Live analysis

1,002,144

1,002,144 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.).

1,002,144 (one million two thousand one hundred forty-four) is an even 7-digit number. It is a composite number with 96 divisors, and factors as 2⁵ × 3 × 11 × 13 × 73. Its proper divisors sum to 2,130,720, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF4AA0.

Abundant Number Arithmetic Number Harshad / Niven Odious Number Practical Number Refactorable Number Weird Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,002,132 1,002,133 1,002,134 1,002,135 1,002,136 1,002,137 1,002,138 1,002,139 1,002,140 1,002,141 1,002,142 1,002,143 1,002,144 1,002,145 1,002,146 1,002,147 1,002,148 1,002,149 1,002,150 1,002,151 1,002,152 1,002,153 1,002,154 1,002,155 1,002,156

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 12
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 20 bits
Reversed: 4,412,001
Square (n²): 1,004,292,596,736
Cube (n³): 1,006,445,800,063,401,984
Divisor count: 96
σ(n) — sum of divisors: 3,132,864
φ(n) — Euler's totient: 276,480
Sum of prime factors: 110

Primality

Prime factorization: 2 ⁵ × 3 × 11 × 13 × 73

Nearest primes: 1,002,143 (−1) · 1,002,149 (+5)

Divisors & multiples

All divisors (96)

1 · 2 · 3 · 4 · 6 · 8 · 11 · 12 · 13 · 16 · 22 · 24 · 26 · 32 · 33 · 39 · 44 · 48 · 52 · 66 · 73 · 78 · 88 · 96 · 104 · 132 · 143 · 146 · 156 · 176 · 208 · 219 · 264 · 286 · 292 · 312 · 352 · 416 · 429 · 438 · 528 · 572 · 584 · 624 · 803 · 858 · 876 · 949 · 1056 · 1144 · 1168 · 1248 · 1606 · 1716 · 1752 · 1898 · 2288 · 2336 · 2409 · 2847 · 3212 · 3432 · 3504 · 3796 · 4576 · 4818 · 5694 · 6424 · 6864 · 7008 · 7592 · 9636 · 10439 · 11388 · 12848 · 13728 · 15184 · 19272 · 20878 · 22776 · 25696 · 30368 · 31317 · 38544 · 41756 · 45552 · 62634 · 77088 · 83512 · 91104 · 125268 · 167024 · 250536 · 334048 · 501072 (half) · 1002144

Aliquot sum (sum of proper divisors): 2,130,720

Factor pairs (a × b = 1,002,144)

1 × 1002144

2 × 501072

3 × 334048

4 × 250536

6 × 167024

8 × 125268

11 × 91104

12 × 83512

13 × 77088

16 × 62634

22 × 45552

24 × 41756

26 × 38544

32 × 31317

33 × 30368

39 × 25696

44 × 22776

48 × 20878

52 × 19272

66 × 15184

73 × 13728

78 × 12848

88 × 11388

96 × 10439

104 × 9636

132 × 7592

143 × 7008

146 × 6864

156 × 6424

176 × 5694

208 × 4818

219 × 4576

264 × 3796

286 × 3504

292 × 3432

312 × 3212

352 × 2847

416 × 2409

429 × 2336

438 × 2288

528 × 1898

572 × 1752

584 × 1716

624 × 1606

803 × 1248

858 × 1168

876 × 1144

949 × 1056

First multiples

1,002,144 · 2,004,288 (double) · 3,006,432 · 4,008,576 · 5,010,720 · 6,012,864 · 7,015,008 · 8,017,152 · 9,019,296 · 10,021,440

Sums & aliquot sequence

As consecutive integers: 334,047 + 334,048 + 334,049 91,099 + 91,100 + … + 91,109 77,082 + 77,083 + … + 77,094 30,352 + 30,353 + … + 30,384

Aliquot sequence: 1,002,144 → 2,130,720 → 4,909,152 → 7,977,624 → 13,140,696 → 19,711,104 → 40,134,336 → 79,639,872 → 147,289,824 → 333,889,056 → 615,608,766 → 736,999,218 → 860,392,890 → 1,696,204,998 → 1,980,068,850 → 3,863,753,550 → 7,063,236,810 — unresolved within range

Continued fraction of √n

√1,002,144 = [1001; (14, 2002)]

Period length 2 — the block in parentheses repeats forever.

Representations

In words: one million two thousand one hundred forty-four
Ordinal: 1002144th
Binary: 11110100101010100000
Octal: 3645240
Hexadecimal: 0xF4AA0
Base64: D0qg
One's complement: 4,293,965,151 (32-bit)
Scientific notation: 1.002144 × 10⁶
As a duration: 1,002,144 s = 11 days, 14 hours, 22 minutes, 24 seconds

In other bases

ternary (3) 1212220200110

quaternary (4) 3310222200

quinary (5) 224032034

senary (6) 33251320

septenary (7) 11342463

nonary (9) 1786613

undecimal (11) 624a20

duodecimal (12) 403b40

tridecimal (13) 2911b0

tetradecimal (14) 1c12da

pentadecimal (15) 14bde9

As an angle

1,002,144° = 2,783 × 360° + 264°

264° ≈ 4.608 rad

Compass bearing: W (west)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Chinese: 一百萬二千一百四十四
Chinese (financial): 壹佰萬貳仟壹佰肆拾肆

In other modern scripts

Eastern Arabic ١٠٠٢١٤٤ Devanagari १००२१४४ Bengali ১০০২১৪৪ Tamil ௧௦௦௨௧௪௪ Thai ๑๐๐๒๑๔๔ Tibetan ༡༠༠༢༡༤༤ Khmer ១០០២១៤៤ Lao ໑໐໐໒໑໔໔ Burmese ၁၀၀၂၁၄၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1002144, here are decompositions:

23 + 1002121 = 1002144
43 + 1002101 = 1002144
53 + 1002091 = 1002144
61 + 1002083 = 1002144
67 + 1002077 = 1002144
71 + 1002073 = 1002144
83 + 1002061 = 1002144
127 + 1002017 = 1002144

Showing the first eight; more decompositions exist.

Hex color

#0F4AA0

RGB(15, 74, 160)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.74.160.

Address: 0.15.74.160
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.74.160

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 1,002,144 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 US1,002,144 on Google Patents ↗ Look up on USPTO ↗