Live analysis

1,004,480

1,004,480 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.).

1,004,480 (one million four thousand four hundred eighty) is an even 7-digit number. It is a composite number with 56 divisors, and factors as 2⁶ × 5 × 43 × 73. Its proper divisors sum to 1,476,592, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF53C0.

Abundant Number Evil Number Gapful Number Happy Number Practical Number Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

1,004,468 1,004,469 1,004,470 1,004,471 1,004,472 1,004,473 1,004,474 1,004,475 1,004,476 1,004,477 1,004,478 1,004,479 1,004,480 1,004,481 1,004,482 1,004,483 1,004,484 1,004,485 1,004,486 1,004,487 1,004,488 1,004,489 1,004,490 1,004,491 1,004,492

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 17
Digit product: 0
Digital root: 8
Palindrome: No
Bit width: 20 bits
Reversed: 844,001
Square (n²): 1,008,980,070,400
Cube (n³): 1,013,500,301,115,392,000
Divisor count: 56
σ(n) — sum of divisors: 2,481,072
φ(n) — Euler's totient: 387,072
Sum of prime factors: 133

Primality

Prime factorization: 2 ⁶ × 5 × 43 × 73

Nearest primes: 1,004,477 (−3) · 1,004,483 (+3)

Divisors & multiples

All divisors (56)

1 · 2 · 4 · 5 · 8 · 10 · 16 · 20 · 32 · 40 · 43 · 64 · 73 · 80 · 86 · 146 · 160 · 172 · 215 · 292 · 320 · 344 · 365 · 430 · 584 · 688 · 730 · 860 · 1168 · 1376 · 1460 · 1720 · 2336 · 2752 · 2920 · 3139 · 3440 · 4672 · 5840 · 6278 · 6880 · 11680 · 12556 · 13760 · 15695 · 23360 · 25112 · 31390 · 50224 · 62780 · 100448 · 125560 · 200896 · 251120 · 502240 (half) · 1004480

Aliquot sum (sum of proper divisors): 1,476,592

Factor pairs (a × b = 1,004,480)

1 × 1004480

2 × 502240

4 × 251120

5 × 200896

8 × 125560

10 × 100448

16 × 62780

20 × 50224

32 × 31390

40 × 25112

43 × 23360

64 × 15695

73 × 13760

80 × 12556

86 × 11680

146 × 6880

160 × 6278

172 × 5840

215 × 4672

292 × 3440

320 × 3139

344 × 2920

365 × 2752

430 × 2336

584 × 1720

688 × 1460

730 × 1376

860 × 1168

First multiples

1,004,480 · 2,008,960 (double) · 3,013,440 · 4,017,920 · 5,022,400 · 6,026,880 · 7,031,360 · 8,035,840 · 9,040,320 · 10,044,800

Sums & aliquot sequence

As consecutive integers: 200,894 + 200,895 + 200,896 + 200,897 + 200,898 23,339 + 23,340 + … + 23,381 13,724 + 13,725 + … + 13,796 7,784 + 7,785 + … + 7,911

Aliquot sequence: 1,004,480 → 1,476,592 → 1,717,648 → 1,718,640 → 5,709,456 → 10,797,424 → 12,772,496 → 15,106,672 → 21,398,928 → 36,740,208 → 61,237,648 → 61,937,008 → 79,641,232 → 95,569,776 → 185,047,184 → 241,592,176 → 315,515,024 — unresolved within range

Continued fraction of √n

√1,004,480 = [1002; (4, 4, 1, 2, 1, 48, 6, 1, 1, 2, 1, 11, 6, 1, 35, 1, 1, 2, 2, 2, 16, 2, 3, 9, …)]

Period length 60 — the block in parentheses repeats forever.

Representations

In words: one million four thousand four hundred eighty
Ordinal: 1004480th
Binary: 11110101001111000000
Octal: 3651700
Hexadecimal: 0xF53C0
Base64: D1PA
One's complement: 4,293,962,815 (32-bit)
Scientific notation: 1.00448 × 10⁶
As a duration: 1,004,480 s = 11 days, 15 hours, 1 minute, 20 seconds

In other bases

ternary (3) 1220000212222

quaternary (4) 3311033000

quinary (5) 224120410

senary (6) 33310212

septenary (7) 11352341

nonary (9) 1800788

undecimal (11) 626754

duodecimal (12) 405368

tridecimal (13) 292289

tetradecimal (14) 1c20c8

pentadecimal (15) 14c955

As an angle

1,004,480° = 2,790 × 360° + 80°

80° ≈ 1.396 rad

Compass bearing: E (east)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹 𒌋𒌋
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Chinese: 一百萬四千四百八十
Chinese (financial): 壹佰萬肆仟肆佰捌拾

In other modern scripts

Eastern Arabic ١٠٠٤٤٨٠ Devanagari १००४४८० Bengali ১০০৪৪৮০ Tamil ௧௦௦௪௪௮௦ Thai ๑๐๐๔๔๘๐ Tibetan ༡༠༠༤༤༨༠ Khmer ១០០៤៤៨០ Lao ໑໐໐໔໔໘໐ Burmese ၁၀၀၄၄၈၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1004480, here are decompositions:

3 + 1004477 = 1004480
19 + 1004461 = 1004480
31 + 1004449 = 1004480
79 + 1004401 = 1004480
109 + 1004371 = 1004480
157 + 1004323 = 1004480
163 + 1004317 = 1004480
193 + 1004287 = 1004480

Showing the first eight; more decompositions exist.

Hex color

#0F53C0

RGB(15, 83, 192)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.83.192.

Address: 0.15.83.192
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.83.192

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 1,004,480 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 US1,004,480 on Google Patents ↗ Look up on USPTO ↗