Live analysis

1,001,010

1,001,010 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.).

1,001,010 (one million one thousand ten) is an even 7-digit number. It is a composite number with 32 divisors, and factors as 2 × 3 × 5 × 61 × 547. Its proper divisors sum to 1,445,262, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF4632.

Abundant Number Arithmetic Number Cube-Free Evil Number Flippable Gapful Number Harshad / Niven Practical Number Semiperfect Number Squarefree

Interestingness

★ ★ ★ ★ ★

8 notable facts · grade A

1,000,998 1,000,999 1,001,000 1,001,001 1,001,002 1,001,003 1,001,004 1,001,005 1,001,006 1,001,007 1,001,008 1,001,009 1,001,010 1,001,011 1,001,012 1,001,013 1,001,014 1,001,015 1,001,016 1,001,017 1,001,018 1,001,019 1,001,020 1,001,021 1,001,022

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 3
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 20 bits
Reversed: 101,001
Flips to (rotate 180°): 101,001
Square (n²): 1,002,021,020,100
Cube (n³): 1,003,033,061,330,301,000
Divisor count: 32
σ(n) — sum of divisors: 2,446,272
φ(n) — Euler's totient: 262,080
Sum of prime factors: 618

Primality

Prime factorization: 2 × 3 × 5 × 61 × 547

Nearest primes: 1,001,003 (−7) · 1,001,017 (+7)

Divisors & multiples

All divisors (32)

1 · 2 · 3 · 5 · 6 · 10 · 15 · 30 · 61 · 122 · 183 · 305 · 366 · 547 · 610 · 915 · 1094 · 1641 · 1830 · 2735 · 3282 · 5470 · 8205 · 16410 · 33367 · 66734 · 100101 · 166835 · 200202 · 333670 · 500505 (half) · 1001010

Aliquot sum (sum of proper divisors): 1,445,262

Factor pairs (a × b = 1,001,010)

1 × 1001010

2 × 500505

3 × 333670

5 × 200202

6 × 166835

10 × 100101

15 × 66734

30 × 33367

61 × 16410

122 × 8205

183 × 5470

305 × 3282

366 × 2735

547 × 1830

610 × 1641

915 × 1094

First multiples

1,001,010 · 2,002,020 (double) · 3,003,030 · 4,004,040 · 5,005,050 · 6,006,060 · 7,007,070 · 8,008,080 · 9,009,090 · 10,010,100

Sums & aliquot sequence

As consecutive integers: 333,669 + 333,670 + 333,671 250,251 + 250,252 + 250,253 + 250,254 200,200 + 200,201 + 200,202 + 200,203 + 200,204 83,412 + 83,413 + … + 83,423

Aliquot sequence: 1,001,010 → 1,445,262 → 2,113,650 → 5,082,318 → 6,211,842 → 9,615,102 → 13,520,898 → 18,412,542 → 22,663,458 → 26,440,740 → 53,763,384 → 89,345,256 → 210,635,544 → 391,180,776 → 730,222,104 → 1,096,048,536 → 1,893,175,464 — unresolved within range

Continued fraction of √n

√1,001,010 = [1000; (1, 1, 50, 1, 4, 4, 1, 11, 30, 1, 2, 2, 1, 132, 1, 2, 2, 1, 30, 11, 1, 4, 4, 1, …)]

Period length 28 — the block in parentheses repeats forever.

Representations

In words: one million one thousand ten
Ordinal: 1001010th
Binary: 11110100011000110010
Octal: 3643062
Hexadecimal: 0xF4632
Base64: D0Yy
One's complement: 4,293,966,285 (32-bit)
Scientific notation: 1.00101 × 10⁶
As a duration: 1,001,010 s = 11 days, 14 hours, 3 minutes, 30 seconds

In other bases

ternary (3) 1212212010110

quaternary (4) 3310120302

quinary (5) 224013020

senary (6) 33242150

septenary (7) 11336253

nonary (9) 1785113

undecimal (11) 62408a

duodecimal (12) 403356

tridecimal (13) 29081a

tetradecimal (14) 1c0b2a

pentadecimal (15) 14b8e0

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹 𒌋𒌋𒌋
Egyptian hieroglyphic: 𓁨𓆼𓎆
Chinese: 一百萬一千零一十
Chinese (financial): 壹佰萬壹仟零壹拾

In other modern scripts

Eastern Arabic ١٠٠١٠١٠ Devanagari १००१०१० Bengali ১০০১০১০ Tamil ௧௦௦௧௦௧௦ Thai ๑๐๐๑๐๑๐ Tibetan ༡༠༠༡༠༡༠ Khmer ១០០១០១០ Lao ໑໐໐໑໐໑໐ Burmese ၁၀၀၁၀၁၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1001010, here are decompositions:

7 + 1001003 = 1001010
11 + 1000999 = 1001010
29 + 1000981 = 1001010
37 + 1000973 = 1001010
41 + 1000969 = 1001010
79 + 1000931 = 1001010
89 + 1000921 = 1001010
103 + 1000907 = 1001010

Showing the first eight; more decompositions exist.

Hex color

#0F4632

RGB(15, 70, 50)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.70.50.

Address: 0.15.70.50
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.70.50

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 1,001,010 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 US1,001,010 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 1001010 first appears in π at position 981,504 of the decimal expansion (the 981,504ordinal-suffix:th 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 1001010 on Pi Search ↗