number.wiki
Live analysis

1,013,058

1,013,058 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.).

1,013,058 (one million thirteen thousand fifty-eight) is an even 7-digit number. It is a composite number with 24 divisors, and factors as 2 × 3² × 23 × 2,447. Its proper divisors sum to 1,278,270, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF7542.

Abundant Number Arithmetic Number Cube-Free Gapful Number Happy Number Harshad / Niven Odious Number Pernicious Number Self Number 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
8,503,101
Square (n²)
1,026,286,511,364
Cube (n³)
1,039,687,760,629,391,112
Divisor count
24
σ(n) — sum of divisors
2,291,328
φ(n) — Euler's totient
322,872
Sum of prime factors
2,478

Primality

Prime factorization: 2 × 3 2 × 23 × 2447

Nearest primes: 1,013,053 (−5) · 1,013,063 (+5)

Divisors & multiples

All divisors (24)
1 · 2 · 3 · 6 · 9 · 18 · 23 · 46 · 69 · 138 · 207 · 414 · 2447 · 4894 · 7341 · 14682 · 22023 · 44046 · 56281 · 112562 · 168843 · 337686 · 506529 (half) · 1013058
Aliquot sum (sum of proper divisors): 1,278,270
Factor pairs (a × b = 1,013,058)
1 × 1013058
2 × 506529
3 × 337686
6 × 168843
9 × 112562
18 × 56281
23 × 44046
46 × 22023
69 × 14682
138 × 7341
207 × 4894
414 × 2447
First multiples
1,013,058 · 2,026,116 (double) · 3,039,174 · 4,052,232 · 5,065,290 · 6,078,348 · 7,091,406 · 8,104,464 · 9,117,522 · 10,130,580

Sums & aliquot sequence

As consecutive integers: 337,685 + 337,686 + 337,687 253,263 + 253,264 + 253,265 + 253,266 112,558 + 112,559 + … + 112,566 84,416 + 84,417 + … + 84,427
Aliquot sequence: 1,013,058 1,278,270 2,521,890 4,973,598 7,564,122 9,296,592 14,719,728 23,306,360 47,610,760 59,925,200 87,972,700 111,708,964 83,781,730 70,234,910 59,128,786 29,660,894 14,830,450 — unresolved within range

Continued fraction of √n

√1,013,058 = [1006; (1, 1, 31, 2, 4, 1, 3, 4, 3, 3, 3, 2, 1, 5, 1, 1, 4, 10, 4, 1, 3, 4, 17, 1, …)]

Representations

In words
one million thirteen thousand fifty-eight
Ordinal
1013058th
Binary
11110111010101000010
Octal
3672502
Hexadecimal
0xF7542
Base64
D3VC
One's complement
4,293,954,237 (32-bit)
Scientific notation
1.013058 × 10⁶
As a duration
1,013,058 s = 11 days, 17 hours, 24 minutes, 18 seconds
In other bases
ternary (3) 1220110122200
quaternary (4) 3313111002
quinary (5) 224404213
senary (6) 33414030
septenary (7) 11416344
nonary (9) 1813580
undecimal (11) 632142
duodecimal (12) 40a316
tridecimal (13) 296157
tetradecimal (14) 1c5294
pentadecimal (15) 150273

As an angle

1,013,058° = 2,814 × 360° + 18°
18° ≈ 0.314 rad
Compass bearing: NNE (north-northeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese
一百零一萬三千零五十八
Chinese (financial)
壹佰零壹萬參仟零伍拾捌
In other modern scripts
Eastern Arabic ١٠١٣٠٥٨ Devanagari १०१३०५८ Bengali ১০১৩০৫৮ Tamil ௧௦௧௩௦௫௮ Thai ๑๐๑๓๐๕๘ Tibetan ༡༠༡༣༠༥༨ Khmer ១០១៣០៥៨ Lao ໑໐໑໓໐໕໘ Burmese ၁၀၁၃၀၅၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1013058, here are decompositions:

  • 5 + 1013053 = 1013058
  • 17 + 1013041 = 1013058
  • 29 + 1013029 = 1013058
  • 61 + 1012997 = 1013058
  • 127 + 1012931 = 1013058
  • 139 + 1012919 = 1013058
  • 197 + 1012861 = 1013058
  • 227 + 1012831 = 1013058

Showing the first eight; more decompositions exist.

Hex color
#0F7542
RGB(15, 117, 66)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.117.66.

Address
0.15.117.66
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.117.66

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

Possible date

Could be parsed as a date. Most likely interpretation: Friday, January 1, 3058 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)
  • 3058-10-01 (MMDYYYY (US, single-digit day))
  • 3058-01-10 (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 1,013,058 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°.