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104,760

104,760 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.).

104,760 (one hundred four thousand seven hundred sixty) is an even 6-digit number. It is a composite number with 64 divisors, and factors as 2³ × 3³ × 5 × 97. Its proper divisors sum to 248,040, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x19938.

Abundant Number Evil Number Gapful Number Harshad / Niven Practical Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
18
Digit product
0
Digital root
9
Palindrome
No
Bit width
17 bits
Reversed
67,401
Recamán's sequence
a(91,671) = 104,760
Square (n²)
10,974,657,600
Cube (n³)
1,149,705,130,176,000
Divisor count
64
σ(n) — sum of divisors
352,800
φ(n) — Euler's totient
27,648
Sum of prime factors
117

Primality

Prime factorization: 2 3 × 3 3 × 5 × 97

Nearest primes: 104,759 (−1) · 104,761 (+1)

Divisors & multiples

All divisors (64)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 9 · 10 · 12 · 15 · 18 · 20 · 24 · 27 · 30 · 36 · 40 · 45 · 54 · 60 · 72 · 90 · 97 · 108 · 120 · 135 · 180 · 194 · 216 · 270 · 291 · 360 · 388 · 485 · 540 · 582 · 776 · 873 · 970 · 1080 · 1164 · 1455 · 1746 · 1940 · 2328 · 2619 · 2910 · 3492 · 3880 · 4365 · 5238 · 5820 · 6984 · 8730 · 10476 · 11640 · 13095 · 17460 · 20952 · 26190 · 34920 · 52380 (half) · 104760
Aliquot sum (sum of proper divisors): 248,040
Factor pairs (a × b = 104,760)
1 × 104760
2 × 52380
3 × 34920
4 × 26190
5 × 20952
6 × 17460
8 × 13095
9 × 11640
10 × 10476
12 × 8730
15 × 6984
18 × 5820
20 × 5238
24 × 4365
27 × 3880
30 × 3492
36 × 2910
40 × 2619
45 × 2328
54 × 1940
60 × 1746
72 × 1455
90 × 1164
97 × 1080
108 × 970
120 × 873
135 × 776
180 × 582
194 × 540
216 × 485
270 × 388
291 × 360
First multiples
104,760 · 209,520 (double) · 314,280 · 419,040 · 523,800 · 628,560 · 733,320 · 838,080 · 942,840 · 1,047,600

Sums & aliquot sequence

As consecutive integers: 34,919 + 34,920 + 34,921 20,950 + 20,951 + 20,952 + 20,953 + 20,954 11,636 + 11,637 + … + 11,644 6,977 + 6,978 + … + 6,991
Aliquot sequence: 104,760 248,040 636,480 1,859,832 3,567,408 6,359,040 17,228,160 43,849,440 110,017,728 206,776,152 425,061,648 905,954,352 1,570,851,408 3,445,901,904 6,010,493,840 9,188,127,136 8,900,998,226 — unresolved within range

Continued fraction of √n

√104,760 = [323; (1, 1, 1, 646)]

Period length 4 — the block in parentheses repeats forever.

Representations

In words
one hundred four thousand seven hundred sixty
Ordinal
104760th
Binary
11001100100111000
Octal
314470
Hexadecimal
0x19938
Base64
AZk4
One's complement
4,294,862,535 (32-bit)
Scientific notation
1.0476 × 10⁵
As a duration
104,760 s = 1 day, 5 hours, 6 minutes
In other bases
ternary (3) 12022201000
quaternary (4) 121210320
quinary (5) 11323020
senary (6) 2125000
septenary (7) 614265
nonary (9) 168630
undecimal (11) 71787
duodecimal (12) 50760
tridecimal (13) 388b6
tetradecimal (14) 2a26c
pentadecimal (15) 21090

As an angle

104,760° = 291 × 360°
0° ≈ 0 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓆐𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρδψξʹ
Mayan (base 20)
𝋭·𝋡·𝋲·𝋠
Chinese
一十萬四千七百六十
Chinese (financial)
壹拾萬肆仟柒佰陸拾
In other modern scripts
Eastern Arabic ١٠٤٧٦٠ Devanagari १०४७६० Bengali ১০৪৭৬০ Tamil ௧௦௪௭௬௦ Thai ๑๐๔๗๖๐ Tibetan ༡༠༤༧༦༠ Khmer ១០៤៧៦០ Lao ໑໐໔໗໖໐ Burmese ၁၀၄၇၆၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 104760, here are decompositions:

  • 17 + 104743 = 104760
  • 31 + 104729 = 104760
  • 37 + 104723 = 104760
  • 43 + 104717 = 104760
  • 53 + 104707 = 104760
  • 59 + 104701 = 104760
  • 67 + 104693 = 104760
  • 79 + 104681 = 104760

Showing the first eight; more decompositions exist.

Hex color
#019938
RGB(1, 153, 56)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.153.56.

Address
0.1.153.56
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.153.56

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 104,760 and was likely granted around 1870.

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

Related reading

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