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1,013,729

1,013,729 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.).

1,013,729 (one million thirteen 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, 0xF77E1.

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

Interestingness

Properties

Parity
Odd
Digit count
7
Digit sum
23
Digit product
0
Digital root
5
Palindrome
No
Bit width
20 bits
Reversed
9,273,101
Square (n²)
1,027,646,485,441
Cube (n³)
1,041,755,044,039,619,489
Divisor count
2
σ(n) — sum of divisors
1,013,730
φ(n) — Euler's totient
1,013,728

Primality

1,013,729 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 1013729
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 1,013,729)
1 × 1013729
First multiples
1,013,729 · 2,027,458 (double) · 3,041,187 · 4,054,916 · 5,068,645 · 6,082,374 · 7,096,103 · 8,109,832 · 9,123,561 · 10,137,290

Sums & aliquot sequence

As a sum of two squares: 580² + 823²
As consecutive integers: 506,864 + 506,865

Continued fraction of √n

√1,013,729 = [1006; (1, 5, 3, 2, 2, 3, 1, 1, 2, 4, 1, 2, 6, 1, 4, 3, 2, 62, 2, 49, 1, 5, 2, 46, …)]

Representations

In words
one million thirteen thousand seven hundred twenty-nine
Ordinal
1013729th
Binary
11110111011111100001
Octal
3673741
Hexadecimal
0xF77E1
Base64
D3fh
One's complement
4,293,953,566 (32-bit)
Scientific notation
1.013729 × 10⁶
As a duration
1,013,729 s = 11 days, 17 hours, 35 minutes, 29 seconds
In other bases
ternary (3) 1220111120112
quaternary (4) 3313133201
quinary (5) 224414404
senary (6) 33421105
septenary (7) 11421323
nonary (9) 1814515
undecimal (11) 6326a2
duodecimal (12) 40a795
tridecimal (13) 296552
tetradecimal (14) 1c5613
pentadecimal (15) 15056e

As an angle

1,013,729° = 2,815 × 360° + 329°
329° ≈ 5.742 rad
Compass bearing: NNW (north-northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese
一百零一萬三千七百二十九
Chinese (financial)
壹佰零壹萬參仟柒佰貳拾玖
In other modern scripts
Eastern Arabic ١٠١٣٧٢٩ Devanagari १०१३७२९ Bengali ১০১৩৭২৯ Tamil ௧௦௧௩௭௨௯ Thai ๑๐๑๓๗๒๙ Tibetan ༡༠༡༣༧༢༩ Khmer ១០១៣៧២៩ Lao ໑໐໑໓໗໒໙ Burmese ၁၀၁၃၇၂၉

Also seen as

Prime neighborhood

Adjacent primes:

Hex color
#0F77E1
RGB(15, 119, 225)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.119.225.

Address
0.15.119.225
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.119.225

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

Possible date

Could be parsed as a date. Most likely interpretation: Saturday, January 1, 3729 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)
  • 3729-10-01 (MMDYYYY (US, single-digit day))
  • 3729-01-10 (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 1,013,729 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 1013729 first appears in π at position 159,244 of the decimal expansion (the 159,244ordinal-suffix:th 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.