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104,742

104,742 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.).

104,742 (one hundred four thousand seven hundred forty-two) is an even 6-digit number. It is a composite number with 36 divisors, and factors as 2 × 3² × 11 × 23². Its proper divisors sum to 154,062, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x19926.

Abundant Number Arithmetic Number Cube-Free Evil Number Happy 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
247,401
Recamán's sequence
a(91,707) = 104,742
Square (n²)
10,970,886,564
Cube (n³)
1,149,112,600,486,488
Divisor count
36
σ(n) — sum of divisors
258,804
φ(n) — Euler's totient
30,360
Sum of prime factors
65

Primality

Prime factorization: 2 × 3 2 × 11 × 23 2

Nearest primes: 104,729 (−13) · 104,743 (+1)

Divisors & multiples

All divisors (36)
1 · 2 · 3 · 6 · 9 · 11 · 18 · 22 · 23 · 33 · 46 · 66 · 69 · 99 · 138 · 198 · 207 · 253 · 414 · 506 · 529 · 759 · 1058 · 1518 · 1587 · 2277 · 3174 · 4554 · 4761 · 5819 · 9522 · 11638 · 17457 · 34914 · 52371 (half) · 104742
Aliquot sum (sum of proper divisors): 154,062
Factor pairs (a × b = 104,742)
1 × 104742
2 × 52371
3 × 34914
6 × 17457
9 × 11638
11 × 9522
18 × 5819
22 × 4761
23 × 4554
33 × 3174
46 × 2277
66 × 1587
69 × 1518
99 × 1058
138 × 759
198 × 529
207 × 506
253 × 414
First multiples
104,742 · 209,484 (double) · 314,226 · 418,968 · 523,710 · 628,452 · 733,194 · 837,936 · 942,678 · 1,047,420

Sums & aliquot sequence

As consecutive integers: 34,913 + 34,914 + 34,915 26,184 + 26,185 + 26,186 + 26,187 11,634 + 11,635 + … + 11,642 9,517 + 9,518 + … + 9,527
Aliquot sequence: 104,742 154,062 193,194 225,432 411,048 841,752 1,527,888 2,464,912 2,310,886 1,197,458 598,732 491,896 430,424 383,896 351,944 366,256 408,248 — unresolved within range

Continued fraction of √n

√104,742 = [323; (1, 1, 1, 3, 3, 3, 1, 1, 9, 1, 2, 2, 3, 7, 1, 2, 3, 12, 1, 10, 4, 3, 1, 23, …)]

Representations

In words
one hundred four thousand seven hundred forty-two
Ordinal
104742nd
Binary
11001100100100110
Octal
314446
Hexadecimal
0x19926
Base64
AZkm
One's complement
4,294,862,553 (32-bit)
Scientific notation
1.04742 × 10⁵
As a duration
104,742 s = 1 day, 5 hours, 5 minutes, 42 seconds
In other bases
ternary (3) 12022200100
quaternary (4) 121210212
quinary (5) 11322432
senary (6) 2124530
septenary (7) 614241
nonary (9) 168610
undecimal (11) 71770
duodecimal (12) 50746
tridecimal (13) 388a1
tetradecimal (14) 2a258
pentadecimal (15) 2107c

As an angle

104,742° = 290 × 360° + 342°
342° ≈ 5.969 rad
Compass bearing: NNW (north-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρδψμβʹ
Mayan (base 20)
𝋭·𝋡·𝋱·𝋢
Chinese
一十萬四千七百四十二
Chinese (financial)
壹拾萬肆仟柒佰肆拾貳
In other modern scripts
Eastern Arabic ١٠٤٧٤٢ Devanagari १०४७४२ Bengali ১০৪৭৪২ Tamil ௧௦௪௭௪௨ Thai ๑๐๔๗๔๒ Tibetan ༡༠༤༧༤༢ Khmer ១០៤៧៤២ Lao ໑໐໔໗໔໒ Burmese ၁၀၄၇၄၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 104742, here are decompositions:

  • 13 + 104729 = 104742
  • 19 + 104723 = 104742
  • 31 + 104711 = 104742
  • 41 + 104701 = 104742
  • 59 + 104683 = 104742
  • 61 + 104681 = 104742
  • 83 + 104659 = 104742
  • 103 + 104639 = 104742

Showing the first eight; more decompositions exist.

Hex color
#019926
RGB(1, 153, 38)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.153.38.

Address
0.1.153.38
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.153.38

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 104,742 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°.