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551,304

551,304 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.).

551,304 (five hundred fifty-one thousand three hundred four) is an even 6-digit number. It is a composite number with 96 divisors, and factors as 2³ × 3² × 13 × 19 × 31. Its proper divisors sum to 1,195,896, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x86988.

Abundant Number Arithmetic Number Harshad / Niven Odious Number Pernicious Number Practical Number Recamán's Sequence Weird Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
18
Digit product
0
Digital root
9
Palindrome
No
Bit width
20 bits
Reversed
403,155
Recamán's sequence
a(186,944) = 551,304
Square (n²)
303,936,100,416
Cube (n³)
167,561,187,903,742,464
Divisor count
96
σ(n) — sum of divisors
1,747,200
φ(n) — Euler's totient
155,520
Sum of prime factors
75

Primality

Prime factorization: 2 3 × 3 2 × 13 × 19 × 31

Nearest primes: 551,297 (−7) · 551,311 (+7)

Divisors & multiples

All divisors (96)
1 · 2 · 3 · 4 · 6 · 8 · 9 · 12 · 13 · 18 · 19 · 24 · 26 · 31 · 36 · 38 · 39 · 52 · 57 · 62 · 72 · 76 · 78 · 93 · 104 · 114 · 117 · 124 · 152 · 156 · 171 · 186 · 228 · 234 · 247 · 248 · 279 · 312 · 342 · 372 · 403 · 456 · 468 · 494 · 558 · 589 · 684 · 741 · 744 · 806 · 936 · 988 · 1116 · 1178 · 1209 · 1368 · 1482 · 1612 · 1767 · 1976 · 2223 · 2232 · 2356 · 2418 · 2964 · 3224 · 3534 · 3627 · 4446 · 4712 · 4836 · 5301 · 5928 · 7068 · 7254 · 7657 · 8892 · 9672 · 10602 · 14136 · 14508 · 15314 · 17784 · 21204 · 22971 · 29016 · 30628 · 42408 · 45942 · 61256 · 68913 · 91884 · 137826 · 183768 · 275652 (half) · 551304
Aliquot sum (sum of proper divisors): 1,195,896
Factor pairs (a × b = 551,304)
1 × 551304
2 × 275652
3 × 183768
4 × 137826
6 × 91884
8 × 68913
9 × 61256
12 × 45942
13 × 42408
18 × 30628
19 × 29016
24 × 22971
26 × 21204
31 × 17784
36 × 15314
38 × 14508
39 × 14136
52 × 10602
57 × 9672
62 × 8892
72 × 7657
76 × 7254
78 × 7068
93 × 5928
104 × 5301
114 × 4836
117 × 4712
124 × 4446
152 × 3627
156 × 3534
171 × 3224
186 × 2964
228 × 2418
234 × 2356
247 × 2232
248 × 2223
279 × 1976
312 × 1767
342 × 1612
372 × 1482
403 × 1368
456 × 1209
468 × 1178
494 × 1116
558 × 988
589 × 936
684 × 806
741 × 744
First multiples
551,304 · 1,102,608 (double) · 1,653,912 · 2,205,216 · 2,756,520 · 3,307,824 · 3,859,128 · 4,410,432 · 4,961,736 · 5,513,040

Sums & aliquot sequence

As a sum of two cubes: 34³ + 80³
As consecutive integers: 183,767 + 183,768 + 183,769 61,252 + 61,253 + … + 61,260 42,402 + 42,403 + … + 42,414 34,449 + 34,450 + … + 34,464
Aliquot sequence: 551,304 1,195,896 2,024,664 3,213,336 6,279,144 9,418,776 15,533,544 26,288,376 39,432,624 90,844,752 143,837,648 143,900,632 125,913,068 94,434,808 100,910,552 88,574,248 102,044,312 — unresolved within range

Continued fraction of √n

√551,304 = [742; (2, 164, 2, 1484)]

Period length 4 — the block in parentheses repeats forever.

Representations

In words
five hundred fifty-one thousand three hundred four
Ordinal
551304th
Binary
10000110100110001000
Octal
2064610
Hexadecimal
0x86988
Base64
CGmI
One's complement
4,294,415,991 (32-bit)
Scientific notation
5.51304 × 10⁵
As a duration
551,304 s = 6 days, 9 hours, 8 minutes, 24 seconds
In other bases
ternary (3) 1001000020200
quaternary (4) 2012212020
quinary (5) 120120204
senary (6) 15452200
septenary (7) 4454205
nonary (9) 1030220
undecimal (11) 347226
duodecimal (12) 227060
tridecimal (13) 163c20
tetradecimal (14) 104cac
pentadecimal (15) ad539

As an angle

551,304° = 1,531 × 360° + 144°
144° ≈ 2.513 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓏺𓏺𓏺𓏺
Greek (Milesian)
͵φνατδʹ
Chinese
五十五萬一千三百零四
Chinese (financial)
伍拾伍萬壹仟參佰零肆
In other modern scripts
Eastern Arabic ٥٥١٣٠٤ Devanagari ५५१३०४ Bengali ৫৫১৩০৪ Tamil ௫௫௧௩௦௪ Thai ๕๕๑๓๐๔ Tibetan ༥༥༡༣༠༤ Khmer ៥៥១៣០៤ Lao ໕໕໑໓໐໔ Burmese ၅၅၁၃၀၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 551304, here are decompositions:

  • 7 + 551297 = 551304
  • 23 + 551281 = 551304
  • 71 + 551233 = 551304
  • 73 + 551231 = 551304
  • 97 + 551207 = 551304
  • 107 + 551197 = 551304
  • 191 + 551113 = 551304
  • 197 + 551107 = 551304

Showing the first eight; more decompositions exist.

Hex color
#086988
RGB(8, 105, 136)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.8.105.136.

Address
0.8.105.136
Class
reserved
IPv4-mapped IPv6
::ffff:0.8.105.136

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 551,304 and was likely granted around 1895.

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

Position in π

The digit sequence 551304 first appears in π at position 35,426 of the decimal expansion (the 35,426ordinal-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°.