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537,372

537,372 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.).

537,372 (five hundred thirty-seven thousand three hundred seventy-two) is an even 6-digit number. It is a composite number with 72 divisors, and factors as 2² × 3² × 11 × 23 × 59. Its proper divisors sum to 1,035,108, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x8331C.

Abundant Number Arithmetic Number Cube-Free Evil Number Practical Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
27
Digit product
4,410
Digital root
9
Palindrome
No
Bit width
20 bits
Reversed
273,735
Square (n²)
288,768,666,384
Cube (n³)
155,176,195,792,102,848
Divisor count
72
σ(n) — sum of divisors
1,572,480
φ(n) — Euler's totient
153,120
Sum of prime factors
103

Primality

Prime factorization: 2 2 × 3 2 × 11 × 23 × 59

Nearest primes: 537,347 (−25) · 537,373 (+1)

Divisors & multiples

All divisors (72)
1 · 2 · 3 · 4 · 6 · 9 · 11 · 12 · 18 · 22 · 23 · 33 · 36 · 44 · 46 · 59 · 66 · 69 · 92 · 99 · 118 · 132 · 138 · 177 · 198 · 207 · 236 · 253 · 276 · 354 · 396 · 414 · 506 · 531 · 649 · 708 · 759 · 828 · 1012 · 1062 · 1298 · 1357 · 1518 · 1947 · 2124 · 2277 · 2596 · 2714 · 3036 · 3894 · 4071 · 4554 · 5428 · 5841 · 7788 · 8142 · 9108 · 11682 · 12213 · 14927 · 16284 · 23364 · 24426 · 29854 · 44781 · 48852 · 59708 · 89562 · 134343 · 179124 · 268686 (half) · 537372
Aliquot sum (sum of proper divisors): 1,035,108
Factor pairs (a × b = 537,372)
1 × 537372
2 × 268686
3 × 179124
4 × 134343
6 × 89562
9 × 59708
11 × 48852
12 × 44781
18 × 29854
22 × 24426
23 × 23364
33 × 16284
36 × 14927
44 × 12213
46 × 11682
59 × 9108
66 × 8142
69 × 7788
92 × 5841
99 × 5428
118 × 4554
132 × 4071
138 × 3894
177 × 3036
198 × 2714
207 × 2596
236 × 2277
253 × 2124
276 × 1947
354 × 1518
396 × 1357
414 × 1298
506 × 1062
531 × 1012
649 × 828
708 × 759
First multiples
537,372 · 1,074,744 (double) · 1,612,116 · 2,149,488 · 2,686,860 · 3,224,232 · 3,761,604 · 4,298,976 · 4,836,348 · 5,373,720

Sums & aliquot sequence

As consecutive integers: 179,123 + 179,124 + 179,125 67,168 + 67,169 + … + 67,175 59,704 + 59,705 + … + 59,712 48,847 + 48,848 + … + 48,857
Aliquot sequence: 537,372 1,035,108 1,581,506 790,756 593,074 305,486 191,314 108,206 81,874 55,214 32,026 16,934 8,470 10,682 8,128 8,128 — reaches a perfect number

Continued fraction of √n

√537,372 = [733; (17, 1, 1, 1, 32, 1, 1, 1, 17, 1466)]

Period length 10 — the block in parentheses repeats forever.

Representations

In words
five hundred thirty-seven thousand three hundred seventy-two
Ordinal
537372nd
Binary
10000011001100011100
Octal
2031434
Hexadecimal
0x8331C
Base64
CDMc
One's complement
4,294,429,923 (32-bit)
Scientific notation
5.37372 × 10⁵
As a duration
537,372 s = 6 days, 5 hours, 16 minutes, 12 seconds
In other bases
ternary (3) 1000022010200
quaternary (4) 2003030130
quinary (5) 114143442
senary (6) 15303500
septenary (7) 4365453
nonary (9) 1008120
undecimal (11) 337810
duodecimal (12) 21ab90
tridecimal (13) 15a794
tetradecimal (14) ddb9a
pentadecimal (15) a934c

As an angle

537,372° = 1,492 × 360° + 252°
252° ≈ 4.398 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵φλζτοβʹ
Chinese
五十三萬七千三百七十二
Chinese (financial)
伍拾參萬柒仟參佰柒拾貳
In other modern scripts
Eastern Arabic ٥٣٧٣٧٢ Devanagari ५३७३७२ Bengali ৫৩৭৩৭২ Tamil ௫௩௭௩௭௨ Thai ๕๓๗๓๗๒ Tibetan ༥༣༧༣༧༢ Khmer ៥៣៧៣៧២ Lao ໕໓໗໓໗໒ Burmese ၅၃၇၃၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 537372, here are decompositions:

  • 29 + 537343 = 537372
  • 41 + 537331 = 537372
  • 103 + 537269 = 537372
  • 131 + 537241 = 537372
  • 139 + 537233 = 537372
  • 151 + 537221 = 537372
  • 181 + 537191 = 537372
  • 191 + 537181 = 537372

Showing the first eight; more decompositions exist.

Hex color
#08331C
RGB(8, 51, 28)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.8.51.28.

Address
0.8.51.28
Class
reserved
IPv4-mapped IPv6
::ffff:0.8.51.28

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 537,372 and was likely granted around 1894.

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°.