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147,072

147,072 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.).

147,072 (one hundred forty-seven thousand seventy-two) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2⁷ × 3 × 383. Its proper divisors sum to 244,608, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x23E80.

Abundant Number Arithmetic Number Gapful Number Odious Number Pernicious Number Practical Number Pronic / Oblong Recamán's Sequence Refactorable Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
21
Digit product
0
Digital root
3
Palindrome
No
Bit width
18 bits
Reversed
270,741
Recamán's sequence
a(214,272) = 147,072
Square (n²)
21,630,173,184
Cube (n³)
3,181,192,830,517,248
Divisor count
32
σ(n) — sum of divisors
391,680
φ(n) — Euler's totient
48,896
Sum of prime factors
400

Primality

Prime factorization: 2 7 × 3 × 383

Nearest primes: 147,047 (−25) · 147,073 (+1)

Divisors & multiples

All divisors (32)
1 · 2 · 3 · 4 · 6 · 8 · 12 · 16 · 24 · 32 · 48 · 64 · 96 · 128 · 192 · 383 · 384 · 766 · 1149 · 1532 · 2298 · 3064 · 4596 · 6128 · 9192 · 12256 · 18384 · 24512 · 36768 · 49024 · 73536 (half) · 147072
Aliquot sum (sum of proper divisors): 244,608
Factor pairs (a × b = 147,072)
1 × 147072
2 × 73536
3 × 49024
4 × 36768
6 × 24512
8 × 18384
12 × 12256
16 × 9192
24 × 6128
32 × 4596
48 × 3064
64 × 2298
96 × 1532
128 × 1149
192 × 766
383 × 384
First multiples
147,072 · 294,144 (double) · 441,216 · 588,288 · 735,360 · 882,432 · 1,029,504 · 1,176,576 · 1,323,648 · 1,470,720

Sums & aliquot sequence

As consecutive integers: 49,023 + 49,024 + 49,025 447 + 448 + … + 702 193 + 194 + … + 575
Aliquot sequence: 147,072 244,608 569,352 1,057,848 1,827,912 2,741,928 5,514,072 8,271,168 14,576,640 36,319,968 70,769,952 152,129,088 283,923,126 347,871,258 513,524,550 1,089,658,554 1,219,886,022 — unresolved within range

Continued fraction of √n

√147,072 = [383; (2, 766)]

Period length 2 — the block in parentheses repeats forever.

Representations

In words
one hundred forty-seven thousand seventy-two
Ordinal
147072nd
Binary
100011111010000000
Octal
437200
Hexadecimal
0x23E80
Base64
Aj6A
One's complement
4,294,820,223 (32-bit)
Scientific notation
1.47072 × 10⁵
As a duration
147,072 s = 1 day, 16 hours, 51 minutes, 12 seconds
In other bases
ternary (3) 21110202010
quaternary (4) 203322000
quinary (5) 14201242
senary (6) 3052520
septenary (7) 1151532
nonary (9) 243663
undecimal (11) a0552
duodecimal (12) 71140
tridecimal (13) 51c33
tetradecimal (14) 3b852
pentadecimal (15) 2d89c

As an angle

147,072° = 408 × 360° + 192°
192° ≈ 3.351 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒌋𒌋𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρμζοβʹ
Mayan (base 20)
𝋲·𝋧·𝋭·𝋬
Chinese
一十四萬七千零七十二
Chinese (financial)
壹拾肆萬柒仟零柒拾貳
In other modern scripts
Eastern Arabic ١٤٧٠٧٢ Devanagari १४७०७२ Bengali ১৪৭০৭২ Tamil ௧௪௭௦௭௨ Thai ๑๔๗๐๗๒ Tibetan ༡༤༧༠༧༢ Khmer ១៤៧០៧២ Lao ໑໔໗໐໗໒ Burmese ၁၄၇၀၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 147072, here are decompositions:

  • 41 + 147031 = 147072
  • 43 + 147029 = 147072
  • 61 + 147011 = 147072
  • 83 + 146989 = 147072
  • 89 + 146983 = 147072
  • 131 + 146941 = 147072
  • 139 + 146933 = 147072
  • 151 + 146921 = 147072

Showing the first eight; more decompositions exist.

Unicode codepoint
𣺀
CJK Unified Ideograph-23E80
U+23E80
Other letter (Lo)

UTF-8 encoding: F0 A3 BA 80 (4 bytes).

Hex color
#023E80
RGB(2, 62, 128)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.62.128.

Address
0.2.62.128
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.62.128

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 147,072 and was likely granted around 1873.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Related reading

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.