Live analysis

1,004,148

1,004,148 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.).

1,004,148 (one million four thousand one hundred forty-eight) is an even 7-digit number. It is a composite number with 18 divisors, and factors as 2² × 3² × 27,893. Its proper divisors sum to 1,534,206, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF5274.

Abundant Number Cube-Free Gapful Number Harshad / Niven Odious Number Pernicious Number Refactorable Number Self Number Semiperfect Number

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

1,004,136 1,004,137 1,004,138 1,004,139 1,004,140 1,004,141 1,004,142 1,004,143 1,004,144 1,004,145 1,004,146 1,004,147 1,004,148 1,004,149 1,004,150 1,004,151 1,004,152 1,004,153 1,004,154 1,004,155 1,004,156 1,004,157 1,004,158 1,004,159 1,004,160

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 18
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 20 bits
Reversed: 8,414,001
Square (n²): 1,008,313,205,904
Cube (n³): 1,012,495,689,082,089,792
Divisor count: 18
σ(n) — sum of divisors: 2,538,354
φ(n) — Euler's totient: 334,704
Sum of prime factors: 27,903

Primality

Prime factorization: 2 ² × 3 ² × 27893

Nearest primes: 1,004,141 (−7) · 1,004,161 (+13)

Divisors & multiples

All divisors (18)

1 · 2 · 3 · 4 · 6 · 9 · 12 · 18 · 36 · 27893 · 55786 · 83679 · 111572 · 167358 · 251037 · 334716 · 502074 (half) · 1004148

Aliquot sum (sum of proper divisors): 1,534,206

Factor pairs (a × b = 1,004,148)

1 × 1004148

2 × 502074

3 × 334716

4 × 251037

6 × 167358

9 × 111572

12 × 83679

18 × 55786

36 × 27893

First multiples

1,004,148 · 2,008,296 (double) · 3,012,444 · 4,016,592 · 5,020,740 · 6,024,888 · 7,029,036 · 8,033,184 · 9,037,332 · 10,041,480

Sums & aliquot sequence

As a sum of two squares: 12² + 1,002²

As consecutive integers: 334,715 + 334,716 + 334,717 125,515 + 125,516 + … + 125,522 111,568 + 111,569 + … + 111,576 41,828 + 41,829 + … + 41,851

Aliquot sequence: 1,004,148 → 1,534,206 → 1,549,842 → 1,992,750 → 2,983,026 → 2,983,038 → 3,376,002 → 4,479,054 → 4,479,066 → 6,004,134 → 7,004,862 → 8,318,394 → 12,505,734 → 14,590,062 → 19,614,498 → 25,745,502 → 25,913,778 — unresolved within range

Continued fraction of √n

√1,004,148 = [1002; (13, 1, 11, 13, 1, 5, 55, 1, 1, 124, 1, 3, 13, 1, 2, 222, 2, 1, 13, 3, 1, 124, 1, 1, …)]

Period length 32 — the block in parentheses repeats forever.

Representations

In words: one million four thousand one hundred forty-eight
Ordinal: 1004148th
Binary: 11110101001001110100
Octal: 3651164
Hexadecimal: 0xF5274
Base64: D1J0
One's complement: 4,293,963,147 (32-bit)
Scientific notation: 1.004148 × 10⁶
As a duration: 1,004,148 s = 11 days, 14 hours, 55 minutes, 48 seconds

In other bases

ternary (3) 1220000102200

quaternary (4) 3311021310

quinary (5) 224113043

senary (6) 33304500

septenary (7) 11351355

nonary (9) 1800380

undecimal (11) 626482

duodecimal (12) 405130

tridecimal (13) 292092

tetradecimal (14) 1c1d2c

pentadecimal (15) 14c7d3

As an angle

1,004,148° = 2,789 × 360° + 108°

108° ≈ 1.885 rad

Compass bearing: ESE (east-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese: 一百萬四千一百四十八
Chinese (financial): 壹佰萬肆仟壹佰肆拾捌

In other modern scripts

Eastern Arabic ١٠٠٤١٤٨ Devanagari १००४१४८ Bengali ১০০৪১৪৮ Tamil ௧௦௦௪௧௪௮ Thai ๑๐๐๔๑๔๘ Tibetan ༡༠༠༤༡༤༨ Khmer ១០០៤១៤៨ Lao ໑໐໐໔໑໔໘ Burmese ၁၀၀၄၁၄၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1004148, here are decompositions:

7 + 1004141 = 1004148
11 + 1004137 = 1004148
29 + 1004119 = 1004148
31 + 1004117 = 1004148
59 + 1004089 = 1004148
71 + 1004077 = 1004148
191 + 1003957 = 1004148
239 + 1003909 = 1004148

Showing the first eight; more decompositions exist.

Hex color

#0F5274

RGB(15, 82, 116)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.82.116.

Address: 0.15.82.116
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.82.116

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 1,004,148 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 US1,004,148 on Google Patents ↗ Look up on USPTO ↗