Live analysis

1,001,058

1,001,058 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.).

1,001,058 (one million one thousand fifty-eight) is an even 7-digit number. It is a composite number with 8 divisors, and factors as 2 × 3 × 166,843. Its proper divisors sum to 1,001,070, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF4662.

Abundant Number Arithmetic Number Cube-Free Evil Number Happy Number Semiperfect Number Sphenic Number Squarefree

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

1,001,046 1,001,047 1,001,048 1,001,049 1,001,050 1,001,051 1,001,052 1,001,053 1,001,054 1,001,055 1,001,056 1,001,057 1,001,058 1,001,059 1,001,060 1,001,061 1,001,062 1,001,063 1,001,064 1,001,065 1,001,066 1,001,067 1,001,068 1,001,069 1,001,070

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 15
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 20 bits
Reversed: 8,501,001
Square (n²): 1,002,117,119,364
Cube (n³): 1,003,177,359,276,287,112
Divisor count: 8
σ(n) — sum of divisors: 2,002,128
φ(n) — Euler's totient: 333,684
Sum of prime factors: 166,848

Primality

Prime factorization: 2 × 3 × 166843

Nearest primes: 1,001,041 (−17) · 1,001,069 (+11)

Divisors & multiples

All divisors (8)

1 · 2 · 3 · 6 · 166843 · 333686 · 500529 (half) · 1001058

Aliquot sum (sum of proper divisors): 1,001,070

Factor pairs (a × b = 1,001,058)

1 × 1001058

2 × 500529

3 × 333686

6 × 166843

First multiples

1,001,058 · 2,002,116 (double) · 3,003,174 · 4,004,232 · 5,005,290 · 6,006,348 · 7,007,406 · 8,008,464 · 9,009,522 · 10,010,580

Sums & aliquot sequence

As consecutive integers: 333,685 + 333,686 + 333,687 250,263 + 250,264 + 250,265 + 250,266 83,416 + 83,417 + … + 83,427

Aliquot sequence: 1,001,058 → 1,001,070 → 2,039,994 → 2,782,278 → 3,246,030 → 5,193,882 → 6,477,414 → 6,477,426 → 8,225,262 → 9,596,178 → 13,443,822 → 21,300,498 → 25,008,570 → 40,340,142 → 47,063,538 → 58,963,662 → 71,510,994 — unresolved within range

Continued fraction of √n

√1,001,058 = [1000; (1, 1, 8, 6, 6, 2, 3, 1, 2, 1, 1, 24, 1, 3, 17, 2, 5, 5, 2, 7, 1, 19, 1, 2, …)]

Representations

In words: one million one thousand fifty-eight
Ordinal: 1001058th
Binary: 11110100011001100010
Octal: 3643142
Hexadecimal: 0xF4662
Base64: D0Zi
One's complement: 4,293,966,237 (32-bit)
Scientific notation: 1.001058 × 10⁶
As a duration: 1,001,058 s = 11 days, 14 hours, 4 minutes, 18 seconds

In other bases

ternary (3) 1212212012020

quaternary (4) 3310121202

quinary (5) 224013213

senary (6) 33242310

septenary (7) 11336352

nonary (9) 1785166

undecimal (11) 624123

duodecimal (12) 403396

tridecimal (13) 290856

tetradecimal (14) 1c0b62

pentadecimal (15) 14b923

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese: 一百萬一千零五十八
Chinese (financial): 壹佰萬壹仟零伍拾捌

In other modern scripts

Eastern Arabic ١٠٠١٠٥٨ Devanagari १००१०५८ Bengali ১০০১০৫৮ Tamil ௧௦௦௧௦௫௮ Thai ๑๐๐๑๐๕๘ Tibetan ༡༠༠༡༠༥༨ Khmer ១០០១០៥៨ Lao ໑໐໐໑໐໕໘ Burmese ၁၀၀၁၀၅၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1001058, here are decompositions:

17 + 1001041 = 1001058
31 + 1001027 = 1001058
41 + 1001017 = 1001058
59 + 1000999 = 1001058
89 + 1000969 = 1001058
127 + 1000931 = 1001058
137 + 1000921 = 1001058
139 + 1000919 = 1001058

Showing the first eight; more decompositions exist.

Hex color

#0F4662

RGB(15, 70, 98)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.70.98.

Address: 0.15.70.98
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.70.98

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

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 1,001,058 and was likely granted around 1911.

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

Look up US1,001,058 on Google Patents ↗ Look up on USPTO ↗