Live analysis

1,006,672

1,006,672 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.).

1,006,672 (one million six thousand six hundred seventy-two) is an even 7-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 17 × 3,701. Its proper divisors sum to 1,059,044, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF5C50.

Abundant Number Evil Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

1 notable fact · grade F

1,006,660 1,006,661 1,006,662 1,006,663 1,006,664 1,006,665 1,006,666 1,006,667 1,006,668 1,006,669 1,006,670 1,006,671 1,006,672 1,006,673 1,006,674 1,006,675 1,006,676 1,006,677 1,006,678 1,006,679 1,006,680 1,006,681 1,006,682 1,006,683 1,006,684

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 22
Digit product: 0
Digital root: 4
Palindrome: No
Bit width: 20 bits
Reversed: 2,766,001
Square (n²): 1,013,388,515,584
Cube (n³): 1,020,149,843,759,976,448
Divisor count: 20
σ(n) — sum of divisors: 2,065,716
φ(n) — Euler's totient: 473,600
Sum of prime factors: 3,726

Primality

Prime factorization: 2 ⁴ × 17 × 3701

Nearest primes: 1,006,651 (−21) · 1,006,711 (+39)

Divisors & multiples

All divisors (20)

1 · 2 · 4 · 8 · 16 · 17 · 34 · 68 · 136 · 272 · 3701 · 7402 · 14804 · 29608 · 59216 · 62917 · 125834 · 251668 · 503336 (half) · 1006672

Aliquot sum (sum of proper divisors): 1,059,044

Factor pairs (a × b = 1,006,672)

1 × 1006672

2 × 503336

4 × 251668

8 × 125834

16 × 62917

17 × 59216

34 × 29608

68 × 14804

136 × 7402

272 × 3701

First multiples

1,006,672 · 2,013,344 (double) · 3,020,016 · 4,026,688 · 5,033,360 · 6,040,032 · 7,046,704 · 8,053,376 · 9,060,048 · 10,066,720

Sums & aliquot sequence

As a sum of two squares: 196² + 984² = 636² + 776²

As consecutive integers: 59,208 + 59,209 + … + 59,224 31,443 + 31,444 + … + 31,474 1,579 + 1,580 + … + 2,122

Aliquot sequence: 1,006,672 → 1,059,044 → 1,084,636 → 1,084,692 → 1,894,508 → 2,239,636 → 2,239,692 → 4,329,444 → 7,800,156 → 16,477,188 → 31,691,772 → 64,695,428 → 64,695,484 → 68,889,716 → 69,776,140 → 97,686,932 → 97,992,748 — unresolved within range

Continued fraction of √n

√1,006,672 = [1003; (3, 38, 3, 1, 9, 11, 1, 3, 2, 1, 2, 2, 1, 222, 3, 1, 6, 4, 7, 6, 8, 1, 5, 12, …)]

Representations

In words: one million six thousand six hundred seventy-two
Ordinal: 1006672nd
Binary: 11110101110001010000
Octal: 3656120
Hexadecimal: 0xF5C50
Base64: D1xQ
One's complement: 4,293,960,623 (32-bit)
Scientific notation: 1.006672 × 10⁶
As a duration: 1,006,672 s = 11 days, 15 hours, 37 minutes, 52 seconds

In other bases

ternary (3) 1220010220011

quaternary (4) 3311301100

quinary (5) 224203142

senary (6) 33324304

septenary (7) 11361622

nonary (9) 1803804

undecimal (11) 628367

duodecimal (12) 406694

tridecimal (13) 293284

tetradecimal (14) 1c2c12

pentadecimal (15) 14d417

As an angle

1,006,672° = 2,796 × 360° + 112°

112° ≈ 1.955 rad

Compass bearing: ESE (east-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Chinese: 一百萬六千六百七十二
Chinese (financial): 壹佰萬陸仟陸佰柒拾貳

In other modern scripts

Eastern Arabic ١٠٠٦٦٧٢ Devanagari १००६६७२ Bengali ১০০৬৬৭২ Tamil ௧௦௦௬௬௭௨ Thai ๑๐๐๖๖๗๒ Tibetan ༡༠༠༦༦༧༢ Khmer ១០០៦៦៧២ Lao ໑໐໐໖໖໗໒ Burmese ၁၀၀၆၆၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1006672, here are decompositions:

59 + 1006613 = 1006672
83 + 1006589 = 1006672
89 + 1006583 = 1006672
113 + 1006559 = 1006672
179 + 1006493 = 1006672
239 + 1006433 = 1006672
281 + 1006391 = 1006672
311 + 1006361 = 1006672

Showing the first eight; more decompositions exist.

Hex color

#0F5C50

RGB(15, 92, 80)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.92.80.

Address: 0.15.92.80
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.92.80

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 1,006,672 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 US1,006,672 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 1006672 first appears in π at position 275,057 of the decimal expansion (the 275,057ordinal-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 1006672 on Pi Search ↗