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146,952

146,952 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.).

146,952 (one hundred forty-six thousand nine hundred fifty-two) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2³ × 3² × 13 × 157. Its proper divisors sum to 284,388, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x23E08.

Abundant Number Gapful Number Odious Number Pernicious Number Practical Number Recamán's Sequence Semiperfect Number Vampire Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
27
Digit product
2,160
Digital root
9
Palindrome
No
Bit width
18 bits
Reversed
259,641
Recamán's sequence
a(214,512) = 146,952
Square (n²)
21,594,890,304
Cube (n³)
3,173,412,319,953,408
Divisor count
48
σ(n) — sum of divisors
431,340
φ(n) — Euler's totient
44,928
Sum of prime factors
182

Primality

Prime factorization: 2 3 × 3 2 × 13 × 157

Nearest primes: 146,941 (−11) · 146,953 (+1)

Divisors & multiples

All divisors (48)
1 · 2 · 3 · 4 · 6 · 8 · 9 · 12 · 13 · 18 · 24 · 26 · 36 · 39 · 52 · 72 · 78 · 104 · 117 · 156 · 157 · 234 · 312 · 314 · 468 · 471 · 628 · 936 · 942 · 1256 · 1413 · 1884 · 2041 · 2826 · 3768 · 4082 · 5652 · 6123 · 8164 · 11304 · 12246 · 16328 · 18369 · 24492 · 36738 · 48984 · 73476 (half) · 146952
Aliquot sum (sum of proper divisors): 284,388
Factor pairs (a × b = 146,952)
1 × 146952
2 × 73476
3 × 48984
4 × 36738
6 × 24492
8 × 18369
9 × 16328
12 × 12246
13 × 11304
18 × 8164
24 × 6123
26 × 5652
36 × 4082
39 × 3768
52 × 2826
72 × 2041
78 × 1884
104 × 1413
117 × 1256
156 × 942
157 × 936
234 × 628
312 × 471
314 × 468
First multiples
146,952 · 293,904 (double) · 440,856 · 587,808 · 734,760 · 881,712 · 1,028,664 · 1,175,616 · 1,322,568 · 1,469,520

Sums & aliquot sequence

As a sum of two squares: 114² + 366² = 246² + 294²
As a sum of two cubes: 28³ + 50³
As consecutive integers: 48,983 + 48,984 + 48,985 16,324 + 16,325 + … + 16,332 11,298 + 11,299 + … + 11,310 9,177 + 9,178 + … + 9,192
Aliquot sequence: 146,952 284,388 430,620 775,284 1,148,652 1,754,976 2,923,152 4,628,448 10,128,672 21,018,528 45,912,420 103,924,764 171,757,188 312,173,532 548,669,724 732,005,364 976,451,596 — unresolved within range

Continued fraction of √n

√146,952 = [383; (2, 1, 10, 1, 1, 1, 1, 4, 2, 2, 4, 1, 20, 2, 13, 4, 1, 14, 1, 5, 2, 1, 1, 84, …)]

Period length 48 — the block in parentheses repeats forever.

Representations

In words
one hundred forty-six thousand nine hundred fifty-two
Ordinal
146952nd
Binary
100011111000001000
Octal
437010
Hexadecimal
0x23E08
Base64
Aj4I
One's complement
4,294,820,343 (32-bit)
Scientific notation
1.46952 × 10⁵
As a duration
146,952 s = 1 day, 16 hours, 49 minutes, 12 seconds
In other bases
ternary (3) 21110120200
quaternary (4) 203320020
quinary (5) 14200302
senary (6) 3052200
septenary (7) 1151301
nonary (9) 243520
undecimal (11) a0453
duodecimal (12) 71060
tridecimal (13) 51b70
tetradecimal (14) 3b7a8
pentadecimal (15) 2d81c

As an angle

146,952° = 408 × 360° + 72°
72° ≈ 1.257 rad
Compass bearing: ENE (east-northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρμϛϡνβʹ
Mayan (base 20)
𝋲·𝋧·𝋧·𝋬
Chinese
一十四萬六千九百五十二
Chinese (financial)
壹拾肆萬陸仟玖佰伍拾貳
In other modern scripts
Eastern Arabic ١٤٦٩٥٢ Devanagari १४६९५२ Bengali ১৪৬৯৫২ Tamil ௧௪௬௯௫௨ Thai ๑๔๖๙๕๒ Tibetan ༡༤༦༩༥༢ Khmer ១៤៦៩៥២ Lao ໑໔໖໙໕໒ Burmese ၁၄၆၉၅၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 146952, here are decompositions:

  • 11 + 146941 = 146952
  • 19 + 146933 = 146952
  • 31 + 146921 = 146952
  • 59 + 146893 = 146952
  • 61 + 146891 = 146952
  • 103 + 146849 = 146952
  • 109 + 146843 = 146952
  • 151 + 146801 = 146952

Showing the first eight; more decompositions exist.

Unicode codepoint
𣸈
CJK Unified Ideograph-23E08
U+23E08
Other letter (Lo)

UTF-8 encoding: F0 A3 B8 88 (4 bytes).

Hex color
#023E08
RGB(2, 62, 8)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.62.8.

Address
0.2.62.8
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.62.8

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 146,952 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 146952 first appears in π at position 271,817 of the decimal expansion (the 271,817ordinal-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°.