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148,104

148,104 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.).

148,104 (one hundred forty-eight thousand one hundred four) is an even 6-digit number. It is a composite number with 72 divisors, and factors as 2³ × 3² × 11² × 17. Its proper divisors sum to 318,726, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x24288.

Abundant Number Harshad / Niven Odious Number Pernicious Number Practical Number Recamán's Sequence Refactorable Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
18
Digit product
0
Digital root
9
Palindrome
No
Bit width
18 bits
Reversed
401,841
Recamán's sequence
a(212,208) = 148,104
Square (n²)
21,934,794,816
Cube (n³)
3,248,630,851,428,864
Divisor count
72
σ(n) — sum of divisors
466,830
φ(n) — Euler's totient
42,240
Sum of prime factors
51

Primality

Prime factorization: 2 3 × 3 2 × 11 2 × 17

Nearest primes: 148,091 (−13) · 148,123 (+19)

Divisors & multiples

All divisors (72)
1 · 2 · 3 · 4 · 6 · 8 · 9 · 11 · 12 · 17 · 18 · 22 · 24 · 33 · 34 · 36 · 44 · 51 · 66 · 68 · 72 · 88 · 99 · 102 · 121 · 132 · 136 · 153 · 187 · 198 · 204 · 242 · 264 · 306 · 363 · 374 · 396 · 408 · 484 · 561 · 612 · 726 · 748 · 792 · 968 · 1089 · 1122 · 1224 · 1452 · 1496 · 1683 · 2057 · 2178 · 2244 · 2904 · 3366 · 4114 · 4356 · 4488 · 6171 · 6732 · 8228 · 8712 · 12342 · 13464 · 16456 · 18513 · 24684 · 37026 · 49368 · 74052 (half) · 148104
Aliquot sum (sum of proper divisors): 318,726
Factor pairs (a × b = 148,104)
1 × 148104
2 × 74052
3 × 49368
4 × 37026
6 × 24684
8 × 18513
9 × 16456
11 × 13464
12 × 12342
17 × 8712
18 × 8228
22 × 6732
24 × 6171
33 × 4488
34 × 4356
36 × 4114
44 × 3366
51 × 2904
66 × 2244
68 × 2178
72 × 2057
88 × 1683
99 × 1496
102 × 1452
121 × 1224
132 × 1122
136 × 1089
153 × 968
187 × 792
198 × 748
204 × 726
242 × 612
264 × 561
306 × 484
363 × 408
374 × 396
First multiples
148,104 · 296,208 (double) · 444,312 · 592,416 · 740,520 · 888,624 · 1,036,728 · 1,184,832 · 1,332,936 · 1,481,040

Sums & aliquot sequence

As a sum of two squares: 198² + 330²
As consecutive integers: 49,367 + 49,368 + 49,369 16,452 + 16,453 + … + 16,460 13,459 + 13,460 + … + 13,469 9,249 + 9,250 + … + 9,264
Aliquot sequence: 148,104 318,726 371,886 371,898 474,822 593,154 734,718 734,730 1,122,870 1,957,578 2,564,406 3,628,314 4,502,160 12,312,612 21,206,328 43,144,392 65,009,688 — unresolved within range

Continued fraction of √n

√148,104 = [384; (1, 5, 2, 1, 3, 6, 11, 6, 3, 1, 2, 5, 1, 768)]

Period length 14 — the block in parentheses repeats forever.

Representations

In words
one hundred forty-eight thousand one hundred four
Ordinal
148104th
Binary
100100001010001000
Octal
441210
Hexadecimal
0x24288
Base64
AkKI
One's complement
4,294,819,191 (32-bit)
Scientific notation
1.48104 × 10⁵
As a duration
148,104 s = 1 day, 17 hours, 8 minutes, 24 seconds
In other bases
ternary (3) 21112011100
quaternary (4) 210022020
quinary (5) 14214404
senary (6) 3101400
septenary (7) 1154535
nonary (9) 245140
undecimal (11) a1300
duodecimal (12) 71860
tridecimal (13) 52548
tetradecimal (14) 3bd8c
pentadecimal (15) 2dd39

As an angle

148,104° = 411 × 360° + 144°
144° ≈ 2.513 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρμηρδʹ
Mayan (base 20)
𝋲·𝋪·𝋥·𝋤
Chinese
一十四萬八千一百零四
Chinese (financial)
壹拾肆萬捌仟壹佰零肆
In other modern scripts
Eastern Arabic ١٤٨١٠٤ Devanagari १४८१०४ Bengali ১৪৮১০৪ Tamil ௧௪௮௧௦௪ Thai ๑๔๘๑๐๔ Tibetan ༡༤༨༡༠༤ Khmer ១៤៨១០៤ Lao ໑໔໘໑໐໔ Burmese ၁၄၈၁၀၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 148104, here are decompositions:

  • 13 + 148091 = 148104
  • 31 + 148073 = 148104
  • 41 + 148063 = 148104
  • 43 + 148061 = 148104
  • 83 + 148021 = 148104
  • 107 + 147997 = 148104
  • 127 + 147977 = 148104
  • 167 + 147937 = 148104

Showing the first eight; more decompositions exist.

Unicode codepoint
𤊈
CJK Unified Ideograph-24288
U+24288
Other letter (Lo)

UTF-8 encoding: F0 A4 8A 88 (4 bytes).

Hex color
#024288
RGB(2, 66, 136)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.66.136.

Address
0.2.66.136
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.66.136

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 148,104 and was likely granted around 1873.

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

Position in π

The digit sequence 148104 first appears in π at position 691,362 of the decimal expansion (the 691,362ordinal-suffix:nd 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°.