sequence

As a sum of two squares: 620² + 823²
As consecutive integers: 530,864 + 530,865

Continued fraction of √n

√1,061,729 = [1030; (2, 2, 16, 1, 1, 1, 2, 2, 17, 2, 293, 1, 10, 1, 2, 2, 11, 11, 1, 1, 1, 1, 1, 3, …)]

Representations

In words
one million sixty-one thousand seven hundred twenty-nine
Ordinal
1061729th
Binary
100000011001101100001
Octal
4031541
Hexadecimal
0x103361
Base64
EDNh
One's complement
4,293,905,566 (32-bit)
Scientific notation
1.061729 × 10⁶
As a duration
1,061,729 s = 12 days, 6 hours, 55 minutes, 29 seconds
In other bases
ternary (3) 1222221102022
quaternary (4) 10003031201
quinary (5) 232433404
senary (6) 34431225
septenary (7) 12011264
nonary (9) 1887368
undecimal (11) 665769
duodecimal (12) 432515
tridecimal (13) 2b2356
tetradecimal (14) 1d8cdb
pentadecimal (15) 15e8be

As an angle

1,061,729° = 2,949 × 360° + 89°
89° ≈ 1.553 rad
Compass bearing: E (east)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese
一百零六萬一千七百二十九
Chinese (financial)
壹佰零陸萬壹仟柒佰貳拾玖
In other modern scripts
Eastern Arabic ١٠٦١٧٢٩ Devanagari १०६१७२९ Bengali ১০৬১৭২৯ Tamil ௧௦௬௧௭௨௯ Thai ๑๐๖๑๗๒๙ Tibetan ༡༠༦༡༧༢༩ Khmer ១០៦១៧២៩ Lao ໑໐໖໑໗໒໙ Burmese ၁၀၆၁၇၂၉

Also seen as

Prime neighborhood

Adjacent primes:

Hex color
#103361
RGB(16, 51, 97)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.51.97.

Address
0.16.51.97
Class
reserved
IPv4-mapped IPv6
::ffff:0.16.51.97

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

Possible date

Could be parsed as a date. Most likely interpretation: Thursday, January 6, 1729 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 1729-06-01 (DMMYYYY (Euro, single-digit day))
  • 1729-10-06 (MMDYYYY (US, single-digit day))
  • 1729-06-10 (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 1,061,729 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.