Live analysis

1,002,822

1,002,822 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.).

1,002,822 (one million two thousand eight hundred twenty-two) is an even 7-digit number. It is a composite number with 16 divisors, and factors as 2 × 3 × 397 × 421. Its proper divisors sum to 1,012,650, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF4D46.

Abundant Number Arithmetic Number Cube-Free Odious Number Pernicious Number Semiperfect Number Squarefree

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

1,002,810 1,002,811 1,002,812 1,002,813 1,002,814 1,002,815 1,002,816 1,002,817 1,002,818 1,002,819 1,002,820 1,002,821 1,002,822 1,002,823 1,002,824 1,002,825 1,002,826 1,002,827 1,002,828 1,002,829 1,002,830 1,002,831 1,002,832 1,002,833 1,002,834

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 15
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 20 bits
Reversed: 2,282,001
Square (n²): 1,005,651,963,684
Cube (n³): 1,008,489,913,525,516,248
Divisor count: 16
σ(n) — sum of divisors: 2,015,472
φ(n) — Euler's totient: 332,640
Sum of prime factors: 823

Primality

Prime factorization: 2 × 3 × 397 × 421

Nearest primes: 1,002,821 (−1) · 1,002,851 (+29)

Divisors & multiples

All divisors (16)

1 · 2 · 3 · 6 · 397 · 421 · 794 · 842 · 1191 · 1263 · 2382 · 2526 · 167137 · 334274 · 501411 (half) · 1002822

Aliquot sum (sum of proper divisors): 1,012,650

Factor pairs (a × b = 1,002,822)

1 × 1002822

2 × 501411

3 × 334274

6 × 167137

397 × 2526

421 × 2382

794 × 1263

842 × 1191

First multiples

1,002,822 · 2,005,644 (double) · 3,008,466 · 4,011,288 · 5,014,110 · 6,016,932 · 7,019,754 · 8,022,576 · 9,025,398 · 10,028,220

Sums & aliquot sequence

As consecutive integers: 334,273 + 334,274 + 334,275 250,704 + 250,705 + 250,706 + 250,707 83,563 + 83,564 + … + 83,574 2,328 + 2,329 + … + 2,724

Aliquot sequence: 1,002,822 → 1,012,650 → 1,573,494 → 1,815,738 → 1,914,342 → 1,914,354 → 2,768,058 → 3,330,138 → 4,615,206 → 5,007,162 → 5,007,174 → 5,034,234 → 5,205,606 → 6,987,162 → 10,560,102 → 13,577,370 → 19,008,390 — unresolved within range

Continued fraction of √n

√1,002,822 = [1001; (2, 2, 3, 1, 1, 2, 16, 2, 3, 1, 2, 3, 2, 4, 3, 1, 3, 9, 1, 2, 3, 6, 1, 1, …)]

Representations

In words: one million two thousand eight hundred twenty-two
Ordinal: 1002822nd
Binary: 11110100110101000110
Octal: 3646506
Hexadecimal: 0xF4D46
Base64: D01G
One's complement: 4,293,964,473 (32-bit)
Scientific notation: 1.002822 × 10⁶
As a duration: 1,002,822 s = 11 days, 14 hours, 33 minutes, 42 seconds

In other bases

ternary (3) 1212221121120

quaternary (4) 3310311012

quinary (5) 224042242

senary (6) 33254410

septenary (7) 11344452

nonary (9) 1787546

undecimal (11) 625487

duodecimal (12) 404406

tridecimal (13) 2915b2

tetradecimal (14) 1c1662

pentadecimal (15) 14c1ec

As an angle

1,002,822° = 2,785 × 360° + 222°

222° ≈ 3.875 rad

Compass bearing: SW (southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺
Chinese: 一百萬二千八百二十二
Chinese (financial): 壹佰萬貳仟捌佰貳拾貳

In other modern scripts

Eastern Arabic ١٠٠٢٨٢٢ Devanagari १००२८२२ Bengali ১০০২৮২২ Tamil ௧௦௦௨௮௨௨ Thai ๑๐๐๒๘๒๒ Tibetan ༡༠༠༢༨༢༢ Khmer ១០០២៨២២ Lao ໑໐໐໒໘໒໒ Burmese ၁၀၀၂၈၂၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1002822, here are decompositions:

5 + 1002817 = 1002822
13 + 1002809 = 1002822
53 + 1002769 = 1002822
71 + 1002751 = 1002822
83 + 1002739 = 1002822
101 + 1002721 = 1002822
103 + 1002719 = 1002822
109 + 1002713 = 1002822

Showing the first eight; more decompositions exist.

Hex color

#0F4D46

RGB(15, 77, 70)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.77.70.

Address: 0.15.77.70
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.77.70

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 1,002,822 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 US1,002,822 on Google Patents ↗ Look up on USPTO ↗