Live analysis

1,007,012

1,007,012 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.).

1,007,012 (one million seven thousand twelve) is an even 7-digit number. It is a composite number with 24 divisors, and factors as 2² × 17 × 59 × 251. Written other ways, in hexadecimal, 0xF5DA4.

Arithmetic Number Cube-Free Deficient Number Evil Number Pronic / Oblong

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

1,007,000 1,007,001 1,007,002 1,007,003 1,007,004 1,007,005 1,007,006 1,007,007 1,007,008 1,007,009 1,007,010 1,007,011 1,007,012 1,007,013 1,007,014 1,007,015 1,007,016 1,007,017 1,007,018 1,007,019 1,007,020 1,007,021 1,007,022 1,007,023 1,007,024

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 11
Digit product: 0
Digital root: 2
Palindrome: No
Bit width: 20 bits
Reversed: 2,107,001
Square (n²): 1,014,073,168,144
Cube (n³): 1,021,183,849,199,025,728
Divisor count: 24
σ(n) — sum of divisors: 1,905,120
φ(n) — Euler's totient: 464,000
Sum of prime factors: 331

Primality

Prime factorization: 2 ² × 17 × 59 × 251

Nearest primes: 1,006,991 (−21) · 1,007,021 (+9)

Divisors & multiples

All divisors (24)

1 · 2 · 4 · 17 · 34 · 59 · 68 · 118 · 236 · 251 · 502 · 1003 · 1004 · 2006 · 4012 · 4267 · 8534 · 14809 · 17068 · 29618 · 59236 · 251753 · 503506 (half) · 1007012

Aliquot sum (sum of proper divisors): 898,108

Factor pairs (a × b = 1,007,012)

1 × 1007012

2 × 503506

4 × 251753

17 × 59236

34 × 29618

59 × 17068

68 × 14809

118 × 8534

236 × 4267

251 × 4012

502 × 2006

1003 × 1004

First multiples

1,007,012 · 2,014,024 (double) · 3,021,036 · 4,028,048 · 5,035,060 · 6,042,072 · 7,049,084 · 8,056,096 · 9,063,108 · 10,070,120

Sums & aliquot sequence

As consecutive integers: 125,873 + 125,874 + … + 125,880 59,228 + 59,229 + … + 59,244 17,039 + 17,040 + … + 17,097 7,337 + 7,338 + … + 7,472

Aliquot sequence: 1,007,012 → 898,108 → 673,588 → 567,372 → 858,724 → 723,276 → 1,213,204 → 1,002,380 → 1,102,660 → 1,391,636 → 1,172,044 → 905,556 → 1,441,068 → 2,157,492 → 3,096,204 → 4,238,004 → 5,710,956 — unresolved within range

Continued fraction of √n

√1,007,012 = [1003; (2, 2006)]

Period length 2 — the block in parentheses repeats forever.

Representations

In words: one million seven thousand twelve
Ordinal: 1007012th
Binary: 11110101110110100100
Octal: 3656644
Hexadecimal: 0xF5DA4
Base64: D12k
One's complement: 4,293,960,283 (32-bit)
Scientific notation: 1.007012 × 10⁶
As a duration: 1,007,012 s = 11 days, 15 hours, 43 minutes, 32 seconds

In other bases

ternary (3) 1220011100202

quaternary (4) 3311312210

quinary (5) 224211022

senary (6) 33330032

septenary (7) 11362616

nonary (9) 1804322

undecimal (11) 628646

duodecimal (12) 406918

tridecimal (13) 293486

tetradecimal (14) 1c2db6

pentadecimal (15) 14d592

As an angle

1,007,012° = 2,797 × 360° + 92°

92° ≈ 1.606 rad

Compass bearing: E (east)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓏺𓏺
Chinese: 一百萬七千零一十二
Chinese (financial): 壹佰萬柒仟零壹拾貳

In other modern scripts

Eastern Arabic ١٠٠٧٠١٢ Devanagari १००७०१२ Bengali ১০০৭০১২ Tamil ௧௦௦௭௦௧௨ Thai ๑๐๐๗๐๑๒ Tibetan ༡༠༠༧༠༡༢ Khmer ១០០៧០១២ Lao ໑໐໐໗໐໑໒ Burmese ၁၀၀၇၀၁၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1007012, here are decompositions:

43 + 1006969 = 1007012
79 + 1006933 = 1007012
151 + 1006861 = 1007012
229 + 1006783 = 1007012
379 + 1006633 = 1007012
499 + 1006513 = 1007012
541 + 1006471 = 1007012
571 + 1006441 = 1007012

Showing the first eight; more decompositions exist.

Hex color

#0F5DA4

RGB(15, 93, 164)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.93.164.

Address: 0.15.93.164
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.93.164

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 1,007,012 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 US1,007,012 on Google Patents ↗ Look up on USPTO ↗