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146,832

146,832 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.).

146,832 (one hundred forty-six thousand eight hundred thirty-two) is an even 6-digit number. It is a composite number with 80 divisors, and factors as 2⁴ × 3 × 7 × 19 × 23. Its proper divisors sum to 329,328, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x23D90.

Abundant Number Arithmetic Number Evil Number Gapful Number Happy Number Harshad / Niven Practical Number Recamán's Sequence Weird Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
24
Digit product
1,152
Digital root
6
Palindrome
No
Bit width
18 bits
Reversed
238,641
Recamán's sequence
a(214,752) = 146,832
Square (n²)
21,559,636,224
Cube (n³)
3,165,644,506,042,368
Divisor count
80
σ(n) — sum of divisors
476,160
φ(n) — Euler's totient
38,016
Sum of prime factors
60

Primality

Prime factorization: 2 4 × 3 × 7 × 19 × 23

Nearest primes: 146,819 (−13) · 146,833 (+1)

Divisors & multiples

All divisors (80)
1 · 2 · 3 · 4 · 6 · 7 · 8 · 12 · 14 · 16 · 19 · 21 · 23 · 24 · 28 · 38 · 42 · 46 · 48 · 56 · 57 · 69 · 76 · 84 · 92 · 112 · 114 · 133 · 138 · 152 · 161 · 168 · 184 · 228 · 266 · 276 · 304 · 322 · 336 · 368 · 399 · 437 · 456 · 483 · 532 · 552 · 644 · 798 · 874 · 912 · 966 · 1064 · 1104 · 1288 · 1311 · 1596 · 1748 · 1932 · 2128 · 2576 · 2622 · 3059 · 3192 · 3496 · 3864 · 5244 · 6118 · 6384 · 6992 · 7728 · 9177 · 10488 · 12236 · 18354 · 20976 · 24472 · 36708 · 48944 · 73416 (half) · 146832
Aliquot sum (sum of proper divisors): 329,328
Factor pairs (a × b = 146,832)
1 × 146832
2 × 73416
3 × 48944
4 × 36708
6 × 24472
7 × 20976
8 × 18354
12 × 12236
14 × 10488
16 × 9177
19 × 7728
21 × 6992
23 × 6384
24 × 6118
28 × 5244
38 × 3864
42 × 3496
46 × 3192
48 × 3059
56 × 2622
57 × 2576
69 × 2128
76 × 1932
84 × 1748
92 × 1596
112 × 1311
114 × 1288
133 × 1104
138 × 1064
152 × 966
161 × 912
168 × 874
184 × 798
228 × 644
266 × 552
276 × 532
304 × 483
322 × 456
336 × 437
368 × 399
First multiples
146,832 · 293,664 (double) · 440,496 · 587,328 · 734,160 · 880,992 · 1,027,824 · 1,174,656 · 1,321,488 · 1,468,320

Sums & aliquot sequence

As consecutive integers: 48,943 + 48,944 + 48,945 20,973 + 20,974 + … + 20,979 7,719 + 7,720 + … + 7,737 6,982 + 6,983 + … + 7,002
Aliquot sequence: 146,832 329,328 592,736 574,276 430,714 236,294 118,150 116,210 92,986 53,894 26,950 36,662 20,794 11,354 8,134 6,230 6,730 — unresolved within range

Continued fraction of √n

√146,832 = [383; (5, 2, 1, 3, 1, 5, 1, 1, 4, 1, 4, 1, 1, 5, 1, 3, 1, 2, 5, 766)]

Period length 20 — the block in parentheses repeats forever.

Representations

In words
one hundred forty-six thousand eight hundred thirty-two
Ordinal
146832nd
Binary
100011110110010000
Octal
436620
Hexadecimal
0x23D90
Base64
Aj2Q
One's complement
4,294,820,463 (32-bit)
Scientific notation
1.46832 × 10⁵
As a duration
146,832 s = 1 day, 16 hours, 47 minutes, 12 seconds
In other bases
ternary (3) 21110102020
quaternary (4) 203312100
quinary (5) 14144312
senary (6) 3051440
septenary (7) 1151040
nonary (9) 243366
undecimal (11) a0354
duodecimal (12) 70b80
tridecimal (13) 51aaa
tetradecimal (14) 3b720
pentadecimal (15) 2d78c

As an angle

146,832° = 407 × 360° + 312°
312° ≈ 5.445 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρμϛωλβʹ
Mayan (base 20)
𝋲·𝋧·𝋡·𝋬
Chinese
一十四萬六千八百三十二
Chinese (financial)
壹拾肆萬陸仟捌佰參拾貳
In other modern scripts
Eastern Arabic ١٤٦٨٣٢ Devanagari १४६८३२ Bengali ১৪৬৮৩২ Tamil ௧௪௬௮௩௨ Thai ๑๔๖๘๓๒ Tibetan ༡༤༦༨༣༢ Khmer ១៤៦៨៣២ Lao ໑໔໖໘໓໒ Burmese ၁၄၆၈၃၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 146832, here are decompositions:

  • 13 + 146819 = 146832
  • 31 + 146801 = 146832
  • 83 + 146749 = 146832
  • 89 + 146743 = 146832
  • 113 + 146719 = 146832
  • 131 + 146701 = 146832
  • 149 + 146683 = 146832
  • 151 + 146681 = 146832

Showing the first eight; more decompositions exist.

Unicode codepoint
𣶐
CJK Unified Ideograph-23D90
U+23D90
Other letter (Lo)

UTF-8 encoding: F0 A3 B6 90 (4 bytes).

Hex color
#023D90
RGB(2, 61, 144)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.61.144.

Address
0.2.61.144
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.61.144

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 146,832 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 146832 first appears in π at position 822,886 of the decimal expansion (the 822,886ordinal-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°.