Live analysis

1,001,104

1,001,104 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.).

1,001,104 (one million one thousand one hundred four) is an even 7-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 13 × 4,813. Its proper divisors sum to 1,088,172, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF4690.

Abundant Number Happy Number Odious Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

2 notable facts · grade F

1,001,092 1,001,093 1,001,094 1,001,095 1,001,096 1,001,097 1,001,098 1,001,099 1,001,100 1,001,101 1,001,102 1,001,103 1,001,104 1,001,105 1,001,106 1,001,107 1,001,108 1,001,109 1,001,110 1,001,111 1,001,112 1,001,113 1,001,114 1,001,115 1,001,116

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Properties

Parity: Even
Digit count: 7
Digit sum: 7
Digit product: 0
Digital root: 7
Palindrome: No
Bit width: 20 bits
Reversed: 4,011,001
Square (n²): 1,002,209,218,816
Cube (n³): 1,003,315,657,793,572,864
Divisor count: 20
σ(n) — sum of divisors: 2,089,276
φ(n) — Euler's totient: 461,952
Sum of prime factors: 4,834

Primality

Prime factorization: 2 ⁴ × 13 × 4813

Nearest primes: 1,001,093 (−11) · 1,001,107 (+3)

Divisors & multiples

All divisors (20)

1 · 2 · 4 · 8 · 13 · 16 · 26 · 52 · 104 · 208 · 4813 · 9626 · 19252 · 38504 · 62569 · 77008 · 125138 · 250276 · 500552 (half) · 1001104

Aliquot sum (sum of proper divisors): 1,088,172

Factor pairs (a × b = 1,001,104)

1 × 1001104

2 × 500552

4 × 250276

8 × 125138

13 × 77008

16 × 62569

26 × 38504

52 × 19252

104 × 9626

208 × 4813

First multiples

1,001,104 · 2,002,208 (double) · 3,003,312 · 4,004,416 · 5,005,520 · 6,006,624 · 7,007,728 · 8,008,832 · 9,009,936 · 10,011,040

Sums & aliquot sequence

As a sum of two squares: 320² + 948² = 660² + 752²

As consecutive integers: 77,002 + 77,003 + … + 77,014 31,269 + 31,270 + … + 31,300 2,199 + 2,200 + … + 2,614

Aliquot sequence: 1,001,104 → 1,088,172 → 1,694,244 → 2,327,676 → 3,674,628 → 5,713,660 → 6,807,716 → 5,124,316 → 4,161,380 → 5,273,500 → 6,520,100 → 7,778,464 → 7,535,450 → 7,559,938 → 3,939,902 → 2,136,178 → 1,401,902 — unresolved within range

Continued fraction of √n

√1,001,104 = [1000; (1, 1, 4, 3, 9, 3, 4, 1, 1, 2000)]

Period length 10 — the block in parentheses repeats forever.

Representations

In words: one million one thousand one hundred four
Ordinal: 1001104th
Binary: 11110100011010010000
Octal: 3643220
Hexadecimal: 0xF4690
Base64: D0aQ
One's complement: 4,293,966,191 (32-bit)
Scientific notation: 1.001104 × 10⁶
As a duration: 1,001,104 s = 11 days, 14 hours, 5 minutes, 4 seconds

In other bases

ternary (3) 1212212020221

quaternary (4) 3310122100

quinary (5) 224013404

senary (6) 33242424

septenary (7) 11336446

nonary (9) 1785227

undecimal (11) 624165

duodecimal (12) 403414

tridecimal (13) 290890

tetradecimal (14) 1c0b96

pentadecimal (15) 14b954

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓍢𓏺𓏺𓏺𓏺
Chinese: 一百萬一千一百零四
Chinese (financial): 壹佰萬壹仟壹佰零肆

In other modern scripts

Eastern Arabic ١٠٠١١٠٤ Devanagari १००११०४ Bengali ১০০১১০৪ Tamil ௧௦௦௧௧௦௪ Thai ๑๐๐๑๑๐๔ Tibetan ༡༠༠༡༡༠༤ Khmer ១០០១១០៤ Lao ໑໐໐໑໑໐໔ Burmese ၁၀၀၁၁၀၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1001104, here are decompositions:

11 + 1001093 = 1001104
17 + 1001087 = 1001104
23 + 1001081 = 1001104
101 + 1001003 = 1001104
131 + 1000973 = 1001104
173 + 1000931 = 1001104
197 + 1000907 = 1001104
257 + 1000847 = 1001104

Showing the first eight; more decompositions exist.

Hex color

#0F4690

RGB(15, 70, 144)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.70.144.

Address: 0.15.70.144
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.70.144

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 1,001,104 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 US1,001,104 on Google Patents ↗ Look up on USPTO ↗