Live analysis

961,000

961,000 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.).

961,000 (nine hundred sixty-one thousand) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2³ × 5³ × 31². Its proper divisors sum to 1,362,620, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xEA9E8.

Abundant Number Achilles Number Flippable Odious Number Pentagonal Pyramidal Pernicious Number Powerful Number Practical Number Semiperfect Number

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

960,988 960,989 960,990 960,991 960,992 960,993 960,994 960,995 960,996 960,997 960,998 960,999 961,000 961,001 961,002 961,003 961,004 961,005 961,006 961,007 961,008 961,009 961,010 961,011 961,012

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 16
Digit product: 0
Digital root: 7
Palindrome: No
Bit width: 20 bits
Reversed: 169
Flips to (rotate 180°): 196
Square (n²): 923,521,000,000
Cube (n³): 887,503,681,000,000,000
Divisor count: 48
σ(n) — sum of divisors: 2,323,620
φ(n) — Euler's totient: 372,000
Sum of prime factors: 83

Primality

Prime factorization: 2 ³ × 5 ³ × 31 ²

Nearest primes: 960,991 (−9) · 961,003 (+3)

Divisors & multiples

All divisors (48)

1 · 2 · 4 · 5 · 8 · 10 · 20 · 25 · 31 · 40 · 50 · 62 · 100 · 124 · 125 · 155 · 200 · 248 · 250 · 310 · 500 · 620 · 775 · 961 · 1000 · 1240 · 1550 · 1922 · 3100 · 3844 · 3875 · 4805 · 6200 · 7688 · 7750 · 9610 · 15500 · 19220 · 24025 · 31000 · 38440 · 48050 · 96100 · 120125 · 192200 · 240250 · 480500 (half) · 961000

Aliquot sum (sum of proper divisors): 1,362,620

Factor pairs (a × b = 961,000)

1 × 961000

2 × 480500

4 × 240250

5 × 192200

8 × 120125

10 × 96100

20 × 48050

25 × 38440

31 × 31000

40 × 24025

50 × 19220

62 × 15500

100 × 9610

124 × 7750

125 × 7688

155 × 6200

200 × 4805

248 × 3875

250 × 3844

310 × 3100

500 × 1922

620 × 1550

775 × 1240

961 × 1000

First multiples

961,000 · 1,922,000 (double) · 2,883,000 · 3,844,000 · 4,805,000 · 5,766,000 · 6,727,000 · 7,688,000 · 8,649,000 · 9,610,000

Sums & aliquot sequence

As a sum of two squares: 310² + 930² = 558² + 806²

As consecutive integers: 192,198 + 192,199 + 192,200 + 192,201 + 192,202 60,055 + 60,056 + … + 60,070 38,428 + 38,429 + … + 38,452 30,985 + 30,986 + … + 31,015

Aliquot sequence: 961,000 → 1,362,620 → 1,908,004 → 1,958,684 → 2,260,804 → 2,609,404 → 2,739,044 → 3,237,724 → 3,353,756 → 3,598,420 → 5,038,124 → 5,814,004 → 5,814,060 → 13,109,460 → 33,008,556 → 57,931,524 → 124,563,096 — unresolved within range

Continued fraction of √n

√961,000 = [980; (3, 3, 1, 2, 1, 7, 1, 46, 1, 14, 4, 1, 1, 3, 1, 6, 5, 12, 2, 1, 2, 12, 5, 6, …)]

Period length 40 — the block in parentheses repeats forever.

Representations

In words: nine hundred sixty-one thousand
Ordinal: 961000th
Binary: 11101010100111101000
Octal: 3524750
Hexadecimal: 0xEA9E8
Base64: Dqno
One's complement: 4,294,006,295 (32-bit)
Scientific notation: 9.61 × 10⁵
As a duration: 961,000 s = 11 days, 2 hours, 56 minutes, 40 seconds

In other bases

ternary (3) 1210211020121

quaternary (4) 3222213220

quinary (5) 221223000

senary (6) 32333024

septenary (7) 11111515

nonary (9) 1724217

undecimal (11) 5a7017

duodecimal (12) 3a4174

tridecimal (13) 278551

tetradecimal (14) 1b030c

pentadecimal (15) 13eb1a

As an angle

961,000° = 2,669 × 360° + 160°

160° ≈ 2.793 rad

Compass bearing: SSE (south-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓆼
Greek (Milesian): ͵ϡξα
Chinese: 九十六萬一千
Chinese (financial): 玖拾陸萬壹仟

In other modern scripts

Eastern Arabic ٩٦١٠٠٠ Devanagari ९६१००० Bengali ৯৬১০০০ Tamil ௯௬௧௦௦௦ Thai ๙๖๑๐๐๐ Tibetan ༩༦༡༠༠༠ Khmer ៩៦១០០០ Lao ໙໖໑໐໐໐ Burmese ၉၆၁၀၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 961000, here are decompositions:

11 + 960989 = 961000
17 + 960983 = 961000
23 + 960977 = 961000
59 + 960941 = 961000
137 + 960863 = 961000
167 + 960833 = 961000
191 + 960809 = 961000
197 + 960803 = 961000

Showing the first eight; more decompositions exist.

Hex color

#0EA9E8

RGB(14, 169, 232)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.14.169.232.

Address: 0.14.169.232
Class: reserved
IPv4-mapped IPv6: ::ffff:0.14.169.232

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 961,000 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 US961,000 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 961000 first appears in π at position 741,177 of the decimal expansion (the 741,177ordinal-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 961000 on Pi Search ↗