Live analysis

1,007,220

1,007,220 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.).

1,007,220 (one million seven thousand two hundred twenty) is an even 7-digit number. It is a composite number with 24 divisors, and factors as 2² × 3 × 5 × 16,787. Its proper divisors sum to 1,813,164, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF5E74.

Abundant Number Arithmetic Number Cube-Free Gapful Number Harshad / Niven Odious Number Pernicious Number Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,007,208 1,007,209 1,007,210 1,007,211 1,007,212 1,007,213 1,007,214 1,007,215 1,007,216 1,007,217 1,007,218 1,007,219 1,007,220 1,007,221 1,007,222 1,007,223 1,007,224 1,007,225 1,007,226 1,007,227 1,007,228 1,007,229 1,007,230 1,007,231 1,007,232

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 12
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 20 bits
Reversed: 227,001
Square (n²): 1,014,492,128,400
Cube (n³): 1,021,816,761,567,048,000
Divisor count: 24
σ(n) — sum of divisors: 2,820,384
φ(n) — Euler's totient: 268,576
Sum of prime factors: 16,799

Primality

Prime factorization: 2 ² × 3 × 5 × 16787

Nearest primes: 1,007,203 (−17) · 1,007,231 (+11)

Divisors & multiples

All divisors (24)

1 · 2 · 3 · 4 · 5 · 6 · 10 · 12 · 15 · 20 · 30 · 60 · 16787 · 33574 · 50361 · 67148 · 83935 · 100722 · 167870 · 201444 · 251805 · 335740 · 503610 (half) · 1007220

Aliquot sum (sum of proper divisors): 1,813,164

Factor pairs (a × b = 1,007,220)

1 × 1007220

2 × 503610

3 × 335740

4 × 251805

5 × 201444

6 × 167870

10 × 100722

12 × 83935

15 × 67148

20 × 50361

30 × 33574

60 × 16787

First multiples

1,007,220 · 2,014,440 (double) · 3,021,660 · 4,028,880 · 5,036,100 · 6,043,320 · 7,050,540 · 8,057,760 · 9,064,980 · 10,072,200

Sums & aliquot sequence

As consecutive integers: 335,739 + 335,740 + 335,741 201,442 + 201,443 + 201,444 + 201,445 + 201,446 125,899 + 125,900 + … + 125,906 67,141 + 67,142 + … + 67,155

Aliquot sequence: 1,007,220 → 1,813,164 → 2,488,644 → 4,018,010 → 3,238,726 → 1,632,794 → 844,186 → 688,550 → 623,866 → 387,014 → 193,510 → 164,906 → 117,814 → 58,910 → 50,386 → 38,894 → 19,450 — unresolved within range

Continued fraction of √n

√1,007,220 = [1003; (1, 1, 1, 1, 10, 1, 4, 8, 1, 1, 3, 1, 1, 3, 1, 2, 1, 1, 5, 2, 1, 1, 16, 3, …)]

Representations

In words: one million seven thousand two hundred twenty
Ordinal: 1007220th
Binary: 11110101111001110100
Octal: 3657164
Hexadecimal: 0xF5E74
Base64: D150
One's complement: 4,293,960,075 (32-bit)
Scientific notation: 1.00722 × 10⁶
As a duration: 1,007,220 s = 11 days, 15 hours, 47 minutes

In other bases

ternary (3) 1220011122110

quaternary (4) 3311321310

quinary (5) 224212340

senary (6) 33331020

septenary (7) 11363334

nonary (9) 1804573

undecimal (11) 628815

duodecimal (12) 406a70

tridecimal (13) 2935b6

tetradecimal (14) 1c30c4

pentadecimal (15) 14d680

As an angle

1,007,220° = 2,797 × 360° + 300°

300° ≈ 5.236 rad

Compass bearing: WNW (west-northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓎆𓎆
Chinese: 一百萬七千二百二十
Chinese (financial): 壹佰萬柒仟貳佰貳拾

In other modern scripts

Eastern Arabic ١٠٠٧٢٢٠ Devanagari १००७२२० Bengali ১০০৭২২০ Tamil ௧௦௦௭௨௨௦ Thai ๑๐๐๗๒๒๐ Tibetan ༡༠༠༧༢༢༠ Khmer ១០០៧២២០ Lao ໑໐໐໗໒໒໐ Burmese ၁၀၀၇၂၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1007220, here are decompositions:

17 + 1007203 = 1007220
41 + 1007179 = 1007220
47 + 1007173 = 1007220
59 + 1007161 = 1007220
83 + 1007137 = 1007220
101 + 1007119 = 1007220
103 + 1007117 = 1007220
131 + 1007089 = 1007220

Showing the first eight; more decompositions exist.

Hex color

#0F5E74

RGB(15, 94, 116)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.94.116.

Address: 0.15.94.116
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.94.116

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 1,007,220 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 US1,007,220 on Google Patents ↗ Look up on USPTO ↗