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948,672

948,672 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.).

948,672 (nine hundred forty-eight thousand six hundred seventy-two) is an even 6-digit number. It is a composite number with 84 divisors, and factors as 2⁶ × 3⁵ × 61. Its proper divisors sum to 1,917,464, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xE79C0.

Abundant Number Evil Number Harshad / Niven Practical Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
36
Digit product
24,192
Digital root
9
Palindrome
No
Bit width
20 bits
Reversed
276,849
Square (n²)
899,978,563,584
Cube (n³)
853,784,463,872,360,448
Divisor count
84
σ(n) — sum of divisors
2,866,136
φ(n) — Euler's totient
311,040
Sum of prime factors
88

Primality

Prime factorization: 2 6 × 3 5 × 61

Nearest primes: 948,671 (−1) · 948,707 (+35)

Divisors & multiples

All divisors (84)
1 · 2 · 3 · 4 · 6 · 8 · 9 · 12 · 16 · 18 · 24 · 27 · 32 · 36 · 48 · 54 · 61 · 64 · 72 · 81 · 96 · 108 · 122 · 144 · 162 · 183 · 192 · 216 · 243 · 244 · 288 · 324 · 366 · 432 · 486 · 488 · 549 · 576 · 648 · 732 · 864 · 972 · 976 · 1098 · 1296 · 1464 · 1647 · 1728 · 1944 · 1952 · 2196 · 2592 · 2928 · 3294 · 3888 · 3904 · 4392 · 4941 · 5184 · 5856 · 6588 · 7776 · 8784 · 9882 · 11712 · 13176 · 14823 · 15552 · 17568 · 19764 · 26352 · 29646 · 35136 · 39528 · 52704 · 59292 · 79056 · 105408 · 118584 · 158112 · 237168 · 316224 · 474336 (half) · 948672
Aliquot sum (sum of proper divisors): 1,917,464
Factor pairs (a × b = 948,672)
1 × 948672
2 × 474336
3 × 316224
4 × 237168
6 × 158112
8 × 118584
9 × 105408
12 × 79056
16 × 59292
18 × 52704
24 × 39528
27 × 35136
32 × 29646
36 × 26352
48 × 19764
54 × 17568
61 × 15552
64 × 14823
72 × 13176
81 × 11712
96 × 9882
108 × 8784
122 × 7776
144 × 6588
162 × 5856
183 × 5184
192 × 4941
216 × 4392
243 × 3904
244 × 3888
288 × 3294
324 × 2928
366 × 2592
432 × 2196
486 × 1952
488 × 1944
549 × 1728
576 × 1647
648 × 1464
732 × 1296
864 × 1098
972 × 976
First multiples
948,672 · 1,897,344 (double) · 2,846,016 · 3,794,688 · 4,743,360 · 5,692,032 · 6,640,704 · 7,589,376 · 8,538,048 · 9,486,720

Sums & aliquot sequence

As consecutive integers: 316,223 + 316,224 + 316,225 105,404 + 105,405 + … + 105,412 35,123 + 35,124 + … + 35,149 15,522 + 15,523 + … + 15,582
Aliquot sequence: 948,672 1,917,464 2,061,256 1,803,614 1,019,506 547,178 279,994 222,746 111,376 104,446 52,226 26,116 19,594 10,394 5,200 8,254 4,130 — unresolved within range

Continued fraction of √n

√948,672 = [973; (1, 485, 1, 1946)]

Period length 4 — the block in parentheses repeats forever.

Representations

In words
nine hundred forty-eight thousand six hundred seventy-two
Ordinal
948672nd
Binary
11100111100111000000
Octal
3474700
Hexadecimal
0xE79C0
Base64
DnnA
One's complement
4,294,018,623 (32-bit)
Scientific notation
9.48672 × 10⁵
As a duration
948,672 s = 10 days, 23 hours, 31 minutes, 12 seconds
In other bases
ternary (3) 1210012100000
quaternary (4) 3213213000
quinary (5) 220324142
senary (6) 32200000
septenary (7) 11030544
nonary (9) 1705300
undecimal (11) 59882a
duodecimal (12) 399000
tridecimal (13) 272a5a
tetradecimal (14) 1a9a24
pentadecimal (15) 13b14c

As an angle

948,672° = 2,635 × 360° + 72°
72° ≈ 1.257 rad
Compass bearing: ENE (east-northeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ϡμηχοβʹ
Chinese
九十四萬八千六百七十二
Chinese (financial)
玖拾肆萬捌仟陸佰柒拾貳
In other modern scripts
Eastern Arabic ٩٤٨٦٧٢ Devanagari ९४८६७२ Bengali ৯৪৮৬৭২ Tamil ௯௪௮௬௭௨ Thai ๙๔๘๖๗๒ Tibetan ༩༤༨༦༧༢ Khmer ៩៤៨៦៧២ Lao ໙໔໘໖໗໒ Burmese ၉၄၈၆၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 948672, here are decompositions:

  • 13 + 948659 = 948672
  • 79 + 948593 = 948672
  • 139 + 948533 = 948672
  • 223 + 948449 = 948672
  • 229 + 948443 = 948672
  • 233 + 948439 = 948672
  • 269 + 948403 = 948672
  • 271 + 948401 = 948672

Showing the first eight; more decompositions exist.

Hex color
#0E79C0
RGB(14, 121, 192)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.14.121.192.

Address
0.14.121.192
Class
reserved
IPv4-mapped IPv6
::ffff:0.14.121.192

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 948,672 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 948672 first appears in π at position 31,446 of the decimal expansion (the 31,446ordinal-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°.