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146,146

146,146 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.).

146,146 (one hundred forty-six thousand one hundred forty-six) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2 × 7 × 11 × 13 × 73. Its proper divisors sum to 152,222, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x23AE2.

Abundant Number Arithmetic Number Cube-Free Harshad / Niven Odious Number Recamán's Sequence Semiperfect Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
22
Digit product
576
Digital root
4
Palindrome
No
Bit width
18 bits
Reversed
641,641
Recamán's sequence
a(216,124) = 146,146
Square (n²)
21,358,653,316
Cube (n³)
3,121,481,747,520,136
Divisor count
32
σ(n) — sum of divisors
298,368
φ(n) — Euler's totient
51,840
Sum of prime factors
106

Primality

Prime factorization: 2 × 7 × 11 × 13 × 73

Nearest primes: 146,141 (−5) · 146,161 (+15)

Divisors & multiples

All divisors (32)
1 · 2 · 7 · 11 · 13 · 14 · 22 · 26 · 73 · 77 · 91 · 143 · 146 · 154 · 182 · 286 · 511 · 803 · 949 · 1001 · 1022 · 1606 · 1898 · 2002 · 5621 · 6643 · 10439 · 11242 · 13286 · 20878 · 73073 (half) · 146146
Aliquot sum (sum of proper divisors): 152,222
Factor pairs (a × b = 146,146)
1 × 146146
2 × 73073
7 × 20878
11 × 13286
13 × 11242
14 × 10439
22 × 6643
26 × 5621
73 × 2002
77 × 1898
91 × 1606
143 × 1022
146 × 1001
154 × 949
182 × 803
286 × 511
First multiples
146,146 · 292,292 (double) · 438,438 · 584,584 · 730,730 · 876,876 · 1,023,022 · 1,169,168 · 1,315,314 · 1,461,460

Sums & aliquot sequence

As consecutive integers: 36,535 + 36,536 + 36,537 + 36,538 20,875 + 20,876 + … + 20,881 13,281 + 13,282 + … + 13,291 11,236 + 11,237 + … + 11,248
Aliquot sequence: 146,146 152,222 113,890 120,542 60,274 30,140 39,412 31,148 27,652 22,524 30,060 61,668 98,492 73,876 75,308 58,924 44,200 — unresolved within range

Continued fraction of √n

√146,146 = [382; (3, 2, 3, 1, 6, 1, 1, 32, 1, 2, 2, 2, 1, 32, 1, 1, 6, 1, 3, 2, 3, 764)]

Period length 22 — the block in parentheses repeats forever.

Representations

In words
one hundred forty-six thousand one hundred forty-six
Ordinal
146146th
Binary
100011101011100010
Octal
435342
Hexadecimal
0x23AE2
Base64
Ajri
One's complement
4,294,821,149 (32-bit)
Scientific notation
1.46146 × 10⁵
As a duration
146,146 s = 1 day, 16 hours, 35 minutes, 46 seconds
In other bases
ternary (3) 21102110211
quaternary (4) 203223202
quinary (5) 14134041
senary (6) 3044334
septenary (7) 1146040
nonary (9) 242424
undecimal (11) 9a890
duodecimal (12) 706aa
tridecimal (13) 516a0
tetradecimal (14) 3b390
pentadecimal (15) 2d481

As an angle

146,146° = 405 × 360° + 346°
346° ≈ 6.039 rad
Compass bearing: NNW (north-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρμϛρμϛʹ
Mayan (base 20)
𝋲·𝋥·𝋧·𝋦
Chinese
一十四萬六千一百四十六
Chinese (financial)
壹拾肆萬陸仟壹佰肆拾陸
In other modern scripts
Eastern Arabic ١٤٦١٤٦ Devanagari १४६१४६ Bengali ১৪৬১৪৬ Tamil ௧௪௬௧௪௬ Thai ๑๔๖๑๔๖ Tibetan ༡༤༦༡༤༦ Khmer ១៤៦១៤៦ Lao ໑໔໖໑໔໖ Burmese ၁၄၆၁၄၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 146146, here are decompositions:

  • 5 + 146141 = 146146
  • 29 + 146117 = 146146
  • 47 + 146099 = 146146
  • 53 + 146093 = 146146
  • 83 + 146063 = 146146
  • 89 + 146057 = 146146
  • 113 + 146033 = 146146
  • 137 + 146009 = 146146

Showing the first eight; more decompositions exist.

Unicode codepoint
𣫢
CJK Unified Ideograph-23Ae2
U+23AE2
Other letter (Lo)

UTF-8 encoding: F0 A3 AB A2 (4 bytes).

Hex color
#023AE2
RGB(2, 58, 226)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.58.226.

Address
0.2.58.226
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.58.226

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 146,146 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 146146 first appears in π at position 34,524 of the decimal expansion (the 34,524ordinal-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