Live analysis

1,002,084

1,002,084 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.).

1,002,084 (one million two thousand eighty-four) is an even 7-digit number. It is a composite number with 24 divisors, and factors as 2² × 3 × 113 × 739. Its proper divisors sum to 1,359,996, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF4A64.

Abundant Number Arithmetic Number Cube-Free Evil Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

1,002,072 1,002,073 1,002,074 1,002,075 1,002,076 1,002,077 1,002,078 1,002,079 1,002,080 1,002,081 1,002,082 1,002,083 1,002,084 1,002,085 1,002,086 1,002,087 1,002,088 1,002,089 1,002,090 1,002,091 1,002,092 1,002,093 1,002,094 1,002,095 1,002,096

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 15
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 20 bits
Reversed: 4,802,001
Square (n²): 1,004,172,343,056
Cube (n³): 1,006,265,038,218,928,704
Divisor count: 24
σ(n) — sum of divisors: 2,362,080
φ(n) — Euler's totient: 330,624
Sum of prime factors: 859

Primality

Prime factorization: 2 ² × 3 × 113 × 739

Nearest primes: 1,002,083 (−1) · 1,002,091 (+7)

Divisors & multiples

All divisors (24)

1 · 2 · 3 · 4 · 6 · 12 · 113 · 226 · 339 · 452 · 678 · 739 · 1356 · 1478 · 2217 · 2956 · 4434 · 8868 · 83507 · 167014 · 250521 · 334028 · 501042 (half) · 1002084

Aliquot sum (sum of proper divisors): 1,359,996

Factor pairs (a × b = 1,002,084)

1 × 1002084

2 × 501042

3 × 334028

4 × 250521

6 × 167014

12 × 83507

113 × 8868

226 × 4434

339 × 2956

452 × 2217

678 × 1478

739 × 1356

First multiples

1,002,084 · 2,004,168 (double) · 3,006,252 · 4,008,336 · 5,010,420 · 6,012,504 · 7,014,588 · 8,016,672 · 9,018,756 · 10,020,840

Sums & aliquot sequence

As consecutive integers: 334,027 + 334,028 + 334,029 125,257 + 125,258 + … + 125,264 41,742 + 41,743 + … + 41,765 8,812 + 8,813 + … + 8,924

Aliquot sequence: 1,002,084 → 1,359,996 → 2,102,148 → 3,211,706 → 1,605,856 → 2,095,520 → 3,565,408 → 5,192,096 → 7,395,808 → 9,435,776 → 12,049,504 → 11,673,020 → 12,840,364 → 9,630,280 → 14,604,920 → 23,151,880 → 33,094,520 — unresolved within range

Continued fraction of √n

√1,002,084 = [1001; (24, 8, 3, 1, 3, 4, 2, 23, 9, 2, 2, 34, 1, 2, 1, 1, 2, 1, 61, 1, 5, 2, 4, 1, …)]

Representations

In words: one million two thousand eighty-four
Ordinal: 1002084th
Binary: 11110100101001100100
Octal: 3645144
Hexadecimal: 0xF4A64
Base64: D0pk
One's complement: 4,293,965,211 (32-bit)
Scientific notation: 1.002084 × 10⁶
As a duration: 1,002,084 s = 11 days, 14 hours, 21 minutes, 24 seconds

In other bases

ternary (3) 1212220121020

quaternary (4) 3310221210

quinary (5) 224031314

senary (6) 33251140

septenary (7) 11342346

nonary (9) 1786536

undecimal (11) 624976

duodecimal (12) 403ab0

tridecimal (13) 291165

tetradecimal (14) 1c1296

pentadecimal (15) 14bda9

As an angle

1,002,084° = 2,783 × 360° + 204°

204° ≈ 3.56 rad

Compass bearing: SSW (south-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Chinese: 一百萬二千零八十四
Chinese (financial): 壹佰萬貳仟零捌拾肆

In other modern scripts

Eastern Arabic ١٠٠٢٠٨٤ Devanagari १००२०८४ Bengali ১০০২০৮৪ Tamil ௧௦௦௨௦௮௪ Thai ๑๐๐๒๐๘๔ Tibetan ༡༠༠༢༠༨༤ Khmer ១០០២០៨៤ Lao ໑໐໐໒໐໘໔ Burmese ၁၀၀၂၀၈၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1002084, here are decompositions:

7 + 1002077 = 1002084
11 + 1002073 = 1002084
23 + 1002061 = 1002084
67 + 1002017 = 1002084
101 + 1001983 = 1002084
103 + 1001981 = 1002084
107 + 1001977 = 1002084
131 + 1001953 = 1002084

Showing the first eight; more decompositions exist.

Hex color

#0F4A64

RGB(15, 74, 100)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.74.100.

Address: 0.15.74.100
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.74.100

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 1,002,084 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 US1,002,084 on Google Patents ↗ Look up on USPTO ↗