Live analysis

1,003,480

1,003,480 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.).

1,003,480 (one million three thousand four hundred eighty) is an even 7-digit number. It is a composite number with 16 divisors, and factors as 2³ × 5 × 25,087. Its proper divisors sum to 1,254,440, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF4FD8.

Abundant Number Arithmetic Number Gapful Number Odious Number Pernicious Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

1,003,468 1,003,469 1,003,470 1,003,471 1,003,472 1,003,473 1,003,474 1,003,475 1,003,476 1,003,477 1,003,478 1,003,479 1,003,480 1,003,481 1,003,482 1,003,483 1,003,484 1,003,485 1,003,486 1,003,487 1,003,488 1,003,489 1,003,490 1,003,491 1,003,492

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 16
Digit product: 0
Digital root: 7
Palindrome: No
Bit width: 20 bits
Reversed: 843,001
Square (n²): 1,006,972,110,400
Cube (n³): 1,010,476,373,344,192,000
Divisor count: 16
σ(n) — sum of divisors: 2,257,920
φ(n) — Euler's totient: 401,376
Sum of prime factors: 25,098

Primality

Prime factorization: 2 ³ × 5 × 25087

Nearest primes: 1,003,469 (−11) · 1,003,507 (+27)

Divisors & multiples

All divisors (16)

1 · 2 · 4 · 5 · 8 · 10 · 20 · 40 · 25087 · 50174 · 100348 · 125435 · 200696 · 250870 · 501740 (half) · 1003480

Aliquot sum (sum of proper divisors): 1,254,440

Factor pairs (a × b = 1,003,480)

1 × 1003480

2 × 501740

4 × 250870

5 × 200696

8 × 125435

10 × 100348

20 × 50174

40 × 25087

First multiples

1,003,480 · 2,006,960 (double) · 3,010,440 · 4,013,920 · 5,017,400 · 6,020,880 · 7,024,360 · 8,027,840 · 9,031,320 · 10,034,800

Sums & aliquot sequence

As consecutive integers: 200,694 + 200,695 + 200,696 + 200,697 + 200,698 62,710 + 62,711 + … + 62,725 12,504 + 12,505 + … + 12,583

Aliquot sequence: 1,003,480 → 1,254,440 → 1,825,720 → 2,599,400 → 3,611,140 → 5,702,780 → 6,273,100 → 7,339,744 → 7,173,944 → 7,148,056 → 6,284,984 → 5,499,376 → 5,642,768 → 5,390,380 → 5,929,460 → 6,522,448 → 6,551,492 — unresolved within range

Continued fraction of √n

√1,003,480 = [1001; (1, 2, 1, 4, 1, 2, 8, 3, 7, 1, 1, 6, 2, 2, 83, 13, 1, 4, 7, 1, 1, 1, 8, 48, …)]

Representations

In words: one million three thousand four hundred eighty
Ordinal: 1003480th
Binary: 11110100111111011000
Octal: 3647730
Hexadecimal: 0xF4FD8
Base64: D0/Y
One's complement: 4,293,963,815 (32-bit)
Scientific notation: 1.00348 × 10⁶
As a duration: 1,003,480 s = 11 days, 14 hours, 44 minutes, 40 seconds

In other bases

ternary (3) 1212222111221

quaternary (4) 3310333120

quinary (5) 224102410

senary (6) 33301424

septenary (7) 11346412

nonary (9) 1788457

undecimal (11) 625a25

duodecimal (12) 404874

tridecimal (13) 29199a

tetradecimal (14) 1c19b2

pentadecimal (15) 14c4da

As an angle

1,003,480° = 2,787 × 360° + 160°

160° ≈ 2.793 rad

Compass bearing: SSE (south-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Chinese: 一百萬三千四百八十
Chinese (financial): 壹佰萬參仟肆佰捌拾

In other modern scripts

Eastern Arabic ١٠٠٣٤٨٠ Devanagari १००३४८० Bengali ১০০৩৪৮০ Tamil ௧௦௦௩௪௮௦ Thai ๑๐๐๓๔๘๐ Tibetan ༡༠༠༣༤༨༠ Khmer ១០០៣៤៨០ Lao ໑໐໐໓໔໘໐ Burmese ၁၀၀၃၄၈၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1003480, here are decompositions:

11 + 1003469 = 1003480
17 + 1003463 = 1003480
47 + 1003433 = 1003480
83 + 1003397 = 1003480
113 + 1003367 = 1003480
131 + 1003349 = 1003480
173 + 1003307 = 1003480
239 + 1003241 = 1003480

Showing the first eight; more decompositions exist.

Hex color

#0F4FD8

RGB(15, 79, 216)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.79.216.

Address: 0.15.79.216
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.79.216

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 1,003,480 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 US1,003,480 on Google Patents ↗ Look up on USPTO ↗