Live analysis

1,004,168

1,004,168 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.).

1,004,168 (one million four thousand one hundred sixty-eight) is an even 7-digit number. It is a composite number with 16 divisors, and factors as 2³ × 11 × 11,411. Its proper divisors sum to 1,049,992, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF5288.

Abundant Number Arithmetic Number Odious Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

2 notable facts · grade F

1,004,156 1,004,157 1,004,158 1,004,159 1,004,160 1,004,161 1,004,162 1,004,163 1,004,164 1,004,165 1,004,166 1,004,167 1,004,168 1,004,169 1,004,170 1,004,171 1,004,172 1,004,173 1,004,174 1,004,175 1,004,176 1,004,177 1,004,178 1,004,179 1,004,180

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 20
Digit product: 0
Digital root: 2
Palindrome: No
Bit width: 20 bits
Reversed: 8,614,001
Square (n²): 1,008,353,372,224
Cube (n³): 1,012,556,189,079,429,632
Divisor count: 16
σ(n) — sum of divisors: 2,054,160
φ(n) — Euler's totient: 456,400
Sum of prime factors: 11,428

Primality

Prime factorization: 2 ³ × 11 × 11411

Nearest primes: 1,004,167 (−1) · 1,004,209 (+41)

Divisors & multiples

All divisors (16)

1 · 2 · 4 · 8 · 11 · 22 · 44 · 88 · 11411 · 22822 · 45644 · 91288 · 125521 · 251042 · 502084 (half) · 1004168

Aliquot sum (sum of proper divisors): 1,049,992

Factor pairs (a × b = 1,004,168)

1 × 1004168

2 × 502084

4 × 251042

8 × 125521

11 × 91288

22 × 45644

44 × 22822

88 × 11411

First multiples

1,004,168 · 2,008,336 (double) · 3,012,504 · 4,016,672 · 5,020,840 · 6,025,008 · 7,029,176 · 8,033,344 · 9,037,512 · 10,041,680

Sums & aliquot sequence

As consecutive integers: 91,283 + 91,284 + … + 91,293 62,753 + 62,754 + … + 62,768 5,618 + 5,619 + … + 5,793

Aliquot sequence: 1,004,168 → 1,049,992 → 918,758 → 519,370 → 424,118 → 245,602 → 184,670 → 154,450 → 132,920 → 166,240 → 226,880 → 314,140 → 356,180 → 460,300 → 538,768 → 516,720 → 1,085,856 — unresolved within range

Continued fraction of √n

√1,004,168 = [1002; (12, 4, 1, 1, 5, 35, 1, 1, 1, 1, 4, 20, 2, 3, 1, 40, 8, 17, 1, 1, 1, 1, 2, 1, …)]

Representations

In words: one million four thousand one hundred sixty-eight
Ordinal: 1004168th
Binary: 11110101001010001000
Octal: 3651210
Hexadecimal: 0xF5288
Base64: D1KI
One's complement: 4,293,963,127 (32-bit)
Scientific notation: 1.004168 × 10⁶
As a duration: 1,004,168 s = 11 days, 14 hours, 56 minutes, 8 seconds

In other bases

ternary (3) 1220000110102

quaternary (4) 3311022020

quinary (5) 224113133

senary (6) 33304532

septenary (7) 11351414

nonary (9) 1800412

undecimal (11) 6264a0

duodecimal (12) 405148

tridecimal (13) 2920a9

tetradecimal (14) 1c1d44

pentadecimal (15) 14c7e8

As an angle

1,004,168° = 2,789 × 360° + 128°

128° ≈ 2.234 rad

Compass bearing: SE (southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese: 一百萬四千一百六十八
Chinese (financial): 壹佰萬肆仟壹佰陸拾捌

In other modern scripts

Eastern Arabic ١٠٠٤١٦٨ Devanagari १००४१६८ Bengali ১০০৪১৬৮ Tamil ௧௦௦௪௧௬௮ Thai ๑๐๐๔๑๖๘ Tibetan ༡༠༠༤༡༦༨ Khmer ១០០៤១៦៨ Lao ໑໐໐໔໑໖໘ Burmese ၁၀၀၄၁၆၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1004168, here are decompositions:

7 + 1004161 = 1004168
31 + 1004137 = 1004168
79 + 1004089 = 1004168
211 + 1003957 = 1004168
271 + 1003897 = 1004168
349 + 1003819 = 1004168
397 + 1003771 = 1004168
421 + 1003747 = 1004168

Showing the first eight; more decompositions exist.

Hex color

#0F5288

RGB(15, 82, 136)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.82.136.

Address: 0.15.82.136
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.82.136

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 1,004,168 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 US1,004,168 on Google Patents ↗ Look up on USPTO ↗