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474,474

474,474 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.).

474,474 (four hundred seventy-four thousand four hundred seventy-four) is an even 6-digit number. It is a composite number with 64 divisors, and factors as 2 × 3 × 7 × 11 × 13 × 79. Its proper divisors sum to 815,766, more than the number itself, making it an abundant number. Its digits read the same forwards and backwards, so it is a palindromic number. Written other ways, in hexadecimal, 0x73D6A.

Abundant Number Arithmetic Number Cube-Free Evil Number Palindrome Practical Number Semiperfect Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
30
Digit product
12,544
Digital root
3
Palindrome
Yes
Bit width
19 bits
Square (n²)
225,125,576,676
Cube (n³)
106,816,232,867,768,424
Divisor count
64
σ(n) — sum of divisors
1,290,240
φ(n) — Euler's totient
112,320
Sum of prime factors
115

Primality

Prime factorization: 2 × 3 × 7 × 11 × 13 × 79

Nearest primes: 474,443 (−31) · 474,479 (+5)

Divisors & multiples

All divisors (64)
1 · 2 · 3 · 6 · 7 · 11 · 13 · 14 · 21 · 22 · 26 · 33 · 39 · 42 · 66 · 77 · 78 · 79 · 91 · 143 · 154 · 158 · 182 · 231 · 237 · 273 · 286 · 429 · 462 · 474 · 546 · 553 · 858 · 869 · 1001 · 1027 · 1106 · 1659 · 1738 · 2002 · 2054 · 2607 · 3003 · 3081 · 3318 · 5214 · 6006 · 6083 · 6162 · 7189 · 11297 · 12166 · 14378 · 18249 · 21567 · 22594 · 33891 · 36498 · 43134 · 67782 · 79079 · 158158 · 237237 (half) · 474474
Aliquot sum (sum of proper divisors): 815,766
Factor pairs (a × b = 474,474)
1 × 474474
2 × 237237
3 × 158158
6 × 79079
7 × 67782
11 × 43134
13 × 36498
14 × 33891
21 × 22594
22 × 21567
26 × 18249
33 × 14378
39 × 12166
42 × 11297
66 × 7189
77 × 6162
78 × 6083
79 × 6006
91 × 5214
143 × 3318
154 × 3081
158 × 3003
182 × 2607
231 × 2054
237 × 2002
273 × 1738
286 × 1659
429 × 1106
462 × 1027
474 × 1001
546 × 869
553 × 858
First multiples
474,474 · 948,948 (double) · 1,423,422 · 1,897,896 · 2,372,370 · 2,846,844 · 3,321,318 · 3,795,792 · 4,270,266 · 4,744,740

Sums & aliquot sequence

As consecutive integers: 158,157 + 158,158 + 158,159 118,617 + 118,618 + 118,619 + 118,620 67,779 + 67,780 + … + 67,785 43,129 + 43,130 + … + 43,139
Aliquot sequence: 474,474 815,766 1,048,938 1,342,614 1,963,626 2,605,494 2,605,506 2,631,198 2,631,210 3,727,830 5,270,154 5,270,166 7,496,874 13,481,622 23,718,762 27,948,438 41,257,530 — unresolved within range

Continued fraction of √n

√474,474 = [688; (1, 4, 1, 1, 2, 1, 2, 3, 2, 4, 3, 62, 3, 4, 2, 3, 2, 1, 2, 1, 1, 4, 1, 1376)]

Period length 24 — the block in parentheses repeats forever.

Representations

In words
four hundred seventy-four thousand four hundred seventy-four
Ordinal
474474th
Binary
1110011110101101010
Octal
1636552
Hexadecimal
0x73D6A
Base64
Bz1q
One's complement
4,294,492,821 (32-bit)
Scientific notation
4.74474 × 10⁵
As a duration
474,474 s = 5 days, 11 hours, 47 minutes, 54 seconds
In other bases
ternary (3) 220002212010
quaternary (4) 1303311222
quinary (5) 110140344
senary (6) 14100350
septenary (7) 4014210
nonary (9) 802763
undecimal (11) 2a4530
duodecimal (12) 1aa6b6
tridecimal (13) 137c70
tetradecimal (14) c4cb0
pentadecimal (15) 958b9

As an angle

474,474° = 1,317 × 360° + 354°
354° ≈ 6.178 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵υοδυοδʹ
Chinese
四十七萬四千四百七十四
Chinese (financial)
肆拾柒萬肆仟肆佰柒拾肆
In other modern scripts
Eastern Arabic ٤٧٤٤٧٤ Devanagari ४७४४७४ Bengali ৪৭৪৪৭৪ Tamil ௪௭௪௪௭௪ Thai ๔๗๔๔๗๔ Tibetan ༤༧༤༤༧༤ Khmer ៤៧៤៤៧៤ Lao ໔໗໔໔໗໔ Burmese ၄၇၄၄၇၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 474474, here are decompositions:

  • 31 + 474443 = 474474
  • 37 + 474437 = 474474
  • 41 + 474433 = 474474
  • 61 + 474413 = 474474
  • 83 + 474391 = 474474
  • 127 + 474347 = 474474
  • 131 + 474343 = 474474
  • 137 + 474337 = 474474

Showing the first eight; more decompositions exist.

Hex color
#073D6A
RGB(7, 61, 106)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.61.106.

Address
0.7.61.106
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.61.106

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 474,474 and was likely granted around 1892.

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

Position in π

The digit sequence 474474 first appears in π at position 654,581 of the decimal expansion (the 654,581ordinal-suffix:st 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°.