Live analysis

1,040,004

1,040,004 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.).

1,040,004 (one million forty thousand four) is an even 7-digit number. It is a composite number with 36 divisors, and factors as 2² × 3² × 7 × 4,127. Its proper divisors sum to 1,965,180, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xFDE84.

Abundant Number Cube-Free Evil Number Gapful Number Harshad / Niven Refactorable Number Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,039,992 1,039,993 1,039,994 1,039,995 1,039,996 1,039,997 1,039,998 1,039,999 1,040,000 1,040,001 1,040,002 1,040,003 1,040,004 1,040,005 1,040,006 1,040,007 1,040,008 1,040,009 1,040,010 1,040,011 1,040,012 1,040,013 1,040,014 1,040,015 1,040,016

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 9
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 20 bits
Reversed: 4,000,401
Square (n²): 1,081,608,320,016
Cube (n³): 1,124,876,979,249,920,064
Divisor count: 36
σ(n) — sum of divisors: 3,005,184
φ(n) — Euler's totient: 297,072
Sum of prime factors: 4,144

Primality

Prime factorization: 2 ² × 3 ² × 7 × 4127

Nearest primes: 1,039,999 (−5) · 1,040,021 (+17)

Divisors & multiples

All divisors (36)

1 · 2 · 3 · 4 · 6 · 7 · 9 · 12 · 14 · 18 · 21 · 28 · 36 · 42 · 63 · 84 · 126 · 252 · 4127 · 8254 · 12381 · 16508 · 24762 · 28889 · 37143 · 49524 · 57778 · 74286 · 86667 · 115556 · 148572 · 173334 · 260001 · 346668 · 520002 (half) · 1040004

Aliquot sum (sum of proper divisors): 1,965,180

Factor pairs (a × b = 1,040,004)

1 × 1040004

2 × 520002

3 × 346668

4 × 260001

6 × 173334

7 × 148572

9 × 115556

12 × 86667

14 × 74286

18 × 57778

21 × 49524

28 × 37143

36 × 28889

42 × 24762

63 × 16508

84 × 12381

126 × 8254

252 × 4127

First multiples

1,040,004 · 2,080,008 (double) · 3,120,012 · 4,160,016 · 5,200,020 · 6,240,024 · 7,280,028 · 8,320,032 · 9,360,036 · 10,400,040

Sums & aliquot sequence

As consecutive integers: 346,667 + 346,668 + 346,669 148,569 + 148,570 + … + 148,575 129,997 + 129,998 + … + 130,004 115,552 + 115,553 + … + 115,560

Aliquot sequence: 1,040,004 → 1,965,180 → 4,324,740 → 9,771,132 → 16,598,148 → 27,663,804 → 52,893,764 → 62,511,484 → 62,889,316 → 69,510,364 → 82,149,284 → 92,363,740 → 129,309,572 → 139,420,540 → 200,880,260 → 282,045,820 → 413,171,780 — unresolved within range

Continued fraction of √n

√1,040,004 = [1019; (1, 4, 6, 1, 1, 1, 1, 1, 3, 1, 2, 1, 11, 5, 4, 1, 2, 2, 2, 8, 1, 1, 1, 7, …)]

Representations

In words: one million forty thousand four
Ordinal: 1040004th
Binary: 11111101111010000100
Octal: 3757204
Hexadecimal: 0xFDE84
Base64: D96E
One's complement: 4,293,927,291 (32-bit)
Scientific notation: 1.040004 × 10⁶
As a duration: 1,040,004 s = 12 days, 53 minutes, 24 seconds

In other bases

ternary (3) 1221211121200

quaternary (4) 3331322010

quinary (5) 231240004

senary (6) 34142500

septenary (7) 11561040

nonary (9) 1854550

undecimal (11) 650409

duodecimal (12) 421a30

tridecimal (13) 2a54b4

tetradecimal (14) 1d1020

pentadecimal (15) 158239

As an angle

1,040,004° = 2,888 × 360° + 324°

324° ≈ 5.655 rad

Compass bearing: NW (northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓂍𓂍𓂍𓂍𓏺𓏺𓏺𓏺
Chinese: 一百零四萬零四
Chinese (financial): 壹佰零肆萬零肆

In other modern scripts

Eastern Arabic ١٠٤٠٠٠٤ Devanagari १०४०००४ Bengali ১০৪০০০৪ Tamil ௧௦௪௦௦௦௪ Thai ๑๐๔๐๐๐๔ Tibetan ༡༠༤༠༠༠༤ Khmer ១០៤០០០៤ Lao ໑໐໔໐໐໐໔ Burmese ၁၀၄၀၀၀၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1040004, here are decompositions:

5 + 1039999 = 1040004
61 + 1039943 = 1040004
73 + 1039931 = 1040004
83 + 1039921 = 1040004
103 + 1039901 = 1040004
107 + 1039897 = 1040004
113 + 1039891 = 1040004
167 + 1039837 = 1040004

Showing the first eight; more decompositions exist.

Hex color

#0FDE84

RGB(15, 222, 132)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.222.132.

Address: 0.15.222.132
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.222.132

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

Possible date

Could be parsed as a date. Most likely interpretation: Sunday, January 4, 0004 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)

0004-04-01 (DMMYYYY (Euro, single-digit day))
0004-10-04 (MMDYYYY (US, single-digit day))
0004-04-10 (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 1,040,004 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 US1,040,004 on Google Patents ↗ Look up on USPTO ↗