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147,320

147,320 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.).

147,320 (one hundred forty-seven thousand three hundred twenty) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2³ × 5 × 29 × 127. Its proper divisors sum to 198,280, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x23F78.

Abundant Number Arithmetic Number Gapful Number Happy Number Odious Number Pernicious Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
17
Digit product
0
Digital root
8
Palindrome
No
Bit width
18 bits
Reversed
23,741
Recamán's sequence
a(213,776) = 147,320
Square (n²)
21,703,182,400
Cube (n³)
3,197,312,831,168,000
Divisor count
32
σ(n) — sum of divisors
345,600
φ(n) — Euler's totient
56,448
Sum of prime factors
167

Primality

Prime factorization: 2 3 × 5 × 29 × 127

Nearest primes: 147,319 (−1) · 147,331 (+11)

Divisors & multiples

All divisors (32)
1 · 2 · 4 · 5 · 8 · 10 · 20 · 29 · 40 · 58 · 116 · 127 · 145 · 232 · 254 · 290 · 508 · 580 · 635 · 1016 · 1160 · 1270 · 2540 · 3683 · 5080 · 7366 · 14732 · 18415 · 29464 · 36830 · 73660 (half) · 147320
Aliquot sum (sum of proper divisors): 198,280
Factor pairs (a × b = 147,320)
1 × 147320
2 × 73660
4 × 36830
5 × 29464
8 × 18415
10 × 14732
20 × 7366
29 × 5080
40 × 3683
58 × 2540
116 × 1270
127 × 1160
145 × 1016
232 × 635
254 × 580
290 × 508
First multiples
147,320 · 294,640 (double) · 441,960 · 589,280 · 736,600 · 883,920 · 1,031,240 · 1,178,560 · 1,325,880 · 1,473,200

Sums & aliquot sequence

As consecutive integers: 29,462 + 29,463 + 29,464 + 29,465 + 29,466 9,200 + 9,201 + … + 9,215 5,066 + 5,067 + … + 5,094 1,802 + 1,803 + … + 1,881
Aliquot sequence: 147,320 198,280 247,940 441,532 510,244 510,300 1,387,148 1,419,124 1,419,180 3,311,700 8,354,220 18,380,628 37,502,892 74,855,508 141,336,300 371,630,868 622,681,836 — unresolved within range

Continued fraction of √n

√147,320 = [383; (1, 4, 1, 1, 1, 4, 1, 1, 1, 4, 1, 766)]

Period length 12 — the block in parentheses repeats forever.

Representations

In words
one hundred forty-seven thousand three hundred twenty
Ordinal
147320th
Binary
100011111101111000
Octal
437570
Hexadecimal
0x23F78
Base64
Aj94
One's complement
4,294,819,975 (32-bit)
Scientific notation
1.4732 × 10⁵
As a duration
147,320 s = 1 day, 16 hours, 55 minutes, 20 seconds
In other bases
ternary (3) 21111002022
quaternary (4) 203331320
quinary (5) 14203240
senary (6) 3054012
septenary (7) 1152335
nonary (9) 244068
undecimal (11) a0758
duodecimal (12) 71308
tridecimal (13) 52094
tetradecimal (14) 3b98c
pentadecimal (15) 2d9b5

As an angle

147,320° = 409 × 360° + 80°
80° ≈ 1.396 rad
Compass bearing: E (east)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆
Greek (Milesian)
͵ρμζτκʹ
Mayan (base 20)
𝋲·𝋨·𝋦·𝋠
Chinese
一十四萬七千三百二十
Chinese (financial)
壹拾肆萬柒仟參佰貳拾
In other modern scripts
Eastern Arabic ١٤٧٣٢٠ Devanagari १४७३२० Bengali ১৪৭৩২০ Tamil ௧௪௭௩௨௦ Thai ๑๔๗๓๒๐ Tibetan ༡༤༧༣༢༠ Khmer ១៤៧៣២០ Lao ໑໔໗໓໒໐ Burmese ၁၄၇၃၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 147320, here are decompositions:

  • 31 + 147289 = 147320
  • 37 + 147283 = 147320
  • 67 + 147253 = 147320
  • 109 + 147211 = 147320
  • 157 + 147163 = 147320
  • 181 + 147139 = 147320
  • 223 + 147097 = 147320
  • 331 + 146989 = 147320

Showing the first eight; more decompositions exist.

Unicode codepoint
𣽸
CJK Unified Ideograph-23F78
U+23F78
Other letter (Lo)

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

Hex color
#023F78
RGB(2, 63, 120)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.63.120.

Address
0.2.63.120
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.63.120

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 147,320 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 147320 first appears in π at position 10,410 of the decimal expansion (the 10,410ordinal-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

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