Live analysis

1,002,642

1,002,642 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.).

1,002,642 (one million two thousand six hundred forty-two) is an even 7-digit number. It is a composite number with 8 divisors, and factors as 2 × 3 × 167,107. Its proper divisors sum to 1,002,654, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF4C92.

Abundant Number Arithmetic Number Cube-Free Evil Number Semiperfect Number Sphenic Number Squarefree

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,002,630 1,002,631 1,002,632 1,002,633 1,002,634 1,002,635 1,002,636 1,002,637 1,002,638 1,002,639 1,002,640 1,002,641 1,002,642 1,002,643 1,002,644 1,002,645 1,002,646 1,002,647 1,002,648 1,002,649 1,002,650 1,002,651 1,002,652 1,002,653 1,002,654

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 15
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 20 bits
Reversed: 2,462,001
Square (n²): 1,005,290,980,164
Cube (n³): 1,007,946,958,933,593,288
Divisor count: 8
σ(n) — sum of divisors: 2,005,296
φ(n) — Euler's totient: 334,212
Sum of prime factors: 167,112

Primality

Prime factorization: 2 × 3 × 167107

Nearest primes: 1,002,623 (−19) · 1,002,647 (+5)

Divisors & multiples

All divisors (8)

1 · 2 · 3 · 6 · 167107 · 334214 · 501321 (half) · 1002642

Aliquot sum (sum of proper divisors): 1,002,654

Factor pairs (a × b = 1,002,642)

1 × 1002642

2 × 501321

3 × 334214

6 × 167107

First multiples

1,002,642 · 2,005,284 (double) · 3,007,926 · 4,010,568 · 5,013,210 · 6,015,852 · 7,018,494 · 8,021,136 · 9,023,778 · 10,026,420

Sums & aliquot sequence

As consecutive integers: 334,213 + 334,214 + 334,215 250,659 + 250,660 + 250,661 + 250,662 83,548 + 83,549 + … + 83,559

Aliquot sequence: 1,002,642 → 1,002,654 → 1,212,858 → 1,477,830 → 2,069,034 → 2,907,606 → 3,355,098 → 3,355,110 → 6,164,010 → 9,862,650 → 21,706,758 → 28,090,362 → 28,090,374 → 32,843,226 → 38,563,494 → 38,563,506 → 47,133,294 — unresolved within range

Continued fraction of √n

√1,002,642 = [1001; (3, 8, 12, 3, 7, 3, 2, 4, 7, 1, 1, 1, 13, 2, 1, 5, 3, 8, 1, 10, 1, 1, 1, 1, …)]

Representations

In words: one million two thousand six hundred forty-two
Ordinal: 1002642nd
Binary: 11110100110010010010
Octal: 3646222
Hexadecimal: 0xF4C92
Base64: D0yS
One's complement: 4,293,964,653 (32-bit)
Scientific notation: 1.002642 × 10⁶
As a duration: 1,002,642 s = 11 days, 14 hours, 30 minutes, 42 seconds

In other bases

ternary (3) 1212221100220

quaternary (4) 3310302102

quinary (5) 224041032

senary (6) 33253510

septenary (7) 11344104

nonary (9) 1787326

undecimal (11) 625333

duodecimal (12) 404296

tridecimal (13) 2914a4

tetradecimal (14) 1c1574

pentadecimal (15) 14c12c

As an angle

1,002,642° = 2,785 × 360° + 42°

42° ≈ 0.733 rad

Compass bearing: NE (northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺
Chinese: 一百萬二千六百四十二
Chinese (financial): 壹佰萬貳仟陸佰肆拾貳

In other modern scripts

Eastern Arabic ١٠٠٢٦٤٢ Devanagari १००२६४२ Bengali ১০০২৬৪২ Tamil ௧௦௦௨௬௪௨ Thai ๑๐๐๒๖๔๒ Tibetan ༡༠༠༢༦༤༢ Khmer ១០០២៦៤២ Lao ໑໐໐໒໖໔໒ Burmese ၁၀၀၂၆၄၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1002642, here are decompositions:

19 + 1002623 = 1002642
23 + 1002619 = 1002642
59 + 1002583 = 1002642
73 + 1002569 = 1002642
89 + 1002553 = 1002642
131 + 1002511 = 1002642
139 + 1002503 = 1002642
149 + 1002493 = 1002642

Showing the first eight; more decompositions exist.

Hex color

#0F4C92

RGB(15, 76, 146)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.76.146.

Address: 0.15.76.146
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.76.146

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 1,002,642 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 US1,002,642 on Google Patents ↗ Look up on USPTO ↗