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938,080

938,080 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.).

938,080 (nine hundred thirty-eight thousand eighty) is an even 6-digit number. It is a composite number with 96 divisors, and factors as 2⁵ × 5 × 11 × 13 × 41. Its proper divisors sum to 1,729,088, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xE5060.

Abundant Number Arithmetic Number Odious Number Pernicious Number Practical Number Recamán's Sequence Weird Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
28
Digit product
0
Digital root
1
Palindrome
No
Bit width
20 bits
Reversed
80,839
Recamán's sequence
a(294,987) = 938,080
Square (n²)
879,994,086,400
Cube (n³)
825,504,852,570,112,000
Divisor count
96
σ(n) — sum of divisors
2,667,168
φ(n) — Euler's totient
307,200
Sum of prime factors
80

Primality

Prime factorization: 2 5 × 5 × 11 × 13 × 41

Nearest primes: 938,071 (−9) · 938,083 (+3)

Divisors & multiples

All divisors (96)
1 · 2 · 4 · 5 · 8 · 10 · 11 · 13 · 16 · 20 · 22 · 26 · 32 · 40 · 41 · 44 · 52 · 55 · 65 · 80 · 82 · 88 · 104 · 110 · 130 · 143 · 160 · 164 · 176 · 205 · 208 · 220 · 260 · 286 · 328 · 352 · 410 · 416 · 440 · 451 · 520 · 533 · 572 · 656 · 715 · 820 · 880 · 902 · 1040 · 1066 · 1144 · 1312 · 1430 · 1640 · 1760 · 1804 · 2080 · 2132 · 2255 · 2288 · 2665 · 2860 · 3280 · 3608 · 4264 · 4510 · 4576 · 5330 · 5720 · 5863 · 6560 · 7216 · 8528 · 9020 · 10660 · 11440 · 11726 · 14432 · 17056 · 18040 · 21320 · 22880 · 23452 · 29315 · 36080 · 42640 · 46904 · 58630 · 72160 · 85280 · 93808 · 117260 · 187616 · 234520 · 469040 (half) · 938080
Aliquot sum (sum of proper divisors): 1,729,088
Factor pairs (a × b = 938,080)
1 × 938080
2 × 469040
4 × 234520
5 × 187616
8 × 117260
10 × 93808
11 × 85280
13 × 72160
16 × 58630
20 × 46904
22 × 42640
26 × 36080
32 × 29315
40 × 23452
41 × 22880
44 × 21320
52 × 18040
55 × 17056
65 × 14432
80 × 11726
82 × 11440
88 × 10660
104 × 9020
110 × 8528
130 × 7216
143 × 6560
160 × 5863
164 × 5720
176 × 5330
205 × 4576
208 × 4510
220 × 4264
260 × 3608
286 × 3280
328 × 2860
352 × 2665
410 × 2288
416 × 2255
440 × 2132
451 × 2080
520 × 1804
533 × 1760
572 × 1640
656 × 1430
715 × 1312
820 × 1144
880 × 1066
902 × 1040
First multiples
938,080 · 1,876,160 (double) · 2,814,240 · 3,752,320 · 4,690,400 · 5,628,480 · 6,566,560 · 7,504,640 · 8,442,720 · 9,380,800

Sums & aliquot sequence

As consecutive integers: 187,614 + 187,615 + 187,616 + 187,617 + 187,618 85,275 + 85,276 + … + 85,285 72,154 + 72,155 + … + 72,166 22,860 + 22,861 + … + 22,900
Aliquot sequence: 938,080 → 1,729,088 → 1,702,198 → 910,610 → 769,222 → 384,614 → 192,310 → 153,866 → 79,414 → 41,906 → 23,758 → 16,994 → 9,466 → 4,736 → 4,954 → 2,480 → 3,472 — unresolved within range

Continued fraction of √n

√938,080 = [968; (1, 1, 5, 53, 1, 1, 1, 2, 12, 23, 1, 5, 49, 1, 1, 214, 1, 2, 1, 1, 1, 483, 1, 1, …)]

Period length 44 — the block in parentheses repeats forever.

Representations

In words
nine hundred thirty-eight thousand eighty
Ordinal
938080th
Binary
11100101000001100000
Octal
3450140
Hexadecimal
0xE5060
Base64
DlBg
One's complement
4,294,029,215 (32-bit)
Scientific notation
9.3808 × 10⁵
As a duration
938,080 s = 10 days, 20 hours, 34 minutes, 40 seconds
In other bases
ternary (3) 1202122210201
quaternary (4) 3211001200
quinary (5) 220004310
senary (6) 32034544
septenary (7) 10654633
nonary (9) 1678721
undecimal (11) 590880
duodecimal (12) 392a54
tridecimal (13) 26aca0
tetradecimal (14) 1a5c1a
pentadecimal (15) 137e3a

As an angle

938,080° = 2,605 × 360° + 280°
280° ≈ 4.887 rad
Compass bearing: W (west)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ϡληπʹ
Chinese
九十三萬八千零八十
Chinese (financial)
玖拾參萬捌仟零捌拾
In other modern scripts
Eastern Arabic ٩٣٨٠٨٠ Devanagari ९३८०८० Bengali ৯৩৮০৮০ Tamil ௯௩௮௦௮௦ Thai ๙๓๘๐๘๐ Tibetan ༩༣༨༠༨༠ Khmer ៩៣៨០៨០ Lao ໙໓໘໐໘໐ Burmese ၉၃၈၀၈၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 938080, here are decompositions:

  • 23 + 938057 = 938080
  • 29 + 938051 = 938080
  • 47 + 938033 = 938080
  • 53 + 938027 = 938080
  • 89 + 937991 = 938080
  • 131 + 937949 = 938080
  • 137 + 937943 = 938080
  • 179 + 937901 = 938080

Showing the first eight; more decompositions exist.

Hex color
#0E5060
RGB(14, 80, 96)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.14.80.96.

Address
0.14.80.96
Class
reserved
IPv4-mapped IPv6
::ffff:0.14.80.96

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 938,080 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 938080 first appears in π at position 755,865 of the decimal expansion (the 755,865ordinal-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°.