Live analysis

1,058,000

1,058,000 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.).

1,058,000 (one million fifty-eight thousand) is an even 7-digit number. It is a composite number with 60 divisors, and factors as 2⁴ × 5³ × 23². Its proper divisors sum to 1,616,308, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1024D0.

Abundant Number Achilles Number Evil Number Gapful Number Powerful Number Practical Number Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,057,988 1,057,989 1,057,990 1,057,991 1,057,992 1,057,993 1,057,994 1,057,995 1,057,996 1,057,997 1,057,998 1,057,999 1,058,000 1,058,001 1,058,002 1,058,003 1,058,004 1,058,005 1,058,006 1,058,007 1,058,008 1,058,009 1,058,010 1,058,011 1,058,012

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 14
Digit product: 0
Digital root: 5
Palindrome: No
Bit width: 21 bits
Reversed: 8,501
Square (n²): 1,119,364,000,000
Cube (n³): 1,184,287,112,000,000,000
Divisor count: 60
σ(n) — sum of divisors: 2,674,308
φ(n) — Euler's totient: 404,800
Sum of prime factors: 69

Primality

Prime factorization: 2 ⁴ × 5 ³ × 23 ²

Nearest primes: 1,057,993 (−7) · 1,058,009 (+9)

Divisors & multiples

All divisors (60)

1 · 2 · 4 · 5 · 8 · 10 · 16 · 20 · 23 · 25 · 40 · 46 · 50 · 80 · 92 · 100 · 115 · 125 · 184 · 200 · 230 · 250 · 368 · 400 · 460 · 500 · 529 · 575 · 920 · 1000 · 1058 · 1150 · 1840 · 2000 · 2116 · 2300 · 2645 · 2875 · 4232 · 4600 · 5290 · 5750 · 8464 · 9200 · 10580 · 11500 · 13225 · 21160 · 23000 · 26450 · 42320 · 46000 · 52900 · 66125 · 105800 · 132250 · 211600 · 264500 · 529000 (half) · 1058000

Aliquot sum (sum of proper divisors): 1,616,308

Factor pairs (a × b = 1,058,000)

1 × 1058000

2 × 529000

4 × 264500

5 × 211600

8 × 132250

10 × 105800

16 × 66125

20 × 52900

23 × 46000

25 × 42320

40 × 26450

46 × 23000

50 × 21160

80 × 13225

92 × 11500

100 × 10580

115 × 9200

125 × 8464

184 × 5750

200 × 5290

230 × 4600

250 × 4232

368 × 2875

400 × 2645

460 × 2300

500 × 2116

529 × 2000

575 × 1840

920 × 1150

1000 × 1058

First multiples

1,058,000 · 2,116,000 (double) · 3,174,000 · 4,232,000 · 5,290,000 · 6,348,000 · 7,406,000 · 8,464,000 · 9,522,000 · 10,580,000

Sums & aliquot sequence

As a sum of two squares: 184² + 1,012² = 460² + 920²

As consecutive integers: 211,598 + 211,599 + 211,600 + 211,601 + 211,602 45,989 + 45,990 + … + 46,011 42,308 + 42,309 + … + 42,332 33,047 + 33,048 + … + 33,078

Aliquot sequence: 1,058,000 → 1,616,308 → 1,350,124 → 1,139,636 → 903,664 → 847,216 → 794,296 → 730,304 → 719,020 → 790,964 → 593,230 → 571,874 → 285,940 → 372,536 → 325,984 → 330,224 → 309,616 — unresolved within range

Continued fraction of √n

√1,058,000 = [1028; (1, 1, 2, 4, 5, 1, 1, 81, 1, 2, 1, 9, 10, 1, 2, 81, 1, 16, 1, 2, 1, 16, 1, 81, …)]

Period length 40 — the block in parentheses repeats forever.

Representations

In words: one million fifty-eight thousand
Ordinal: 1058000th
Binary: 100000010010011010000
Octal: 4022320
Hexadecimal: 0x1024D0
Base64: ECTQ
One's complement: 4,293,909,295 (32-bit)
Scientific notation: 1.058 × 10⁶
As a duration: 1,058,000 s = 12 days, 5 hours, 53 minutes, 20 seconds

In other bases

ternary (3) 1222202022012

quaternary (4) 10002103100

quinary (5) 232324000

senary (6) 34402052

septenary (7) 11664356

nonary (9) 1882265

undecimal (11) 662989

duodecimal (12) 430328

tridecimal (13) 2b0748

tetradecimal (14) 1d77d6

pentadecimal (15) 15d735

As an angle

1,058,000° = 2,938 × 360° + 320°

320° ≈ 5.585 rad

Compass bearing: NW (northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic: 𓁨𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼
Chinese: 一百零五萬八千
Chinese (financial): 壹佰零伍萬捌仟

In other modern scripts

Eastern Arabic ١٠٥٨٠٠٠ Devanagari १०५८००० Bengali ১০৫৮০০০ Tamil ௧௦௫௮௦௦௦ Thai ๑๐๕๘๐๐๐ Tibetan ༡༠༥༨༠༠༠ Khmer ១០៥៨០០០ Lao ໑໐໕໘໐໐໐ Burmese ၁၀၅၈၀၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1058000, here are decompositions:

7 + 1057993 = 1058000
19 + 1057981 = 1058000
37 + 1057963 = 1058000
43 + 1057957 = 1058000
103 + 1057897 = 1058000
193 + 1057807 = 1058000
337 + 1057663 = 1058000
367 + 1057633 = 1058000

Showing the first eight; more decompositions exist.

Hex color

#1024D0

RGB(16, 36, 208)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.36.208.

Address: 0.16.36.208
Class: reserved
IPv4-mapped IPv6: ::ffff:0.16.36.208

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

Possible date

Could be parsed as a date. Most likely interpretation: Wednesday, January 5, 8000 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)

8000-05-01 (DMMYYYY (Euro, single-digit day))
8000-10-05 (MMDYYYY (US, single-digit day))
8000-05-10 (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 1,058,000 and was likely granted around 1912.

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

Look up US1,058,000 on Google Patents ↗ Look up on USPTO ↗