Live analysis

1,007,216

1,007,216 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.).

1,007,216 (one million seven thousand two hundred sixteen) is an even 7-digit number. It is a composite number with 60 divisors, and factors as 2⁴ × 7 × 17 × 23². Its proper divisors sum to 1,461,376, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF5E70.

Abundant Number Evil Number Gapful Number Happy Number Harshad / Niven Practical Number Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,007,204 1,007,205 1,007,206 1,007,207 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

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 17
Digit product: 0
Digital root: 8
Palindrome: No
Bit width: 20 bits
Reversed: 6,127,001
Square (n²): 1,014,484,070,656
Cube (n³): 1,021,804,587,709,853,696
Divisor count: 60
σ(n) — sum of divisors: 2,468,592
φ(n) — Euler's totient: 388,608
Sum of prime factors: 78

Primality

Prime factorization: 2 ⁴ × 7 × 17 × 23 ²

Nearest primes: 1,007,203 (−13) · 1,007,231 (+15)

Divisors & multiples

All divisors (60)

1 · 2 · 4 · 7 · 8 · 14 · 16 · 17 · 23 · 28 · 34 · 46 · 56 · 68 · 92 · 112 · 119 · 136 · 161 · 184 · 238 · 272 · 322 · 368 · 391 · 476 · 529 · 644 · 782 · 952 · 1058 · 1288 · 1564 · 1904 · 2116 · 2576 · 2737 · 3128 · 3703 · 4232 · 5474 · 6256 · 7406 · 8464 · 8993 · 10948 · 14812 · 17986 · 21896 · 29624 · 35972 · 43792 · 59248 · 62951 · 71944 · 125902 · 143888 · 251804 · 503608 (half) · 1007216

Aliquot sum (sum of proper divisors): 1,461,376

Factor pairs (a × b = 1,007,216)

1 × 1007216

2 × 503608

4 × 251804

7 × 143888

8 × 125902

14 × 71944

16 × 62951

17 × 59248

23 × 43792

28 × 35972

34 × 29624

46 × 21896

56 × 17986

68 × 14812

92 × 10948

112 × 8993

119 × 8464

136 × 7406

161 × 6256

184 × 5474

238 × 4232

272 × 3703

322 × 3128

368 × 2737

391 × 2576

476 × 2116

529 × 1904

644 × 1564

782 × 1288

952 × 1058

First multiples

1,007,216 · 2,014,432 (double) · 3,021,648 · 4,028,864 · 5,036,080 · 6,043,296 · 7,050,512 · 8,057,728 · 9,064,944 · 10,072,160

Sums & aliquot sequence

As consecutive integers: 143,885 + 143,886 + … + 143,891 59,240 + 59,241 + … + 59,256 43,781 + 43,782 + … + 43,803 31,460 + 31,461 + … + 31,491

Aliquot sequence: 1,007,216 → 1,461,376 → 1,939,814 → 969,910 → 852,266 → 430,774 → 230,546 → 133,534 → 68,426 → 34,216 → 46,424 → 53,176 → 57,344 → 73,720 → 102,680 → 143,560 → 191,600 — unresolved within range

Continued fraction of √n

√1,007,216 = [1003; (1, 1, 1, 1, 25, 1, 4, 3, 1, 1, 2, 5, 5, 1, 6, 6, 2, 3, 3, 79, 1, 61, 1, 2, …)]

Representations

In words: one million seven thousand two hundred sixteen
Ordinal: 1007216th
Binary: 11110101111001110000
Octal: 3657160
Hexadecimal: 0xF5E70
Base64: D15w
One's complement: 4,293,960,079 (32-bit)
Scientific notation: 1.007216 × 10⁶
As a duration: 1,007,216 s = 11 days, 15 hours, 46 minutes, 56 seconds

In other bases

ternary (3) 1220011122022

quaternary (4) 3311321300

quinary (5) 224212331

senary (6) 33331012

septenary (7) 11363330

nonary (9) 1804568

undecimal (11) 628811

duodecimal (12) 406a68

tridecimal (13) 2935b2

tetradecimal (14) 1c30c0

pentadecimal (15) 14d67b

As an angle

1,007,216° = 2,797 × 360° + 296°

296° ≈ 5.166 rad

Compass bearing: WNW (west-northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Chinese: 一百萬七千二百一十六
Chinese (financial): 壹佰萬柒仟貳佰壹拾陸

In other modern scripts

Eastern Arabic ١٠٠٧٢١٦ Devanagari १००७२१६ Bengali ১০০৭২১৬ Tamil ௧௦௦௭௨௧௬ Thai ๑๐๐๗๒๑๖ Tibetan ༡༠༠༧༢༡༦ Khmer ១០០៧២១៦ Lao ໑໐໐໗໒໑໖ Burmese ၁၀၀၇၂၁၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1007216, here are decompositions:

13 + 1007203 = 1007216
37 + 1007179 = 1007216
43 + 1007173 = 1007216
79 + 1007137 = 1007216
97 + 1007119 = 1007216
127 + 1007089 = 1007216
157 + 1007059 = 1007216
193 + 1007023 = 1007216

Showing the first eight; more decompositions exist.

Hex color

#0F5E70

RGB(15, 94, 112)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.94.112.

Address: 0.15.94.112
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.94.112

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 1,007,216 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 US1,007,216 on Google Patents ↗ Look up on USPTO ↗