Live analysis

1,008,020

1,008,020 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.).

1,008,020 (one million eight thousand twenty) is an even 7-digit number. It is a composite number with 24 divisors, and factors as 2² × 5 × 13 × 3,877. Its proper divisors sum to 1,272,244, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF6194.

Abundant Number Arithmetic Number Cube-Free Evil Number Gapful Number Recamán's Sequence Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,008,008 1,008,009 1,008,010 1,008,011 1,008,012 1,008,013 1,008,014 1,008,015 1,008,016 1,008,017 1,008,018 1,008,019 1,008,020 1,008,021 1,008,022 1,008,023 1,008,024 1,008,025 1,008,026 1,008,027 1,008,028 1,008,029 1,008,030 1,008,031 1,008,032

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 11
Digit product: 0
Digital root: 2
Palindrome: No
Bit width: 20 bits
Reversed: 208,001
Recamán's sequence: a(349,411) = 1,008,020
Square (n²): 1,016,104,320,400
Cube (n³): 1,024,253,477,049,608,000
Divisor count: 24
σ(n) — sum of divisors: 2,280,264
φ(n) — Euler's totient: 372,096
Sum of prime factors: 3,899

Primality

Prime factorization: 2 ² × 5 × 13 × 3877

Nearest primes: 1,008,017 (−3) · 1,008,031 (+11)

Divisors & multiples

All divisors (24)

1 · 2 · 4 · 5 · 10 · 13 · 20 · 26 · 52 · 65 · 130 · 260 · 3877 · 7754 · 15508 · 19385 · 38770 · 50401 · 77540 · 100802 · 201604 · 252005 · 504010 (half) · 1008020

Aliquot sum (sum of proper divisors): 1,272,244

Factor pairs (a × b = 1,008,020)

1 × 1008020

2 × 504010

4 × 252005

5 × 201604

10 × 100802

13 × 77540

20 × 50401

26 × 38770

52 × 19385

65 × 15508

130 × 7754

260 × 3877

First multiples

1,008,020 · 2,016,040 (double) · 3,024,060 · 4,032,080 · 5,040,100 · 6,048,120 · 7,056,140 · 8,064,160 · 9,072,180 · 10,080,200

Sums & aliquot sequence

As a sum of two squares: 2² + 1,004² = 388² + 926² = 508² + 866² = 604² + 802²

As consecutive integers: 201,602 + 201,603 + 201,604 + 201,605 + 201,606 125,999 + 126,000 + … + 126,006 77,534 + 77,535 + … + 77,546 25,181 + 25,182 + … + 25,220

Aliquot sequence: 1,008,020 → 1,272,244 → 985,200 → 2,174,568 → 3,756,792 → 6,358,488 → 10,230,312 → 15,433,368 → 25,485,672 → 38,228,568 → 71,495,592 → 141,670,488 → 214,297,512 → 452,313,048 → 801,535,272 → 1,202,302,968 → 1,980,264,792 — unresolved within range

Continued fraction of √n

√1,008,020 = [1004; (502, 2008)]

Period length 2 — the block in parentheses repeats forever.

Representations

In words: one million eight thousand twenty
Ordinal: 1008020th
Binary: 11110110000110010100
Octal: 3660624
Hexadecimal: 0xF6194
Base64: D2GU
One's complement: 4,293,959,275 (32-bit)
Scientific notation: 1.00802 × 10⁶
As a duration: 1,008,020 s = 11 days, 16 hours, 20 seconds

In other bases

ternary (3) 1220012202002

quaternary (4) 3312012110

quinary (5) 224224040

senary (6) 33334432

septenary (7) 11365556

nonary (9) 1805662

undecimal (11) 629382

duodecimal (12) 407418

tridecimal (13) 293a80

tetradecimal (14) 1c34d6

pentadecimal (15) 14da15

As an angle

1,008,020° = 2,800 × 360° + 20°

20° ≈ 0.349 rad

Compass bearing: NNE (north-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 · 𒌋𒌋
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆
Chinese: 一百萬八千零二十
Chinese (financial): 壹佰萬捌仟零貳拾

In other modern scripts

Eastern Arabic ١٠٠٨٠٢٠ Devanagari १००८०२० Bengali ১০০৮০২০ Tamil ௧௦௦௮௦௨௦ Thai ๑๐๐๘๐๒๐ Tibetan ༡༠༠༨༠༢༠ Khmer ១០០៨០២០ Lao ໑໐໐໘໐໒໐ Burmese ၁၀၀၈၀၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1008020, here are decompositions:

3 + 1008017 = 1008020
7 + 1008013 = 1008020
19 + 1008001 = 1008020
43 + 1007977 = 1008020
61 + 1007959 = 1008020
163 + 1007857 = 1008020
193 + 1007827 = 1008020
271 + 1007749 = 1008020

Showing the first eight; more decompositions exist.

Hex color

#0F6194

RGB(15, 97, 148)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.97.148.

Address: 0.15.97.148
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.97.148

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 1,008,020 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 US1,008,020 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 1008020 first appears in π at position 694,742 of the decimal expansion (the 694,742ordinal-suffix:nd digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.

Look up 1008020 on Pi Search ↗