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474,672

474,672 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.).

474,672 (four hundred seventy-four thousand six hundred seventy-two) is an even 6-digit number. It is a composite number with 80 divisors, and factors as 2⁴ × 3 × 11 × 29 × 31. Its proper divisors sum to 953,808, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x73E30.

Abundant Number Arithmetic Number Evil Number Practical Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
30
Digit product
9,408
Digital root
3
Palindrome
No
Bit width
19 bits
Reversed
276,474
Square (n²)
225,313,507,584
Cube (n³)
106,950,013,271,912,448
Divisor count
80
σ(n) — sum of divisors
1,428,480
φ(n) — Euler's totient
134,400
Sum of prime factors
82

Primality

Prime factorization: 2 4 × 3 × 11 × 29 × 31

Nearest primes: 474,671 (−1) · 474,707 (+35)

Divisors & multiples

All divisors (80)
1 · 2 · 3 · 4 · 6 · 8 · 11 · 12 · 16 · 22 · 24 · 29 · 31 · 33 · 44 · 48 · 58 · 62 · 66 · 87 · 88 · 93 · 116 · 124 · 132 · 174 · 176 · 186 · 232 · 248 · 264 · 319 · 341 · 348 · 372 · 464 · 496 · 528 · 638 · 682 · 696 · 744 · 899 · 957 · 1023 · 1276 · 1364 · 1392 · 1488 · 1798 · 1914 · 2046 · 2552 · 2697 · 2728 · 3596 · 3828 · 4092 · 5104 · 5394 · 5456 · 7192 · 7656 · 8184 · 9889 · 10788 · 14384 · 15312 · 16368 · 19778 · 21576 · 29667 · 39556 · 43152 · 59334 · 79112 · 118668 · 158224 · 237336 (half) · 474672
Aliquot sum (sum of proper divisors): 953,808
Factor pairs (a × b = 474,672)
1 × 474672
2 × 237336
3 × 158224
4 × 118668
6 × 79112
8 × 59334
11 × 43152
12 × 39556
16 × 29667
22 × 21576
24 × 19778
29 × 16368
31 × 15312
33 × 14384
44 × 10788
48 × 9889
58 × 8184
62 × 7656
66 × 7192
87 × 5456
88 × 5394
93 × 5104
116 × 4092
124 × 3828
132 × 3596
174 × 2728
176 × 2697
186 × 2552
232 × 2046
248 × 1914
264 × 1798
319 × 1488
341 × 1392
348 × 1364
372 × 1276
464 × 1023
496 × 957
528 × 899
638 × 744
682 × 696
First multiples
474,672 · 949,344 (double) · 1,424,016 · 1,898,688 · 2,373,360 · 2,848,032 · 3,322,704 · 3,797,376 · 4,272,048 · 4,746,720

Sums & aliquot sequence

As consecutive integers: 158,223 + 158,224 + 158,225 43,147 + 43,148 + … + 43,157 16,354 + 16,355 + … + 16,382 15,297 + 15,298 + … + 15,327
Aliquot sequence: 474,672 953,808 1,593,648 4,120,272 8,878,896 21,369,168 40,376,880 106,947,024 185,367,600 543,823,824 906,377,008 985,216,208 985,217,200 1,694,381,384 1,643,111,476 1,325,090,124 2,110,328,996 — unresolved within range

Continued fraction of √n

√474,672 = [688; (1, 27, 8, 4, 1, 1, 1, 4, 8, 27, 1, 1376)]

Period length 12 — the block in parentheses repeats forever.

Representations

In words
four hundred seventy-four thousand six hundred seventy-two
Ordinal
474672nd
Binary
1110011111000110000
Octal
1637060
Hexadecimal
0x73E30
Base64
Bz4w
One's complement
4,294,492,623 (32-bit)
Scientific notation
4.74672 × 10⁵
As a duration
474,672 s = 5 days, 11 hours, 51 minutes, 12 seconds
In other bases
ternary (3) 220010010110
quaternary (4) 1303320300
quinary (5) 110142142
senary (6) 14101320
septenary (7) 4014612
nonary (9) 803113
undecimal (11) 2a46a0
duodecimal (12) 1aa840
tridecimal (13) 138093
tetradecimal (14) c4db2
pentadecimal (15) 9599c

As an angle

474,672° = 1,318 × 360° + 192°
192° ≈ 3.351 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒁹 𒌋𒌋𒌋𒌋𒌋𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵υοδχοβʹ
Chinese
四十七萬四千六百七十二
Chinese (financial)
肆拾柒萬肆仟陸佰柒拾貳
In other modern scripts
Eastern Arabic ٤٧٤٦٧٢ Devanagari ४७४६७२ Bengali ৪৭৪৬৭২ Tamil ௪௭௪௬௭௨ Thai ๔๗๔๖๗๒ Tibetan ༤༧༤༦༧༢ Khmer ៤៧៤៦៧២ Lao ໔໗໔໖໗໒ Burmese ၄၇၄၆၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 474672, here are decompositions:

  • 5 + 474667 = 474672
  • 13 + 474659 = 474672
  • 43 + 474629 = 474672
  • 53 + 474619 = 474672
  • 89 + 474583 = 474672
  • 101 + 474571 = 474672
  • 103 + 474569 = 474672
  • 131 + 474541 = 474672

Showing the first eight; more decompositions exist.

Hex color
#073E30
RGB(7, 62, 48)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.62.48.

Address
0.7.62.48
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.62.48

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 474,672 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 474672 first appears in π at position 122,828 of the decimal expansion (the 122,828ordinal-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°.