Live analysis

1,040,104

1,040,104 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.).

1,040,104 (one million forty thousand one hundred four) is an even 7-digit number. It is a composite number with 32 divisors, and factors as 2³ × 13 × 73 × 137. Its proper divisors sum to 1,104,416, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xFDEE8.

Abundant Number Evil Number Practical Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

2 notable facts · grade F

1,040,092 1,040,093 1,040,094 1,040,095 1,040,096 1,040,097 1,040,098 1,040,099 1,040,100 1,040,101 1,040,102 1,040,103 1,040,104 1,040,105 1,040,106 1,040,107 1,040,108 1,040,109 1,040,110 1,040,111 1,040,112 1,040,113 1,040,114 1,040,115 1,040,116

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 10
Digit product: 0
Digital root: 1
Palindrome: No
Bit width: 20 bits
Reversed: 4,010,401
Square (n²): 1,081,816,330,816
Cube (n³): 1,125,201,492,947,044,864
Divisor count: 32
σ(n) — sum of divisors: 2,144,520
φ(n) — Euler's totient: 470,016
Sum of prime factors: 229

Primality

Prime factorization: 2 ³ × 13 × 73 × 137

Nearest primes: 1,040,101 (−3) · 1,040,113 (+9)

Divisors & multiples

All divisors (32)

1 · 2 · 4 · 8 · 13 · 26 · 52 · 73 · 104 · 137 · 146 · 274 · 292 · 548 · 584 · 949 · 1096 · 1781 · 1898 · 3562 · 3796 · 7124 · 7592 · 10001 · 14248 · 20002 · 40004 · 80008 · 130013 · 260026 · 520052 (half) · 1040104

Aliquot sum (sum of proper divisors): 1,104,416

Factor pairs (a × b = 1,040,104)

1 × 1040104

2 × 520052

4 × 260026

8 × 130013

13 × 80008

26 × 40004

52 × 20002

73 × 14248

104 × 10001

137 × 7592

146 × 7124

274 × 3796

292 × 3562

548 × 1898

584 × 1781

949 × 1096

First multiples

1,040,104 · 2,080,208 (double) · 3,120,312 · 4,160,416 · 5,200,520 · 6,240,624 · 7,280,728 · 8,320,832 · 9,360,936 · 10,401,040

Sums & aliquot sequence

As a sum of two squares: 190² + 1,002² = 210² + 998² = 498² + 890² = 630² + 802²

As consecutive integers: 80,002 + 80,003 + … + 80,014 64,999 + 65,000 + … + 65,014 14,212 + 14,213 + … + 14,284 7,524 + 7,525 + … + 7,660

Aliquot sequence: 1,040,104 → 1,104,416 → 1,069,966 → 667,394 → 636,286 → 478,850 → 432,178 → 219,242 → 109,624 → 99,896 → 87,424 → 86,996 → 101,164 → 101,220 → 224,028 → 439,908 → 733,404 — unresolved within range

Continued fraction of √n

√1,040,104 = [1019; (1, 5, 1, 8, 4, 1, 4, 19, 4, 1, 1, 2, 6, 2, 509, 2, 6, 2, 1, 1, 4, 19, 4, 1, …)]

Period length 30 — the block in parentheses repeats forever.

Representations

In words: one million forty thousand one hundred four
Ordinal: 1040104th
Binary: 11111101111011101000
Octal: 3757350
Hexadecimal: 0xFDEE8
Base64: D97o
One's complement: 4,293,927,191 (32-bit)
Scientific notation: 1.040104 × 10⁶
As a duration: 1,040,104 s = 12 days, 55 minutes, 4 seconds

In other bases

ternary (3) 1221211202101

quaternary (4) 3331323220

quinary (5) 231240404

senary (6) 34143144

septenary (7) 11561242

nonary (9) 1854671

undecimal (11) 65049a

duodecimal (12) 421ab4

tridecimal (13) 2a5560

tetradecimal (14) 1d1092

pentadecimal (15) 1582a4

As an angle

1,040,104° = 2,889 × 360° + 64°

64° ≈ 1.117 rad

Compass bearing: ENE (east-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓂍𓂍𓂍𓂍𓍢𓏺𓏺𓏺𓏺
Chinese: 一百零四萬零一百零四
Chinese (financial): 壹佰零肆萬零壹佰零肆

In other modern scripts

Eastern Arabic ١٠٤٠١٠٤ Devanagari १०४०१०४ Bengali ১০৪০১০৪ Tamil ௧௦௪௦௧௦௪ Thai ๑๐๔๐๑๐๔ Tibetan ༡༠༤༠༡༠༤ Khmer ១០៤០១០៤ Lao ໑໐໔໐໑໐໔ Burmese ၁၀၄၀၁၀၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1040104, here are decompositions:

3 + 1040101 = 1040104
11 + 1040093 = 1040104
47 + 1040057 = 1040104
53 + 1040051 = 1040104
83 + 1040021 = 1040104
173 + 1039931 = 1040104
281 + 1039823 = 1040104
587 + 1039517 = 1040104

Showing the first eight; more decompositions exist.

Hex color

#0FDEE8

RGB(15, 222, 232)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.222.232.

Address: 0.15.222.232
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.222.232

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

Possible date

Could be parsed as a date. Most likely interpretation: Friday, January 4, 0104 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)

0104-04-01 (DMMYYYY (Euro, single-digit day))
0104-10-04 (MMDYYYY (US, single-digit day))
0104-04-10 (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 1,040,104 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 US1,040,104 on Google Patents ↗ Look up on USPTO ↗