Live analysis

948,000

948,000 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.).

948,000 (nine hundred forty-eight thousand) is an even 6-digit number. It is a composite number with 96 divisors, and factors as 2⁵ × 3 × 5³ × 79. Its proper divisors sum to 2,196,960, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xE7720.

Abundant Number Arithmetic Number Evil Number Practical Number Refactorable Number Weird Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

947,988 947,989 947,990 947,991 947,992 947,993 947,994 947,995 947,996 947,997 947,998 947,999 948,000 948,001 948,002 948,003 948,004 948,005 948,006 948,007 948,008 948,009 948,010 948,011 948,012

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 21
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 20 bits
Reversed: 849
Square (n²): 898,704,000,000
Cube (n³): 851,971,392,000,000,000
Divisor count: 96
σ(n) — sum of divisors: 3,144,960
φ(n) — Euler's totient: 249,600
Sum of prime factors: 107

Primality

Prime factorization: 2 ⁵ × 3 × 5 ³ × 79

Nearest primes: 947,987 (−13) · 948,007 (+7)

Divisors & multiples

All divisors (96)

1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 15 · 16 · 20 · 24 · 25 · 30 · 32 · 40 · 48 · 50 · 60 · 75 · 79 · 80 · 96 · 100 · 120 · 125 · 150 · 158 · 160 · 200 · 237 · 240 · 250 · 300 · 316 · 375 · 395 · 400 · 474 · 480 · 500 · 600 · 632 · 750 · 790 · 800 · 948 · 1000 · 1185 · 1200 · 1264 · 1500 · 1580 · 1896 · 1975 · 2000 · 2370 · 2400 · 2528 · 3000 · 3160 · 3792 · 3950 · 4000 · 4740 · 5925 · 6000 · 6320 · 7584 · 7900 · 9480 · 9875 · 11850 · 12000 · 12640 · 15800 · 18960 · 19750 · 23700 · 29625 · 31600 · 37920 · 39500 · 47400 · 59250 · 63200 · 79000 · 94800 · 118500 · 158000 · 189600 · 237000 · 316000 · 474000 (half) · 948000

Aliquot sum (sum of proper divisors): 2,196,960

Factor pairs (a × b = 948,000)

1 × 948000

2 × 474000

3 × 316000

4 × 237000

5 × 189600

6 × 158000

8 × 118500

10 × 94800

12 × 79000

15 × 63200

16 × 59250

20 × 47400

24 × 39500

25 × 37920

30 × 31600

32 × 29625

40 × 23700

48 × 19750

50 × 18960

60 × 15800

75 × 12640

79 × 12000

80 × 11850

96 × 9875

100 × 9480

120 × 7900

125 × 7584

150 × 6320

158 × 6000

160 × 5925

200 × 4740

237 × 4000

240 × 3950

250 × 3792

300 × 3160

316 × 3000

375 × 2528

395 × 2400

400 × 2370

474 × 2000

480 × 1975

500 × 1896

600 × 1580

632 × 1500

750 × 1264

790 × 1200

800 × 1185

948 × 1000

First multiples

948,000 · 1,896,000 (double) · 2,844,000 · 3,792,000 · 4,740,000 · 5,688,000 · 6,636,000 · 7,584,000 · 8,532,000 · 9,480,000

Sums & aliquot sequence

As consecutive integers: 315,999 + 316,000 + 316,001 189,598 + 189,599 + 189,600 + 189,601 + 189,602 63,193 + 63,194 + … + 63,207 37,908 + 37,909 + … + 37,932

Aliquot sequence: 948,000 → 2,196,960 → 5,060,640 → 12,127,776 → 22,245,024 → 36,148,416 → 59,494,776 → 117,625,224 → 176,437,896 → 264,656,904 → 396,985,416 → 596,204,184 → 894,306,336 → 2,049,376,224 → 4,098,754,464 → 8,235,327,072 → 17,267,685,792 — keeps growing

Continued fraction of √n

√948,000 = [973; (1, 1, 1, 7, 2, 2, 2, 1, 1, 3, 2, 3, 2, 19, 27, 2, 1, 1, 1, 39, 8, 1, 2, 77, …)]

Representations

In words: nine hundred forty-eight thousand
Ordinal: 948000th
Binary: 11100111011100100000
Octal: 3473440
Hexadecimal: 0xE7720
Base64: Dncg
One's complement: 4,294,019,295 (32-bit)
Scientific notation: 9.48 × 10⁵
As a duration: 948,000 s = 10 days, 23 hours, 20 minutes

In other bases

ternary (3) 1210011102010

quaternary (4) 3213130200

quinary (5) 220314000

senary (6) 32152520

septenary (7) 11025564

nonary (9) 1704363

undecimal (11) 598279

duodecimal (12) 398740

tridecimal (13) 272661

tetradecimal (14) 1a96a4

pentadecimal (15) 13ad50

As an angle

948,000° = 2,633 × 360° + 120°

120° ≈ 2.094 rad

Compass bearing: ESE (east-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹 𒌋𒌋 ·
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼
Greek (Milesian): ͵ϡμη
Chinese: 九十四萬八千
Chinese (financial): 玖拾肆萬捌仟

In other modern scripts

Eastern Arabic ٩٤٨٠٠٠ Devanagari ९४८००० Bengali ৯৪৮০০০ Tamil ௯௪௮௦௦௦ Thai ๙๔๘๐๐๐ Tibetan ༩༤༨༠༠༠ Khmer ៩៤៨០០០ Lao ໙໔໘໐໐໐ Burmese ၉၄၈၀၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 948000, here are decompositions:

13 + 947987 = 948000
37 + 947963 = 948000
41 + 947959 = 948000
73 + 947927 = 948000
83 + 947917 = 948000
89 + 947911 = 948000
107 + 947893 = 948000
127 + 947873 = 948000

Showing the first eight; more decompositions exist.

Hex color

#0E7720

RGB(14, 119, 32)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.14.119.32.

Address: 0.14.119.32
Class: reserved
IPv4-mapped IPv6: ::ffff:0.14.119.32

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 948,000 and was likely granted around 1909.

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

Look up US948,000 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 948000 first appears in π at position 22,756 of the decimal expansion (the 22,756ordinal-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 948000 on Pi Search ↗