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501,228

501,228 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.).

501,228 (five hundred one thousand two hundred twenty-eight) is an even 6-digit number. It is a composite number with 120 divisors, and factors as 2² × 3⁴ × 7 × 13 × 17. Its proper divisors sum to 1,206,324, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x7A5EC.

Abundant Number Evil Number Harshad / Niven Practical Number Self Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
18
Digit product
0
Digital root
9
Palindrome
No
Bit width
19 bits
Reversed
822,105
Square (n²)
251,229,507,984
Cube (n³)
125,923,263,827,804,352
Divisor count
120
σ(n) — sum of divisors
1,707,552
φ(n) — Euler's totient
124,416
Sum of prime factors
53

Primality

Prime factorization: 2 2 × 3 4 × 7 × 13 × 17

Nearest primes: 501,223 (−5) · 501,229 (+1)

Divisors & multiples

All divisors (120)
1 · 2 · 3 · 4 · 6 · 7 · 9 · 12 · 13 · 14 · 17 · 18 · 21 · 26 · 27 · 28 · 34 · 36 · 39 · 42 · 51 · 52 · 54 · 63 · 68 · 78 · 81 · 84 · 91 · 102 · 108 · 117 · 119 · 126 · 153 · 156 · 162 · 182 · 189 · 204 · 221 · 234 · 238 · 252 · 273 · 306 · 324 · 351 · 357 · 364 · 378 · 442 · 459 · 468 · 476 · 546 · 567 · 612 · 663 · 702 · 714 · 756 · 819 · 884 · 918 · 1053 · 1071 · 1092 · 1134 · 1326 · 1377 · 1404 · 1428 · 1547 · 1638 · 1836 · 1989 · 2106 · 2142 · 2268 · 2457 · 2652 · 2754 · 3094 · 3213 · 3276 · 3978 · 4212 · 4284 · 4641 · 4914 · 5508 · 5967 · 6188 · 6426 · 7371 · 7956 · 9282 · 9639 · 9828 · 11934 · 12852 · 13923 · 14742 · 17901 · 18564 · 19278 · 23868 · 27846 · 29484 · 35802 · 38556 · 41769 · 55692 · 71604 · 83538 · 125307 · 167076 · 250614 (half) · 501228
Aliquot sum (sum of proper divisors): 1,206,324
Factor pairs (a × b = 501,228)
1 × 501228
2 × 250614
3 × 167076
4 × 125307
6 × 83538
7 × 71604
9 × 55692
12 × 41769
13 × 38556
14 × 35802
17 × 29484
18 × 27846
21 × 23868
26 × 19278
27 × 18564
28 × 17901
34 × 14742
36 × 13923
39 × 12852
42 × 11934
51 × 9828
52 × 9639
54 × 9282
63 × 7956
68 × 7371
78 × 6426
81 × 6188
84 × 5967
91 × 5508
102 × 4914
108 × 4641
117 × 4284
119 × 4212
126 × 3978
153 × 3276
156 × 3213
162 × 3094
182 × 2754
189 × 2652
204 × 2457
221 × 2268
234 × 2142
238 × 2106
252 × 1989
273 × 1836
306 × 1638
324 × 1547
351 × 1428
357 × 1404
364 × 1377
378 × 1326
442 × 1134
459 × 1092
468 × 1071
476 × 1053
546 × 918
567 × 884
612 × 819
663 × 756
702 × 714
First multiples
501,228 · 1,002,456 (double) · 1,503,684 · 2,004,912 · 2,506,140 · 3,007,368 · 3,508,596 · 4,009,824 · 4,511,052 · 5,012,280

Sums & aliquot sequence

As consecutive integers: 167,075 + 167,076 + 167,077 71,601 + 71,602 + … + 71,607 62,650 + 62,651 + … + 62,657 55,688 + 55,689 + … + 55,696
Aliquot sequence: 501,228 1,206,324 2,279,340 6,037,332 10,464,300 30,699,732 51,166,444 55,617,044 55,617,100 100,372,916 106,850,380 174,281,828 188,074,012 188,074,068 355,971,756 593,286,484 593,286,540 — unresolved within range

Continued fraction of √n

√501,228 = [707; (1, 38, 3, 156, 1, 352, 1, 156, 3, 38, 1, 1414)]

Period length 12 — the block in parentheses repeats forever.

Representations

In words
five hundred one thousand two hundred twenty-eight
Ordinal
501228th
Binary
1111010010111101100
Octal
1722754
Hexadecimal
0x7A5EC
Base64
B6Xs
One's complement
4,294,466,067 (32-bit)
Scientific notation
5.01228 × 10⁵
As a duration
501,228 s = 5 days, 19 hours, 13 minutes, 48 seconds
In other bases
ternary (3) 221110120000
quaternary (4) 1322113230
quinary (5) 112014403
senary (6) 14424300
septenary (7) 4155210
nonary (9) 843500
undecimal (11) 312642
duodecimal (12) 202090
tridecimal (13) 1471b0
tetradecimal (14) d0940
pentadecimal (15) 9d7a3

As an angle

501,228° = 1,392 × 360° + 108°
108° ≈ 1.885 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓆼𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵φασκηʹ
Chinese
五十萬一千二百二十八
Chinese (financial)
伍拾萬壹仟貳佰貳拾捌
In other modern scripts
Eastern Arabic ٥٠١٢٢٨ Devanagari ५०१२२८ Bengali ৫০১২২৮ Tamil ௫௦௧௨௨௮ Thai ๕๐๑๒๒๘ Tibetan ༥༠༡༢༢༨ Khmer ៥០១២២៨ Lao ໕໐໑໒໒໘ Burmese ၅၀၁၂၂၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 501228, here are decompositions:

  • 5 + 501223 = 501228
  • 11 + 501217 = 501228
  • 19 + 501209 = 501228
  • 31 + 501197 = 501228
  • 37 + 501191 = 501228
  • 41 + 501187 = 501228
  • 71 + 501157 = 501228
  • 89 + 501139 = 501228

Showing the first eight; more decompositions exist.

Hex color
#07A5EC
RGB(7, 165, 236)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.165.236.

Address
0.7.165.236
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.165.236

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 501,228 and was likely granted around 1893.

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

Position in π

The digit sequence 501228 first appears in π at position 132,997 of the decimal expansion (the 132,997ordinal-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°.