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948,272

948,272 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.).

948,272 (nine hundred forty-eight thousand two hundred seventy-two) is an even 6-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 13 × 47 × 97. Its proper divisors sum to 1,093,264, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xE7830.

Abundant Number Odious Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
32
Digit product
8,064
Digital root
5
Palindrome
No
Bit width
20 bits
Reversed
272,849
Square (n²)
899,219,785,984
Cube (n³)
852,704,944,894,619,648
Divisor count
40
σ(n) — sum of divisors
2,041,536
φ(n) — Euler's totient
423,936
Sum of prime factors
165

Primality

Prime factorization: 2 4 × 13 × 47 × 97

Nearest primes: 948,263 (−9) · 948,281 (+9)

Divisors & multiples

All divisors (40)
1 · 2 · 4 · 8 · 13 · 16 · 26 · 47 · 52 · 94 · 97 · 104 · 188 · 194 · 208 · 376 · 388 · 611 · 752 · 776 · 1222 · 1261 · 1552 · 2444 · 2522 · 4559 · 4888 · 5044 · 9118 · 9776 · 10088 · 18236 · 20176 · 36472 · 59267 · 72944 · 118534 · 237068 · 474136 (half) · 948272
Aliquot sum (sum of proper divisors): 1,093,264
Factor pairs (a × b = 948,272)
1 × 948272
2 × 474136
4 × 237068
8 × 118534
13 × 72944
16 × 59267
26 × 36472
47 × 20176
52 × 18236
94 × 10088
97 × 9776
104 × 9118
188 × 5044
194 × 4888
208 × 4559
376 × 2522
388 × 2444
611 × 1552
752 × 1261
776 × 1222
First multiples
948,272 · 1,896,544 (double) · 2,844,816 · 3,793,088 · 4,741,360 · 5,689,632 · 6,637,904 · 7,586,176 · 8,534,448 · 9,482,720

Sums & aliquot sequence

As consecutive integers: 72,938 + 72,939 + … + 72,950 29,618 + 29,619 + … + 29,649 20,153 + 20,154 + … + 20,199 9,728 + 9,729 + … + 9,824
Aliquot sequence: 948,272 1,093,264 1,024,966 535,634 353,422 176,714 90,586 45,296 47,704 44,096 51,916 38,944 37,790 30,250 31,994 18,874 9,440 — unresolved within range

Continued fraction of √n

√948,272 = [973; (1, 3, 1, 4, 1, 1, 2, 7, 1, 1, 2, 3, 2, 1, 10, 1, 1, 1, 2, 8, 1, 4, 3, 1, …)]

Period length 52 — the block in parentheses repeats forever.

Representations

In words
nine hundred forty-eight thousand two hundred seventy-two
Ordinal
948272nd
Binary
11100111100000110000
Octal
3474060
Hexadecimal
0xE7830
Base64
Dngw
One's complement
4,294,019,023 (32-bit)
Scientific notation
9.48272 × 10⁵
As a duration
948,272 s = 10 days, 23 hours, 24 minutes, 32 seconds
In other bases
ternary (3) 1210011210012
quaternary (4) 3213200300
quinary (5) 220321042
senary (6) 32154052
septenary (7) 11026433
nonary (9) 1704705
undecimal (11) 5984a6
duodecimal (12) 398928
tridecimal (13) 272810
tetradecimal (14) 1a981a
pentadecimal (15) 13ae82

As an angle

948,272° = 2,634 × 360° + 32°
32° ≈ 0.559 rad
Compass bearing: NNE (north-northeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ϡμησοβʹ
Chinese
九十四萬八千二百七十二
Chinese (financial)
玖拾肆萬捌仟貳佰柒拾貳
In other modern scripts
Eastern Arabic ٩٤٨٢٧٢ Devanagari ९४८२७२ Bengali ৯৪৮২৭২ Tamil ௯௪௮௨௭௨ Thai ๙๔๘๒๗๒ Tibetan ༩༤༨༢༧༢ Khmer ៩៤៨២៧២ Lao ໙໔໘໒໗໒ Burmese ၉၄၈၂၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 948272, here are decompositions:

  • 19 + 948253 = 948272
  • 103 + 948169 = 948272
  • 139 + 948133 = 948272
  • 181 + 948091 = 948272
  • 211 + 948061 = 948272
  • 223 + 948049 = 948272
  • 313 + 947959 = 948272
  • 379 + 947893 = 948272

Showing the first eight; more decompositions exist.

Hex color
#0E7830
RGB(14, 120, 48)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.14.120.48.

Address
0.14.120.48
Class
reserved
IPv4-mapped IPv6
::ffff:0.14.120.48

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 948,272 and was likely granted around 1909.

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

Position in π

The digit sequence 948272 first appears in π at position 744,947 of the decimal expansion (the 744,947ordinal-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.

Related reading

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.