Live analysis

964,000

964,000 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.).

964,000 (nine hundred sixty-four thousand) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2⁵ × 5³ × 241. Its proper divisors sum to 1,414,376, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xEB5A0.

Abundant Number Evil Number Happy Number Practical Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

963,988 963,989 963,990 963,991 963,992 963,993 963,994 963,995 963,996 963,997 963,998 963,999 964,000 964,001 964,002 964,003 964,004 964,005 964,006 964,007 964,008 964,009 964,010 964,011 964,012

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 19
Digit product: 0
Digital root: 1
Palindrome: No
Bit width: 20 bits
Reversed: 469
Square (n²): 929,296,000,000
Cube (n³): 895,841,344,000,000,000
Divisor count: 48
σ(n) — sum of divisors: 2,378,376
φ(n) — Euler's totient: 384,000
Sum of prime factors: 266

Primality

Prime factorization: 2 ⁵ × 5 ³ × 241

Nearest primes: 963,979 (−21) · 964,009 (+9)

Divisors & multiples

All divisors (48)

1 · 2 · 4 · 5 · 8 · 10 · 16 · 20 · 25 · 32 · 40 · 50 · 80 · 100 · 125 · 160 · 200 · 241 · 250 · 400 · 482 · 500 · 800 · 964 · 1000 · 1205 · 1928 · 2000 · 2410 · 3856 · 4000 · 4820 · 6025 · 7712 · 9640 · 12050 · 19280 · 24100 · 30125 · 38560 · 48200 · 60250 · 96400 · 120500 · 192800 · 241000 · 482000 (half) · 964000

Aliquot sum (sum of proper divisors): 1,414,376

Factor pairs (a × b = 964,000)

1 × 964000

2 × 482000

4 × 241000

5 × 192800

8 × 120500

10 × 96400

16 × 60250

20 × 48200

25 × 38560

32 × 30125

40 × 24100

50 × 19280

80 × 12050

100 × 9640

125 × 7712

160 × 6025

200 × 4820

241 × 4000

250 × 3856

400 × 2410

482 × 2000

500 × 1928

800 × 1205

964 × 1000

First multiples

964,000 · 1,928,000 (double) · 2,892,000 · 3,856,000 · 4,820,000 · 5,784,000 · 6,748,000 · 7,712,000 · 8,676,000 · 9,640,000

Sums & aliquot sequence

As a sum of two squares: 60² + 980² = 332² + 924² = 540² + 820² = 636² + 748²

As consecutive integers: 192,798 + 192,799 + 192,800 + 192,801 + 192,802 38,548 + 38,549 + … + 38,572 15,031 + 15,032 + … + 15,094 7,650 + 7,651 + … + 7,774

Aliquot sequence: 964,000 → 1,414,376 → 1,237,594 → 631,706 → 320,314 → 188,474 → 144,166 → 91,778 → 47,482 → 23,744 → 31,120 → 41,420 → 50,980 → 56,120 → 77,800 → 103,550 → 101,050 — unresolved within range

Continued fraction of √n

√964,000 = [981; (1, 5, 16, 2, 1, 77, 1, 6, 1, 8, 1, 8, 2, 78, 13, 1, 1, 1, 1, 1, 13, 78, 2, 8, …)]

Period length 36 — the block in parentheses repeats forever.

Representations

In words: nine hundred sixty-four thousand
Ordinal: 964000th
Binary: 11101011010110100000
Octal: 3532640
Hexadecimal: 0xEB5A0
Base64: DrWg
One's complement: 4,294,003,295 (32-bit)
Scientific notation: 9.64 × 10⁵
As a duration: 964,000 s = 11 days, 3 hours, 46 minutes, 40 seconds

In other bases

ternary (3) 1210222100201

quaternary (4) 3223112200

quinary (5) 221322000

senary (6) 32354544

septenary (7) 11123332

nonary (9) 1728321

undecimal (11) 5a92a4

duodecimal (12) 3a5a54

tridecimal (13) 279a1b

tetradecimal (14) 1b1452

pentadecimal (15) 14096a

As an angle

964,000° = 2,677 × 360° + 280°

280° ≈ 4.887 rad

Compass bearing: W (west)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼
Greek (Milesian): ͵ϡξδ
Chinese: 九十六萬四千
Chinese (financial): 玖拾陸萬肆仟

In other modern scripts

Eastern Arabic ٩٦٤٠٠٠ Devanagari ९६४००० Bengali ৯৬৪০০০ Tamil ௯௬௪௦௦௦ Thai ๙๖๔๐๐๐ Tibetan ༩༦༤༠༠༠ Khmer ៩៦៤០០០ Lao ໙໖໔໐໐໐ Burmese ၉၆၄၀၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 964000, here are decompositions:

101 + 963899 = 964000
137 + 963863 = 964000
239 + 963761 = 964000
269 + 963731 = 964000
281 + 963719 = 964000
293 + 963707 = 964000
311 + 963689 = 964000
347 + 963653 = 964000

Showing the first eight; more decompositions exist.

Hex color

#0EB5A0

RGB(14, 181, 160)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.14.181.160.

Address: 0.14.181.160
Class: reserved
IPv4-mapped IPv6: ::ffff:0.14.181.160

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 964,000 and was likely granted around 1910.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Look up US964,000 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 964000 first appears in π at position 38,964 of the decimal expansion (the 38,964ordinal-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 964000 on Pi Search ↗