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147,200

147,200 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.).

147,200 (one hundred forty-seven thousand two hundred) is an even 6-digit number. It is a composite number with 54 divisors, and factors as 2⁸ × 5² × 23. Its proper divisors sum to 232,984, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x23F00.

Abundant 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
14
Digit product
0
Digital root
5
Palindrome
No
Bit width
18 bits
Reversed
2,741
Recamán's sequence
a(214,016) = 147,200
Square (n²)
21,667,840,000
Cube (n³)
3,189,506,048,000,000
Divisor count
54
σ(n) — sum of divisors
380,184
φ(n) — Euler's totient
56,320
Sum of prime factors
49

Primality

Prime factorization: 2 8 × 5 2 × 23

Nearest primes: 147,197 (−3) · 147,209 (+9)

Divisors & multiples

All divisors (54)
1 · 2 · 4 · 5 · 8 · 10 · 16 · 20 · 23 · 25 · 32 · 40 · 46 · 50 · 64 · 80 · 92 · 100 · 115 · 128 · 160 · 184 · 200 · 230 · 256 · 320 · 368 · 400 · 460 · 575 · 640 · 736 · 800 · 920 · 1150 · 1280 · 1472 · 1600 · 1840 · 2300 · 2944 · 3200 · 3680 · 4600 · 5888 · 6400 · 7360 · 9200 · 14720 · 18400 · 29440 · 36800 · 73600 (half) · 147200
Aliquot sum (sum of proper divisors): 232,984
Factor pairs (a × b = 147,200)
1 × 147200
2 × 73600
4 × 36800
5 × 29440
8 × 18400
10 × 14720
16 × 9200
20 × 7360
23 × 6400
25 × 5888
32 × 4600
40 × 3680
46 × 3200
50 × 2944
64 × 2300
80 × 1840
92 × 1600
100 × 1472
115 × 1280
128 × 1150
160 × 920
184 × 800
200 × 736
230 × 640
256 × 575
320 × 460
368 × 400
First multiples
147,200 · 294,400 (double) · 441,600 · 588,800 · 736,000 · 883,200 · 1,030,400 · 1,177,600 · 1,324,800 · 1,472,000

Sums & aliquot sequence

As consecutive integers: 29,438 + 29,439 + 29,440 + 29,441 + 29,442 6,389 + 6,390 + … + 6,411 5,876 + 5,877 + … + 5,900 1,223 + 1,224 + … + 1,337
Aliquot sequence: 147,200 232,984 203,876 152,914 79,034 42,406 36,218 30,982 22,154 16,726 8,366 4,594 2,300 2,908 2,188 1,648 1,576 — unresolved within range

Continued fraction of √n

√147,200 = [383; (1, 1, 1, 766)]

Period length 4 — the block in parentheses repeats forever.

Representations

In words
one hundred forty-seven thousand two hundred
Ordinal
147200th
Binary
100011111100000000
Octal
437400
Hexadecimal
0x23F00
Base64
Aj8A
One's complement
4,294,820,095 (32-bit)
Scientific notation
1.472 × 10⁵
As a duration
147,200 s = 1 day, 16 hours, 53 minutes, 20 seconds
In other bases
ternary (3) 21110220212
quaternary (4) 203330000
quinary (5) 14202300
senary (6) 3053252
septenary (7) 1152104
nonary (9) 243825
undecimal (11) a0659
duodecimal (12) 71228
tridecimal (13) 52001
tetradecimal (14) 3b904
pentadecimal (15) 2d935

As an angle

147,200° = 408 × 360° + 320°
320° ≈ 5.585 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢
Greek (Milesian)
͵ρμζσʹ
Mayan (base 20)
𝋲·𝋨·𝋠·𝋠
Chinese
一十四萬七千二百
Chinese (financial)
壹拾肆萬柒仟貳佰
In other modern scripts
Eastern Arabic ١٤٧٢٠٠ Devanagari १४७२०० Bengali ১৪৭২০০ Tamil ௧௪௭௨௦௦ Thai ๑๔๗๒๐๐ Tibetan ༡༤༧༢༠༠ Khmer ១៤៧២០០ Lao ໑໔໗໒໐໐ Burmese ၁၄၇၂၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 147200, here are decompositions:

  • 3 + 147197 = 147200
  • 37 + 147163 = 147200
  • 61 + 147139 = 147200
  • 103 + 147097 = 147200
  • 127 + 147073 = 147200
  • 211 + 146989 = 147200
  • 223 + 146977 = 147200
  • 283 + 146917 = 147200

Showing the first eight; more decompositions exist.

Unicode codepoint
𣼀
CJK Unified Ideograph-23F00
U+23F00
Other letter (Lo)

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

Hex color
#023F00
RGB(2, 63, 0)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.63.0.

Address
0.2.63.0
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.63.0

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 147,200 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 147200 first appears in π at position 221,376 of the decimal expansion (the 221,376ordinal-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.