Live analysis

1,004,112

1,004,112 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.).

1,004,112 (one million four thousand one hundred twelve) is an even 7-digit number. It is a composite number with 60 divisors, and factors as 2⁴ × 3² × 19 × 367. Its proper divisors sum to 1,961,968, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF5250.

Abundant Number Gapful Number Happy Number Harshad / Niven Odious Number Practical Number Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,004,100 1,004,101 1,004,102 1,004,103 1,004,104 1,004,105 1,004,106 1,004,107 1,004,108 1,004,109 1,004,110 1,004,111 1,004,112 1,004,113 1,004,114 1,004,115 1,004,116 1,004,117 1,004,118 1,004,119 1,004,120 1,004,121 1,004,122 1,004,123 1,004,124

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 9
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 20 bits
Reversed: 2,114,001
Square (n²): 1,008,240,908,544
Cube (n³): 1,012,386,795,159,932,928
Divisor count: 60
σ(n) — sum of divisors: 2,966,080
φ(n) — Euler's totient: 316,224
Sum of prime factors: 400

Primality

Prime factorization: 2 ⁴ × 3 ² × 19 × 367

Nearest primes: 1,004,089 (−23) · 1,004,117 (+5)

Divisors & multiples

All divisors (60)

1 · 2 · 3 · 4 · 6 · 8 · 9 · 12 · 16 · 18 · 19 · 24 · 36 · 38 · 48 · 57 · 72 · 76 · 114 · 144 · 152 · 171 · 228 · 304 · 342 · 367 · 456 · 684 · 734 · 912 · 1101 · 1368 · 1468 · 2202 · 2736 · 2936 · 3303 · 4404 · 5872 · 6606 · 6973 · 8808 · 13212 · 13946 · 17616 · 20919 · 26424 · 27892 · 41838 · 52848 · 55784 · 62757 · 83676 · 111568 · 125514 · 167352 · 251028 · 334704 · 502056 (half) · 1004112

Aliquot sum (sum of proper divisors): 1,961,968

Factor pairs (a × b = 1,004,112)

1 × 1004112

2 × 502056

3 × 334704

4 × 251028

6 × 167352

8 × 125514

9 × 111568

12 × 83676

16 × 62757

18 × 55784

19 × 52848

24 × 41838

36 × 27892

38 × 26424

48 × 20919

57 × 17616

72 × 13946

76 × 13212

114 × 8808

144 × 6973

152 × 6606

171 × 5872

228 × 4404

304 × 3303

342 × 2936

367 × 2736

456 × 2202

684 × 1468

734 × 1368

912 × 1101

First multiples

1,004,112 · 2,008,224 (double) · 3,012,336 · 4,016,448 · 5,020,560 · 6,024,672 · 7,028,784 · 8,032,896 · 9,037,008 · 10,041,120

Sums & aliquot sequence

As consecutive integers: 334,703 + 334,704 + 334,705 111,564 + 111,565 + … + 111,572 52,839 + 52,840 + … + 52,857 31,363 + 31,364 + … + 31,394

Aliquot sequence: 1,004,112 → 1,961,968 → 1,921,712 → 2,088,448 → 2,085,392 → 1,955,086 → 1,444,178 → 727,390 → 581,930 → 465,562 → 273,914 → 140,134 → 70,070 → 102,298 → 73,094 → 58,234 → 37,094 — unresolved within range

Continued fraction of √n

√1,004,112 = [1002; (18, 1, 1, 3, 1, 23, 1, 26, 2, 40, 2, 2, 3, 1, 11, 4, 2, 1, 1, 2, 1, 7, 2, 30, …)]

Representations

In words: one million four thousand one hundred twelve
Ordinal: 1004112th
Binary: 11110101001001010000
Octal: 3651120
Hexadecimal: 0xF5250
Base64: D1JQ
One's complement: 4,293,963,183 (32-bit)
Scientific notation: 1.004112 × 10⁶
As a duration: 1,004,112 s = 11 days, 14 hours, 55 minutes, 12 seconds

In other bases

ternary (3) 1220000101100

quaternary (4) 3311021100

quinary (5) 224112422

senary (6) 33304400

septenary (7) 11351304

nonary (9) 1800340

undecimal (11) 62644a

duodecimal (12) 405100

tridecimal (13) 292065

tetradecimal (14) 1c1d04

pentadecimal (15) 14c7ac

As an angle

1,004,112° = 2,789 × 360° + 72°

72° ≈ 1.257 rad

Compass bearing: ENE (east-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓍢𓎆𓏺𓏺
Chinese: 一百萬四千一百一十二
Chinese (financial): 壹佰萬肆仟壹佰壹拾貳

In other modern scripts

Eastern Arabic ١٠٠٤١١٢ Devanagari १००४११२ Bengali ১০০৪১১২ Tamil ௧௦௦௪௧௧௨ Thai ๑๐๐๔๑๑๒ Tibetan ༡༠༠༤༡༡༢ Khmer ១០០៤១១២ Lao ໑໐໐໔໑໑໒ Burmese ၁၀၀၄၁၁၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1004112, here are decompositions:

23 + 1004089 = 1004112
59 + 1004053 = 1004112
79 + 1004033 = 1004112
149 + 1003963 = 1004112
181 + 1003931 = 1004112
199 + 1003913 = 1004112
223 + 1003889 = 1004112
233 + 1003879 = 1004112

Showing the first eight; more decompositions exist.

Hex color

#0F5250

RGB(15, 82, 80)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.82.80.

Address: 0.15.82.80
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.82.80

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 1,004,112 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 US1,004,112 on Google Patents ↗ Look up on USPTO ↗