Live analysis

1,004,820

1,004,820 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.).

1,004,820 (one million four thousand eight hundred twenty) is an even 7-digit number. It is a composite number with 24 divisors, and factors as 2² × 3 × 5 × 16,747. Its proper divisors sum to 1,808,844, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF5514.

Abundant Number Arithmetic Number Cube-Free Evil Number Gapful Number Harshad / Niven Self Number Semiperfect Number

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

1,004,808 1,004,809 1,004,810 1,004,811 1,004,812 1,004,813 1,004,814 1,004,815 1,004,816 1,004,817 1,004,818 1,004,819 1,004,820 1,004,821 1,004,822 1,004,823 1,004,824 1,004,825 1,004,826 1,004,827 1,004,828 1,004,829 1,004,830 1,004,831 1,004,832

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 15
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 20 bits
Reversed: 284,001
Square (n²): 1,009,663,232,400
Cube (n³): 1,014,529,809,180,168,000
Divisor count: 24
σ(n) — sum of divisors: 2,813,664
φ(n) — Euler's totient: 267,936
Sum of prime factors: 16,759

Primality

Prime factorization: 2 ² × 3 × 5 × 16747

Nearest primes: 1,004,797 (−23) · 1,004,873 (+53)

Divisors & multiples

All divisors (24)

1 · 2 · 3 · 4 · 5 · 6 · 10 · 12 · 15 · 20 · 30 · 60 · 16747 · 33494 · 50241 · 66988 · 83735 · 100482 · 167470 · 200964 · 251205 · 334940 · 502410 (half) · 1004820

Aliquot sum (sum of proper divisors): 1,808,844

Factor pairs (a × b = 1,004,820)

1 × 1004820

2 × 502410

3 × 334940

4 × 251205

5 × 200964

6 × 167470

10 × 100482

12 × 83735

15 × 66988

20 × 50241

30 × 33494

60 × 16747

First multiples

1,004,820 · 2,009,640 (double) · 3,014,460 · 4,019,280 · 5,024,100 · 6,028,920 · 7,033,740 · 8,038,560 · 9,043,380 · 10,048,200

Sums & aliquot sequence

As consecutive integers: 334,939 + 334,940 + 334,941 200,962 + 200,963 + 200,964 + 200,965 + 200,966 125,599 + 125,600 + … + 125,606 66,981 + 66,982 + … + 66,995

Aliquot sequence: 1,004,820 → 1,808,844 → 2,434,164 → 3,327,564 → 4,436,780 → 4,980,628 → 3,790,092 → 5,124,660 → 9,224,556 → 14,437,740 → 26,980,980 → 54,379,404 → 87,274,836 → 153,393,228 → 239,818,500 → 524,210,220 → 1,071,083,844 — unresolved within range

Continued fraction of √n

√1,004,820 = [1002; (2, 2, 5, 4, 3, 8, 100, 8, 3, 4, 5, 2, 2, 2004)]

Period length 14 — the block in parentheses repeats forever.

Representations

In words: one million four thousand eight hundred twenty
Ordinal: 1004820th
Binary: 11110101010100010100
Octal: 3652424
Hexadecimal: 0xF5514
Base64: D1UU
One's complement: 4,293,962,475 (32-bit)
Scientific notation: 1.00482 × 10⁶
As a duration: 1,004,820 s = 11 days, 15 hours, 7 minutes

In other bases

ternary (3) 1220001100120

quaternary (4) 3311110110

quinary (5) 224123240

senary (6) 33311540

septenary (7) 11353335

nonary (9) 1801316

undecimal (11) 626a33

duodecimal (12) 4055b0

tridecimal (13) 29248b

tetradecimal (14) 1c228c

pentadecimal (15) 14cad0

As an angle

1,004,820° = 2,791 × 360° + 60°

60° ≈ 1.047 rad

Compass bearing: ENE (east-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆
Chinese: 一百萬四千八百二十
Chinese (financial): 壹佰萬肆仟捌佰貳拾

In other modern scripts

Eastern Arabic ١٠٠٤٨٢٠ Devanagari १००४८२० Bengali ১০০৪৮২০ Tamil ௧௦௦௪௮௨௦ Thai ๑๐๐๔๘๒๐ Tibetan ༡༠༠༤༨༢༠ Khmer ១០០៤៨២០ Lao ໑໐໐໔໘໒໐ Burmese ၁၀၀၄၈၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1004820, here are decompositions:

23 + 1004797 = 1004820
41 + 1004779 = 1004820
59 + 1004761 = 1004820
71 + 1004749 = 1004820
73 + 1004747 = 1004820
83 + 1004737 = 1004820
97 + 1004723 = 1004820
149 + 1004671 = 1004820

Showing the first eight; more decompositions exist.

Hex color

#0F5514

RGB(15, 85, 20)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.85.20.

Address: 0.15.85.20
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.85.20

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 1,004,820 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 US1,004,820 on Google Patents ↗ Look up on USPTO ↗