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148,304

148,304 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.).

148,304 (one hundred forty-eight thousand three hundred four) is an even 6-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 13 × 23 × 31. Its proper divisors sum to 185,008, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x24350.

Abundant Number Evil Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
20
Digit product
0
Digital root
2
Palindrome
No
Bit width
18 bits
Reversed
403,841
Recamán's sequence
a(211,808) = 148,304
Square (n²)
21,994,076,416
Cube (n³)
3,261,809,508,798,464
Divisor count
40
σ(n) — sum of divisors
333,312
φ(n) — Euler's totient
63,360
Sum of prime factors
75

Primality

Prime factorization: 2 4 × 13 × 23 × 31

Nearest primes: 148,303 (−1) · 148,331 (+27)

Divisors & multiples

All divisors (40)
1 · 2 · 4 · 8 · 13 · 16 · 23 · 26 · 31 · 46 · 52 · 62 · 92 · 104 · 124 · 184 · 208 · 248 · 299 · 368 · 403 · 496 · 598 · 713 · 806 · 1196 · 1426 · 1612 · 2392 · 2852 · 3224 · 4784 · 5704 · 6448 · 9269 · 11408 · 18538 · 37076 · 74152 (half) · 148304
Aliquot sum (sum of proper divisors): 185,008
Factor pairs (a × b = 148,304)
1 × 148304
2 × 74152
4 × 37076
8 × 18538
13 × 11408
16 × 9269
23 × 6448
26 × 5704
31 × 4784
46 × 3224
52 × 2852
62 × 2392
92 × 1612
104 × 1426
124 × 1196
184 × 806
208 × 713
248 × 598
299 × 496
368 × 403
First multiples
148,304 · 296,608 (double) · 444,912 · 593,216 · 741,520 · 889,824 · 1,038,128 · 1,186,432 · 1,334,736 · 1,483,040

Sums & aliquot sequence

As consecutive integers: 11,402 + 11,403 + … + 11,414 6,437 + 6,438 + … + 6,459 4,769 + 4,770 + … + 4,799 4,619 + 4,620 + … + 4,650
Aliquot sequence: 148,304 185,008 186,000 433,008 830,800 1,260,336 2,961,616 3,815,728 5,118,224 5,738,224 6,261,008 7,238,128 7,239,120 19,425,840 51,807,696 90,230,832 202,250,448 — unresolved within range

Continued fraction of √n

√148,304 = [385; (9, 1, 2, 1, 32, 1, 2, 1, 9, 770)]

Period length 10 — the block in parentheses repeats forever.

Representations

In words
one hundred forty-eight thousand three hundred four
Ordinal
148304th
Binary
100100001101010000
Octal
441520
Hexadecimal
0x24350
Base64
AkNQ
One's complement
4,294,818,991 (32-bit)
Scientific notation
1.48304 × 10⁵
As a duration
148,304 s = 1 day, 17 hours, 11 minutes, 44 seconds
In other bases
ternary (3) 21112102202
quaternary (4) 210031100
quinary (5) 14221204
senary (6) 3102332
septenary (7) 1155242
nonary (9) 245382
undecimal (11) a1472
duodecimal (12) 719a8
tridecimal (13) 52670
tetradecimal (14) 3c092
pentadecimal (15) 2de1e

As an angle

148,304° = 411 × 360° + 344°
344° ≈ 6.004 rad
Compass bearing: NNW (north-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒁹 𒌋𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρμητδʹ
Mayan (base 20)
𝋲·𝋪·𝋯·𝋤
Chinese
一十四萬八千三百零四
Chinese (financial)
壹拾肆萬捌仟參佰零肆
In other modern scripts
Eastern Arabic ١٤٨٣٠٤ Devanagari १४८३०४ Bengali ১৪৮৩০৪ Tamil ௧௪௮௩௦௪ Thai ๑๔๘๓๐๔ Tibetan ༡༤༨༣༠༤ Khmer ១៤៨៣០៤ Lao ໑໔໘໓໐໔ Burmese ၁၄၈၃၀၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 148304, here are decompositions:

  • 3 + 148301 = 148304
  • 61 + 148243 = 148304
  • 97 + 148207 = 148304
  • 103 + 148201 = 148304
  • 151 + 148153 = 148304
  • 157 + 148147 = 148304
  • 181 + 148123 = 148304
  • 241 + 148063 = 148304

Showing the first eight; more decompositions exist.

Unicode codepoint
𤍐
CJK Unified Ideograph-24350
U+24350
Other letter (Lo)

UTF-8 encoding: F0 A4 8D 90 (4 bytes).

Hex color
#024350
RGB(2, 67, 80)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.67.80.

Address
0.2.67.80
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.67.80

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 148,304 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 148304 first appears in π at position 343,356 of the decimal expansion (the 343,356ordinal-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

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.