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146,484

146,484 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.).

146,484 (one hundred forty-six thousand four hundred eighty-four) is an even 6-digit number. It is a composite number with 36 divisors, and factors as 2² × 3² × 13 × 313. Its proper divisors sum to 253,552, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x23C34.

Abundant Number Cube-Free Evil Number Practical Number Recamán's Sequence Refactorable Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
27
Digit product
3,072
Digital root
9
Palindrome
No
Bit width
18 bits
Reversed
484,641
Recamán's sequence
a(215,448) = 146,484
Square (n²)
21,457,562,256
Cube (n³)
3,143,189,549,507,904
Divisor count
36
σ(n) — sum of divisors
400,036
φ(n) — Euler's totient
44,928
Sum of prime factors
336

Primality

Prime factorization: 2 2 × 3 2 × 13 × 313

Nearest primes: 146,477 (−7) · 146,513 (+29)

Divisors & multiples

All divisors (36)
1 · 2 · 3 · 4 · 6 · 9 · 12 · 13 · 18 · 26 · 36 · 39 · 52 · 78 · 117 · 156 · 234 · 313 · 468 · 626 · 939 · 1252 · 1878 · 2817 · 3756 · 4069 · 5634 · 8138 · 11268 · 12207 · 16276 · 24414 · 36621 · 48828 · 73242 (half) · 146484
Aliquot sum (sum of proper divisors): 253,552
Factor pairs (a × b = 146,484)
1 × 146484
2 × 73242
3 × 48828
4 × 36621
6 × 24414
9 × 16276
12 × 12207
13 × 11268
18 × 8138
26 × 5634
36 × 4069
39 × 3756
52 × 2817
78 × 1878
117 × 1252
156 × 939
234 × 626
313 × 468
First multiples
146,484 · 292,968 (double) · 439,452 · 585,936 · 732,420 · 878,904 · 1,025,388 · 1,171,872 · 1,318,356 · 1,464,840

Sums & aliquot sequence

As a sum of two squares: 60² + 378² = 90² + 372²
As consecutive integers: 48,827 + 48,828 + 48,829 18,307 + 18,308 + … + 18,314 16,272 + 16,273 + … + 16,280 11,262 + 11,263 + … + 11,274
Aliquot sequence: 146,484 253,552 308,912 304,888 291,992 323,608 315,392 470,944 456,290 374,878 267,794 136,234 104,534 52,270 41,834 25,786 12,896 — unresolved within range

Continued fraction of √n

√146,484 = [382; (1, 2, 1, 2, 1, 3, 2, 58, 2, 3, 1, 2, 1, 2, 1, 764)]

Period length 16 — the block in parentheses repeats forever.

Representations

In words
one hundred forty-six thousand four hundred eighty-four
Ordinal
146484th
Binary
100011110000110100
Octal
436064
Hexadecimal
0x23C34
Base64
Ajw0
One's complement
4,294,820,811 (32-bit)
Scientific notation
1.46484 × 10⁵
As a duration
146,484 s = 1 day, 16 hours, 41 minutes, 24 seconds
In other bases
ternary (3) 21102221100
quaternary (4) 203300310
quinary (5) 14141414
senary (6) 3050100
septenary (7) 1150032
nonary (9) 242840
undecimal (11) a0068
duodecimal (12) 70930
tridecimal (13) 518a0
tetradecimal (14) 3b552
pentadecimal (15) 2d609

As an angle

146,484° = 406 × 360° + 324°
324° ≈ 5.655 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρμϛυπδʹ
Mayan (base 20)
𝋲·𝋦·𝋤·𝋤
Chinese
一十四萬六千四百八十四
Chinese (financial)
壹拾肆萬陸仟肆佰捌拾肆
In other modern scripts
Eastern Arabic ١٤٦٤٨٤ Devanagari १४६४८४ Bengali ১৪৬৪৮৪ Tamil ௧௪௬௪௮௪ Thai ๑๔๖๔๘๔ Tibetan ༡༤༦༤༨༤ Khmer ១៤៦៤៨៤ Lao ໑໔໖໔໘໔ Burmese ၁၄၆၄၈၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 146484, here are decompositions:

  • 7 + 146477 = 146484
  • 47 + 146437 = 146484
  • 61 + 146423 = 146484
  • 67 + 146417 = 146484
  • 101 + 146383 = 146484
  • 103 + 146381 = 146484
  • 137 + 146347 = 146484
  • 167 + 146317 = 146484

Showing the first eight; more decompositions exist.

Unicode codepoint
𣰴
CJK Unified Ideograph-23C34
U+23C34
Other letter (Lo)

UTF-8 encoding: F0 A3 B0 B4 (4 bytes).

Hex color
#023C34
RGB(2, 60, 52)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.60.52.

Address
0.2.60.52
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.60.52

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 146,484 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 146484 first appears in π at position 820,286 of the decimal expansion (the 820,286ordinal-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°.