Live analysis

1,009,664

1,009,664 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.).

1,009,664 (one million nine thousand six hundred sixty-four) is an even 7-digit number. It is a composite number with 48 divisors, and factors as 2¹¹ × 17 × 29. Its proper divisors sum to 1,201,636, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF6800.

Abundant Number Odious Number Pernicious Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

1,009,652 1,009,653 1,009,654 1,009,655 1,009,656 1,009,657 1,009,658 1,009,659 1,009,660 1,009,661 1,009,662 1,009,663 1,009,664 1,009,665 1,009,666 1,009,667 1,009,668 1,009,669 1,009,670 1,009,671 1,009,672 1,009,673 1,009,674 1,009,675 1,009,676

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 26
Digit product: 0
Digital root: 8
Palindrome: No
Bit width: 20 bits
Reversed: 4,669,001
Recamán's sequence: a(346,123) = 1,009,664
Square (n²): 1,019,421,392,896
Cube (n³): 1,029,273,081,236,946,944
Divisor count: 48
σ(n) — sum of divisors: 2,211,300
φ(n) — Euler's totient: 458,752
Sum of prime factors: 68

Primality

Prime factorization: 2 ¹¹ × 17 × 29

Nearest primes: 1,009,651 (−13) · 1,009,669 (+5)

Divisors & multiples

All divisors (48)

1 · 2 · 4 · 8 · 16 · 17 · 29 · 32 · 34 · 58 · 64 · 68 · 116 · 128 · 136 · 232 · 256 · 272 · 464 · 493 · 512 · 544 · 928 · 986 · 1024 · 1088 · 1856 · 1972 · 2048 · 2176 · 3712 · 3944 · 4352 · 7424 · 7888 · 8704 · 14848 · 15776 · 17408 · 29696 · 31552 · 34816 · 59392 · 63104 · 126208 · 252416 · 504832 (half) · 1009664

Aliquot sum (sum of proper divisors): 1,201,636

Factor pairs (a × b = 1,009,664)

1 × 1009664

2 × 504832

4 × 252416

8 × 126208

16 × 63104

17 × 59392

29 × 34816

32 × 31552

34 × 29696

58 × 17408

64 × 15776

68 × 14848

116 × 8704

128 × 7888

136 × 7424

232 × 4352

256 × 3944

272 × 3712

464 × 2176

493 × 2048

512 × 1972

544 × 1856

928 × 1088

986 × 1024

First multiples

1,009,664 · 2,019,328 (double) · 3,028,992 · 4,038,656 · 5,048,320 · 6,057,984 · 7,067,648 · 8,077,312 · 9,086,976 · 10,096,640

Sums & aliquot sequence

As a sum of two squares: 160² + 992² = 608² + 800²

As consecutive integers: 59,384 + 59,385 + … + 59,400 34,802 + 34,803 + … + 34,830 1,802 + 1,803 + … + 2,294

Aliquot sequence: 1,009,664 → 1,201,636 → 1,048,444 → 786,340 → 865,016 → 756,904 → 662,306 → 331,156 → 331,212 → 552,244 → 669,228 → 1,180,116 → 2,394,924 → 4,107,180 → 10,601,556 → 18,146,604 → 30,461,396 — unresolved within range

Continued fraction of √n

√1,009,664 = [1004; (1, 4, 1, 1, 3, 4, 1, 2, 1, 7, 8, 1, 7, 1, 1, 13, 3, 31, 13, 3, 1, 1, 1, 1, …)]

Representations

In words: one million nine thousand six hundred sixty-four
Ordinal: 1009664th
Binary: 11110110100000000000
Octal: 3664000
Hexadecimal: 0xF6800
Base64: D2gA
One's complement: 4,293,957,631 (32-bit)
Scientific notation: 1.009664 × 10⁶
As a duration: 1,009,664 s = 11 days, 16 hours, 27 minutes, 44 seconds

In other bases

ternary (3) 1220021222222

quaternary (4) 3312200000

quinary (5) 224302124

senary (6) 33350212

septenary (7) 11403425

nonary (9) 1807888

undecimal (11) 62a637

duodecimal (12) 408368

tridecimal (13) 294746

tetradecimal (14) 1c3d4c

pentadecimal (15) 14e25e

As an angle

1,009,664° = 2,804 × 360° + 224°

224° ≈ 3.91 rad

Compass bearing: SW (southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Chinese: 一百萬九千六百六十四
Chinese (financial): 壹佰萬玖仟陸佰陸拾肆

In other modern scripts

Eastern Arabic ١٠٠٩٦٦٤ Devanagari १००९६६४ Bengali ১০০৯৬৬৪ Tamil ௧௦௦௯௬௬௪ Thai ๑๐๐๙๖๖๔ Tibetan ༡༠༠༩༦༦༤ Khmer ១០០៩៦៦៤ Lao ໑໐໐໙໖໖໔ Burmese ၁၀၀၉၆၆၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1009664, here are decompositions:

13 + 1009651 = 1009664
37 + 1009627 = 1009664
43 + 1009621 = 1009664
127 + 1009537 = 1009664
157 + 1009507 = 1009664
163 + 1009501 = 1009664
181 + 1009483 = 1009664
277 + 1009387 = 1009664

Showing the first eight; more decompositions exist.

Hex color

#0F6800

RGB(15, 104, 0)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.104.0.

Address: 0.15.104.0
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.104.0

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 1,009,664 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 US1,009,664 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 1009664 first appears in π at position 934,663 of the decimal expansion (the 934,663ordinal-suffix:rd 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 1009664 on Pi Search ↗