Live analysis

1,010,672

1,010,672 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.).

1,010,672 (one million ten thousand six hundred seventy-two) is an even 7-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 13 × 43 × 113. Its proper divisors sum to 1,166,272, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF6BF0.

Abundant Number Happy Number Odious Number Pernicious Number Practical Number Self Number Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

1,010,660 1,010,661 1,010,662 1,010,663 1,010,664 1,010,665 1,010,666 1,010,667 1,010,668 1,010,669 1,010,670 1,010,671 1,010,672 1,010,673 1,010,674 1,010,675 1,010,676 1,010,677 1,010,678 1,010,679 1,010,680 1,010,681 1,010,682 1,010,683 1,010,684

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 17
Digit product: 0
Digital root: 8
Palindrome: No
Bit width: 20 bits
Reversed: 2,760,101
Square (n²): 1,021,457,891,584
Cube (n³): 1,032,358,890,202,984,448
Divisor count: 40
σ(n) — sum of divisors: 2,176,944
φ(n) — Euler's totient: 451,584
Sum of prime factors: 177

Primality

Prime factorization: 2 ⁴ × 13 × 43 × 113

Nearest primes: 1,010,671 (−1) · 1,010,683 (+11)

Divisors & multiples

All divisors (40)

1 · 2 · 4 · 8 · 13 · 16 · 26 · 43 · 52 · 86 · 104 · 113 · 172 · 208 · 226 · 344 · 452 · 559 · 688 · 904 · 1118 · 1469 · 1808 · 2236 · 2938 · 4472 · 4859 · 5876 · 8944 · 9718 · 11752 · 19436 · 23504 · 38872 · 63167 · 77744 · 126334 · 252668 · 505336 (half) · 1010672

Aliquot sum (sum of proper divisors): 1,166,272

Factor pairs (a × b = 1,010,672)

1 × 1010672

2 × 505336

4 × 252668

8 × 126334

13 × 77744

16 × 63167

26 × 38872

43 × 23504

52 × 19436

86 × 11752

104 × 9718

113 × 8944

172 × 5876

208 × 4859

226 × 4472

344 × 2938

452 × 2236

559 × 1808

688 × 1469

904 × 1118

First multiples

1,010,672 · 2,021,344 (double) · 3,032,016 · 4,042,688 · 5,053,360 · 6,064,032 · 7,074,704 · 8,085,376 · 9,096,048 · 10,106,720

Sums & aliquot sequence

As consecutive integers: 77,738 + 77,739 + … + 77,750 31,568 + 31,569 + … + 31,599 23,483 + 23,484 + … + 23,525 8,888 + 8,889 + … + 9,000

Aliquot sequence: 1,010,672 → 1,166,272 → 1,148,176 → 1,076,446 → 849,698 → 424,852 → 318,646 → 164,114 → 90,094 → 46,634 → 33,334 → 23,834 → 14,074 → 7,814 → 3,910 → 3,866 → 1,936 — unresolved within range

Continued fraction of √n

√1,010,672 = [1005; (3, 9, 3, 2010)]

Period length 4 — the block in parentheses repeats forever.

Representations

In words: one million ten thousand six hundred seventy-two
Ordinal: 1010672nd
Binary: 11110110101111110000
Octal: 3665760
Hexadecimal: 0xF6BF0
Base64: D2vw
One's complement: 4,293,956,623 (32-bit)
Scientific notation: 1.010672 × 10⁶
As a duration: 1,010,672 s = 11 days, 16 hours, 44 minutes, 32 seconds

In other bases

ternary (3) 1220100101022

quaternary (4) 3312233300

quinary (5) 224320142

senary (6) 33355012

septenary (7) 11406365

nonary (9) 1810338

undecimal (11) 630373

duodecimal (12) 408a68

tridecimal (13) 295040

tetradecimal (14) 1c446c

pentadecimal (15) 14e6d2

As an angle

1,010,672° = 2,807 × 360° + 152°

152° ≈ 2.653 rad

Compass bearing: SSE (south-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic: 𓁨𓂍𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Chinese: 一百零一萬零六百七十二
Chinese (financial): 壹佰零壹萬零陸佰柒拾貳

In other modern scripts

Eastern Arabic ١٠١٠٦٧٢ Devanagari १०१०६७२ Bengali ১০১০৬৭২ Tamil ௧௦௧௦௬௭௨ Thai ๑๐๑๐๖๗๒ Tibetan ༡༠༡༠༦༧༢ Khmer ១០១០៦៧២ Lao ໑໐໑໐໖໗໒ Burmese ၁၀၁၀၆၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1010672, here are decompositions:

163 + 1010509 = 1010672
181 + 1010491 = 1010672
199 + 1010473 = 1010672
211 + 1010461 = 1010672
241 + 1010431 = 1010672
409 + 1010263 = 1010672
541 + 1010131 = 1010672
709 + 1009963 = 1010672

Showing the first eight; more decompositions exist.

Hex color

#0F6BF0

RGB(15, 107, 240)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.107.240.

Address: 0.15.107.240
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.107.240

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Possible date

Could be parsed as a date. Most likely interpretation: Monday, January 1, 0672 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)

0672-10-01 (MMDYYYY (US, single-digit day))
0672-01-10 (DDMYYYY (Euro, single-digit month))

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 1,010,672 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 US1,010,672 on Google Patents ↗ Look up on USPTO ↗