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146,372

146,372 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.).

146,372 (one hundred forty-six thousand three hundred seventy-two) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 23 × 37 × 43. Written other ways, in hexadecimal, 0x23BC4.

Arithmetic Number Cube-Free Deficient Number Harshad / Niven Odious Number Recamán's Sequence

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
23
Digit product
1,008
Digital root
5
Palindrome
No
Bit width
18 bits
Reversed
273,641
Recamán's sequence
a(215,672) = 146,372
Square (n²)
21,424,762,384
Cube (n³)
3,135,985,319,670,848
Divisor count
24
σ(n) — sum of divisors
280,896
φ(n) — Euler's totient
66,528
Sum of prime factors
107

Primality

Prime factorization: 2 2 × 23 × 37 × 43

Nearest primes: 146,369 (−3) · 146,381 (+9)

Divisors & multiples

All divisors (24)
1 · 2 · 4 · 23 · 37 · 43 · 46 · 74 · 86 · 92 · 148 · 172 · 851 · 989 · 1591 · 1702 · 1978 · 3182 · 3404 · 3956 · 6364 · 36593 · 73186 (half) · 146372
Aliquot sum (sum of proper divisors): 134,524
Factor pairs (a × b = 146,372)
1 × 146372
2 × 73186
4 × 36593
23 × 6364
37 × 3956
43 × 3404
46 × 3182
74 × 1978
86 × 1702
92 × 1591
148 × 989
172 × 851
First multiples
146,372 · 292,744 (double) · 439,116 · 585,488 · 731,860 · 878,232 · 1,024,604 · 1,170,976 · 1,317,348 · 1,463,720

Sums & aliquot sequence

As consecutive integers: 18,293 + 18,294 + … + 18,300 6,353 + 6,354 + … + 6,375 3,938 + 3,939 + … + 3,974 3,383 + 3,384 + … + 3,425
Aliquot sequence: 146,372 134,524 121,676 102,604 79,340 87,316 67,916 50,944 51,256 47,744 47,626 23,816 24,484 18,370 17,918 11,554 6,266 — unresolved within range

Continued fraction of √n

√146,372 = [382; (1, 1, 2, 2, 2, 4, 109, 11, 1, 17, 1, 2, 1, 14, 1, 6, 1, 1, 1, 3, 2, 2, 1, 1, …)]

Period length 50 — the block in parentheses repeats forever.

Representations

In words
one hundred forty-six thousand three hundred seventy-two
Ordinal
146372nd
Binary
100011101111000100
Octal
435704
Hexadecimal
0x23BC4
Base64
AjvE
One's complement
4,294,820,923 (32-bit)
Scientific notation
1.46372 × 10⁵
As a duration
146,372 s = 1 day, 16 hours, 39 minutes, 32 seconds
In other bases
ternary (3) 21102210012
quaternary (4) 203233010
quinary (5) 14140442
senary (6) 3045352
septenary (7) 1146512
nonary (9) 242705
undecimal (11) 9aa76
duodecimal (12) 70858
tridecimal (13) 51815
tetradecimal (14) 3b4b2
pentadecimal (15) 2d582
Palindromic in base 13

As an angle

146,372° = 406 × 360° + 212°
212° ≈ 3.7 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρμϛτοβʹ
Mayan (base 20)
𝋲·𝋥·𝋲·𝋬
Chinese
一十四萬六千三百七十二
Chinese (financial)
壹拾肆萬陸仟參佰柒拾貳
In other modern scripts
Eastern Arabic ١٤٦٣٧٢ Devanagari १४६३७२ Bengali ১৪৬৩৭২ Tamil ௧௪௬௩௭௨ Thai ๑๔๖๓๗๒ Tibetan ༡༤༦༣༧༢ Khmer ១៤៦៣៧២ Lao ໑໔໖໓໗໒ Burmese ၁၄၆၃၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 146372, here are decompositions:

  • 3 + 146369 = 146372
  • 13 + 146359 = 146372
  • 73 + 146299 = 146372
  • 151 + 146221 = 146372
  • 181 + 146191 = 146372
  • 199 + 146173 = 146372
  • 211 + 146161 = 146372
  • 313 + 146059 = 146372

Showing the first eight; more decompositions exist.

Unicode codepoint
𣯄
CJK Unified Ideograph-23Bc4
U+23BC4
Other letter (Lo)

UTF-8 encoding: F0 A3 AF 84 (4 bytes).

Hex color
#023BC4
RGB(2, 59, 196)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.59.196.

Address
0.2.59.196
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.59.196

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 146,372 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 146372 first appears in π at position 485,492 of the decimal expansion (the 485,492ordinal-suffix:nd 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

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