Live analysis

1,001,034

1,001,034 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.).

1,001,034 (one million one thousand thirty-four) is an even 7-digit number. It is a composite number with 24 divisors, and factors as 2 × 3² × 19 × 2,927. Its proper divisors sum to 1,282,806, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF464A.

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

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

1,001,022 1,001,023 1,001,024 1,001,025 1,001,026 1,001,027 1,001,028 1,001,029 1,001,030 1,001,031 1,001,032 1,001,033 1,001,034 1,001,035 1,001,036 1,001,037 1,001,038 1,001,039 1,001,040 1,001,041 1,001,042 1,001,043 1,001,044 1,001,045 1,001,046

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 9
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 20 bits
Reversed: 4,301,001
Square (n²): 1,002,069,069,156
Cube (n³): 1,003,105,208,573,507,304
Divisor count: 24
σ(n) — sum of divisors: 2,283,840
φ(n) — Euler's totient: 316,008
Sum of prime factors: 2,954

Primality

Prime factorization: 2 × 3 ² × 19 × 2927

Nearest primes: 1,001,027 (−7) · 1,001,041 (+7)

Divisors & multiples

All divisors (24)

1 · 2 · 3 · 6 · 9 · 18 · 19 · 38 · 57 · 114 · 171 · 342 · 2927 · 5854 · 8781 · 17562 · 26343 · 52686 · 55613 · 111226 · 166839 · 333678 · 500517 (half) · 1001034

Aliquot sum (sum of proper divisors): 1,282,806

Factor pairs (a × b = 1,001,034)

1 × 1001034

2 × 500517

3 × 333678

6 × 166839

9 × 111226

18 × 55613

19 × 52686

38 × 26343

57 × 17562

114 × 8781

171 × 5854

342 × 2927

First multiples

1,001,034 · 2,002,068 (double) · 3,003,102 · 4,004,136 · 5,005,170 · 6,006,204 · 7,007,238 · 8,008,272 · 9,009,306 · 10,010,340

Sums & aliquot sequence

As consecutive integers: 333,677 + 333,678 + 333,679 250,257 + 250,258 + 250,259 + 250,260 111,222 + 111,223 + … + 111,230 83,414 + 83,415 + … + 83,425

Aliquot sequence: 1,001,034 → 1,282,806 → 1,893,978 → 2,306,790 → 4,112,298 → 4,797,720 → 10,796,040 → 24,292,260 → 53,283,420 → 119,423,268 → 207,007,452 → 375,596,388 → 595,069,308 → 965,062,692 → 1,701,470,268 → 2,712,074,868 → 4,168,222,192 — unresolved within range

Continued fraction of √n

√1,001,034 = [1000; (1, 1, 14, 3, 9, 1, 3, 1, 1, 4, 5, 1, 3, 16, 3, 1, 1, 1, 1, 3, 2, 1, 5, 2, …)]

Representations

In words: one million one thousand thirty-four
Ordinal: 1001034th
Binary: 11110100011001001010
Octal: 3643112
Hexadecimal: 0xF464A
Base64: D0ZK
One's complement: 4,293,966,261 (32-bit)
Scientific notation: 1.001034 × 10⁶
As a duration: 1,001,034 s = 11 days, 14 hours, 3 minutes, 54 seconds

In other bases

ternary (3) 1212212011100

quaternary (4) 3310121022

quinary (5) 224013114

senary (6) 33242230

septenary (7) 11336316

nonary (9) 1785140

undecimal (11) 624101

duodecimal (12) 403376

tridecimal (13) 290838

tetradecimal (14) 1c0b46

pentadecimal (15) 14b909

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Chinese: 一百萬一千零三十四
Chinese (financial): 壹佰萬壹仟零參拾肆

In other modern scripts

Eastern Arabic ١٠٠١٠٣٤ Devanagari १००१०३४ Bengali ১০০১০৩৪ Tamil ௧௦௦௧௦௩௪ Thai ๑๐๐๑๐๓๔ Tibetan ༡༠༠༡༠༣༤ Khmer ១០០១០៣៤ Lao ໑໐໐໑໐໓໔ Burmese ၁၀၀၁၀၃၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1001034, here are decompositions:

7 + 1001027 = 1001034
11 + 1001023 = 1001034
17 + 1001017 = 1001034
31 + 1001003 = 1001034
53 + 1000981 = 1001034
61 + 1000973 = 1001034
103 + 1000931 = 1001034
113 + 1000921 = 1001034

Showing the first eight; more decompositions exist.

Hex color

#0F464A

RGB(15, 70, 74)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.70.74.

Address: 0.15.70.74
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.70.74

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 1,001,034 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 US1,001,034 on Google Patents ↗ Look up on USPTO ↗