number.wiki
Live analysis

146,172

146,172 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.).

146,172 (one hundred forty-six thousand one hundred seventy-two) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 3 × 13 × 937. Its proper divisors sum to 221,524, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x23AFC.

Abundant Number Cube-Free Gapful Number Odious Number Pernicious Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
21
Digit product
336
Digital root
3
Palindrome
No
Bit width
18 bits
Reversed
271,641
Recamán's sequence
a(216,072) = 146,172
Square (n²)
21,366,253,584
Cube (n³)
3,123,148,018,880,448
Divisor count
24
σ(n) — sum of divisors
367,696
φ(n) — Euler's totient
44,928
Sum of prime factors
957

Primality

Prime factorization: 2 2 × 3 × 13 × 937

Nearest primes: 146,161 (−11) · 146,173 (+1)

Divisors & multiples

All divisors (24)
1 · 2 · 3 · 4 · 6 · 12 · 13 · 26 · 39 · 52 · 78 · 156 · 937 · 1874 · 2811 · 3748 · 5622 · 11244 · 12181 · 24362 · 36543 · 48724 · 73086 (half) · 146172
Aliquot sum (sum of proper divisors): 221,524
Factor pairs (a × b = 146,172)
1 × 146172
2 × 73086
3 × 48724
4 × 36543
6 × 24362
12 × 12181
13 × 11244
26 × 5622
39 × 3748
52 × 2811
78 × 1874
156 × 937
First multiples
146,172 · 292,344 (double) · 438,516 · 584,688 · 730,860 · 877,032 · 1,023,204 · 1,169,376 · 1,315,548 · 1,461,720

Sums & aliquot sequence

As consecutive integers: 48,723 + 48,724 + 48,725 18,268 + 18,269 + … + 18,275 11,238 + 11,239 + … + 11,250 6,079 + 6,080 + … + 6,102
Aliquot sequence: 146,172 221,524 166,150 142,982 106,678 81,818 52,102 27,098 15,994 10,214 5,110 5,546 3,094 2,954 2,134 1,394 874 — unresolved within range

Continued fraction of √n

√146,172 = [382; (3, 12, 4, 1, 18, 1, 4, 12, 3, 764)]

Period length 10 — the block in parentheses repeats forever.

Representations

In words
one hundred forty-six thousand one hundred seventy-two
Ordinal
146172nd
Binary
100011101011111100
Octal
435374
Hexadecimal
0x23AFC
Base64
Ajr8
One's complement
4,294,821,123 (32-bit)
Scientific notation
1.46172 × 10⁵
As a duration
146,172 s = 1 day, 16 hours, 36 minutes, 12 seconds
In other bases
ternary (3) 21102111210
quaternary (4) 203223330
quinary (5) 14134142
senary (6) 3044420
septenary (7) 1146105
nonary (9) 242453
undecimal (11) 9a904
duodecimal (12) 70710
tridecimal (13) 516c0
tetradecimal (14) 3b3ac
pentadecimal (15) 2d49c

As an angle

146,172° = 406 × 360° + 12°
12° ≈ 0.209 rad
Compass bearing: NNE (north-northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρμϛροβʹ
Mayan (base 20)
𝋲·𝋥·𝋨·𝋬
Chinese
一十四萬六千一百七十二
Chinese (financial)
壹拾肆萬陸仟壹佰柒拾貳
In other modern scripts
Eastern Arabic ١٤٦١٧٢ Devanagari १४६१७२ Bengali ১৪৬১৭২ Tamil ௧௪௬௧௭௨ Thai ๑๔๖๑๗๒ Tibetan ༡༤༦༡༧༢ Khmer ១៤៦១៧២ Lao ໑໔໖໑໗໒ Burmese ၁၄၆၁၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 146172, here are decompositions:

  • 11 + 146161 = 146172
  • 31 + 146141 = 146172
  • 73 + 146099 = 146172
  • 79 + 146093 = 146172
  • 109 + 146063 = 146172
  • 113 + 146059 = 146172
  • 139 + 146033 = 146172
  • 149 + 146023 = 146172

Showing the first eight; more decompositions exist.

Unicode codepoint
𣫼
CJK Unified Ideograph-23Afc
U+23AFC
Other letter (Lo)

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

Hex color
#023AFC
RGB(2, 58, 252)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.58.252.

Address
0.2.58.252
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.58.252

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 146,172 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 146172 first appears in π at position 298,215 of the decimal expansion (the 298,215ordinal-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°.