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146,816

146,816 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.).

146,816 (one hundred forty-six thousand eight hundred sixteen) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2⁷ × 31 × 37. Its proper divisors sum to 163,264, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x23D80.

Abundant Number Arithmetic Number Gapful Number Odious Number Pernicious Number Practical Number Recamán's Sequence Refactorable Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
26
Digit product
1,152
Digital root
8
Palindrome
No
Bit width
18 bits
Reversed
618,641
Recamán's sequence
a(214,784) = 146,816
Square (n²)
21,554,937,856
Cube (n³)
3,164,609,756,266,496
Divisor count
32
σ(n) — sum of divisors
310,080
φ(n) — Euler's totient
69,120
Sum of prime factors
82

Primality

Prime factorization: 2 7 × 31 × 37

Nearest primes: 146,807 (−9) · 146,819 (+3)

Divisors & multiples

All divisors (32)
1 · 2 · 4 · 8 · 16 · 31 · 32 · 37 · 62 · 64 · 74 · 124 · 128 · 148 · 248 · 296 · 496 · 592 · 992 · 1147 · 1184 · 1984 · 2294 · 2368 · 3968 · 4588 · 4736 · 9176 · 18352 · 36704 · 73408 (half) · 146816
Aliquot sum (sum of proper divisors): 163,264
Factor pairs (a × b = 146,816)
1 × 146816
2 × 73408
4 × 36704
8 × 18352
16 × 9176
31 × 4736
32 × 4588
37 × 3968
62 × 2368
64 × 2294
74 × 1984
124 × 1184
128 × 1147
148 × 992
248 × 592
296 × 496
First multiples
146,816 · 293,632 (double) · 440,448 · 587,264 · 734,080 · 880,896 · 1,027,712 · 1,174,528 · 1,321,344 · 1,468,160

Sums & aliquot sequence

As consecutive integers: 4,721 + 4,722 + … + 4,751 3,950 + 3,951 + … + 3,986 446 + 447 + … + 701
Aliquot sequence: 146,816 163,264 160,840 201,140 229,780 252,800 379,600 615,996 969,588 1,590,060 2,862,276 3,887,964 5,940,036 9,075,146 4,559,098 2,340,410 1,892,326 — unresolved within range

Continued fraction of √n

√146,816 = [383; (6, 30, 2, 18, 5, 47, 1, 2, 3, 4, 2, 1, 2, 7, 3, 2, 3, 191, 3, 2, 3, 7, 2, 1, …)]

Period length 36 — the block in parentheses repeats forever.

Representations

In words
one hundred forty-six thousand eight hundred sixteen
Ordinal
146816th
Binary
100011110110000000
Octal
436600
Hexadecimal
0x23D80
Base64
Aj2A
One's complement
4,294,820,479 (32-bit)
Scientific notation
1.46816 × 10⁵
As a duration
146,816 s = 1 day, 16 hours, 46 minutes, 56 seconds
In other bases
ternary (3) 21110101122
quaternary (4) 203312000
quinary (5) 14144231
senary (6) 3051412
septenary (7) 1151015
nonary (9) 243348
undecimal (11) a033a
duodecimal (12) 70b68
tridecimal (13) 51a97
tetradecimal (14) 3b70c
pentadecimal (15) 2d77b

As an angle

146,816° = 407 × 360° + 296°
296° ≈ 5.166 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρμϛωιϛʹ
Mayan (base 20)
𝋲·𝋧·𝋠·𝋰
Chinese
一十四萬六千八百一十六
Chinese (financial)
壹拾肆萬陸仟捌佰壹拾陸
In other modern scripts
Eastern Arabic ١٤٦٨١٦ Devanagari १४६८१६ Bengali ১৪৬৮১৬ Tamil ௧௪௬௮௧௬ Thai ๑๔๖๘๑๖ Tibetan ༡༤༦༨༡༦ Khmer ១៤៦៨១៦ Lao ໑໔໖໘໑໖ Burmese ၁၄၆၈၁၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 146816, here are decompositions:

  • 67 + 146749 = 146816
  • 73 + 146743 = 146816
  • 97 + 146719 = 146816
  • 139 + 146677 = 146816
  • 199 + 146617 = 146816
  • 277 + 146539 = 146816
  • 367 + 146449 = 146816
  • 379 + 146437 = 146816

Showing the first eight; more decompositions exist.

Unicode codepoint
𣶀
CJK Unified Ideograph-23D80
U+23D80
Other letter (Lo)

UTF-8 encoding: F0 A3 B6 80 (4 bytes).

Hex color
#023D80
RGB(2, 61, 128)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.61.128.

Address
0.2.61.128
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.61.128

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 146,816 and was likely granted around 1873.

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

Related reading

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