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1,013,346

1,013,346 is a composite number, even.

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.).

1,013,346 (one million thirteen thousand three hundred forty-six) is an even 7-digit number. It is a composite number with 24 divisors, and factors as 2 × 3² × 19 × 2,963. Its proper divisors sum to 1,298,574, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF7662.

Abundant Number Arithmetic Number Cube-Free Evil Number Harshad / Niven Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
18
Digit product
0
Digital root
9
Palindrome
No
Bit width
20 bits
Reversed
6,433,101
Square (n²)
1,026,870,115,716
Cube (n³)
1,040,574,724,280,345,736
Divisor count
24
σ(n) — sum of divisors
2,311,920
φ(n) — Euler's totient
319,896
Sum of prime factors
2,990

Primality

Prime factorization: 2 × 3 2 × 19 × 2963

Nearest primes: 1,013,329 (−17) · 1,013,377 (+31)

Divisors & multiples

All divisors (24)
1 · 2 · 3 · 6 · 9 · 18 · 19 · 38 · 57 · 114 · 171 · 342 · 2963 · 5926 · 8889 · 17778 · 26667 · 53334 · 56297 · 112594 · 168891 · 337782 · 506673 (half) · 1013346
Aliquot sum (sum of proper divisors): 1,298,574
Factor pairs (a × b = 1,013,346)
1 × 1013346
2 × 506673
3 × 337782
6 × 168891
9 × 112594
18 × 56297
19 × 53334
38 × 26667
57 × 17778
114 × 8889
171 × 5926
342 × 2963
First multiples
1,013,346 · 2,026,692 (double) · 3,040,038 · 4,053,384 · 5,066,730 · 6,080,076 · 7,093,422 · 8,106,768 · 9,120,114 · 10,133,460

Sums & aliquot sequence

As consecutive integers: 337,781 + 337,782 + 337,783 253,335 + 253,336 + 253,337 + 253,338 112,590 + 112,591 + … + 112,598 84,440 + 84,441 + … + 84,451
Aliquot sequence: 1,013,346 1,298,574 1,663,866 2,098,854 2,983,626 3,690,678 3,780,618 3,800,118 4,952,778 4,975,062 4,975,074 7,591,326 7,621,602 8,284,638 8,860,578 8,997,438 9,484,242 — unresolved within range

Continued fraction of √n

√1,013,346 = [1006; (1, 1, 1, 6, 2, 1, 2, 7, 11, 1, 11, 1, 1, 24, 30, 1, 13, 1, 17, 2, 1, 2, 2, 2, …)]

Representations

In words
one million thirteen thousand three hundred forty-six
Ordinal
1013346th
Binary
11110111011001100010
Octal
3673142
Hexadecimal
0xF7662
Base64
D3Zi
One's complement
4,293,953,949 (32-bit)
Scientific notation
1.013346 × 10⁶
As a duration
1,013,346 s = 11 days, 17 hours, 29 minutes, 6 seconds
In other bases
ternary (3) 1220111001100
quaternary (4) 3313121202
quinary (5) 224411341
senary (6) 33415230
septenary (7) 11420235
nonary (9) 1814040
undecimal (11) 632384
duodecimal (12) 40a516
tridecimal (13) 296319
tetradecimal (14) 1c541c
pentadecimal (15) 1503b6

As an angle

1,013,346° = 2,814 × 360° + 306°
306° ≈ 5.341 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Chinese
一百零一萬三千三百四十六
Chinese (financial)
壹佰零壹萬參仟參佰肆拾陸
In other modern scripts
Eastern Arabic ١٠١٣٣٤٦ Devanagari १०१३३४६ Bengali ১০১৩৩৪৬ Tamil ௧௦௧௩௩௪௬ Thai ๑๐๑๓๓๔๖ Tibetan ༡༠༡༣༣༤༦ Khmer ១០១៣៣៤៦ Lao ໑໐໑໓໓໔໖ Burmese ၁၀၁၃၃၄၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1013346, here are decompositions:

  • 17 + 1013329 = 1013346
  • 67 + 1013279 = 1013346
  • 79 + 1013267 = 1013346
  • 83 + 1013263 = 1013346
  • 97 + 1013249 = 1013346
  • 107 + 1013239 = 1013346
  • 109 + 1013237 = 1013346
  • 149 + 1013197 = 1013346

Showing the first eight; more decompositions exist.

Hex color
#0F7662
RGB(15, 118, 98)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.118.98.

Address
0.15.118.98
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.118.98

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

Possible date

Could be parsed as a date. Most likely interpretation: Saturday, January 1, 3346 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)
  • 3346-10-01 (MMDYYYY (US, single-digit day))
  • 3346-01-10 (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 1,013,346 and was likely granted around 1911.

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

Related reading

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.