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164,472

164,472 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.).

164,472 (one hundred sixty-four thousand four hundred seventy-two) is an even 6-digit number. It is a composite number with 64 divisors, and factors as 2³ × 3 × 7 × 11 × 89. Its proper divisors sum to 353,928, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x28278.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
24
Digit product
1,344
Digital root
6
Palindrome
No
Bit width
18 bits
Reversed
274,461
Recamán's sequence
a(473,071) = 164,472
Square (n²)
27,051,038,784
Cube (n³)
4,449,138,450,882,048
Divisor count
64
σ(n) — sum of divisors
518,400
φ(n) — Euler's totient
42,240
Sum of prime factors
116

Primality

Prime factorization: 2 3 × 3 × 7 × 11 × 89

Nearest primes: 164,471 (−1) · 164,477 (+5)

Divisors & multiples

All divisors (64)
1 · 2 · 3 · 4 · 6 · 7 · 8 · 11 · 12 · 14 · 21 · 22 · 24 · 28 · 33 · 42 · 44 · 56 · 66 · 77 · 84 · 88 · 89 · 132 · 154 · 168 · 178 · 231 · 264 · 267 · 308 · 356 · 462 · 534 · 616 · 623 · 712 · 924 · 979 · 1068 · 1246 · 1848 · 1869 · 1958 · 2136 · 2492 · 2937 · 3738 · 3916 · 4984 · 5874 · 6853 · 7476 · 7832 · 11748 · 13706 · 14952 · 20559 · 23496 · 27412 · 41118 · 54824 · 82236 (half) · 164472
Aliquot sum (sum of proper divisors): 353,928
Factor pairs (a × b = 164,472)
1 × 164472
2 × 82236
3 × 54824
4 × 41118
6 × 27412
7 × 23496
8 × 20559
11 × 14952
12 × 13706
14 × 11748
21 × 7832
22 × 7476
24 × 6853
28 × 5874
33 × 4984
42 × 3916
44 × 3738
56 × 2937
66 × 2492
77 × 2136
84 × 1958
88 × 1869
89 × 1848
132 × 1246
154 × 1068
168 × 979
178 × 924
231 × 712
264 × 623
267 × 616
308 × 534
356 × 462
First multiples
164,472 · 328,944 (double) · 493,416 · 657,888 · 822,360 · 986,832 · 1,151,304 · 1,315,776 · 1,480,248 · 1,644,720

Sums & aliquot sequence

As consecutive integers: 54,823 + 54,824 + 54,825 23,493 + 23,494 + … + 23,499 14,947 + 14,948 + … + 14,957 10,272 + 10,273 + … + 10,287
Aliquot sequence: 164,472 353,928 530,952 796,488 1,691,832 2,574,168 3,901,032 6,664,458 6,664,470 9,330,330 14,242,470 23,047,770 32,266,950 48,687,690 75,181,110 106,183,722 106,400,598 — unresolved within range

Continued fraction of √n

√164,472 = [405; (1, 1, 4, 2, 1, 4, 9, 9, 9, 4, 1, 2, 4, 1, 1, 810)]

Period length 16 — the block in parentheses repeats forever.

Representations

In words
one hundred sixty-four thousand four hundred seventy-two
Ordinal
164472nd
Binary
101000001001111000
Octal
501170
Hexadecimal
0x28278
Base64
AoJ4
One's complement
4,294,802,823 (32-bit)
Scientific notation
1.64472 × 10⁵
As a duration
164,472 s = 1 day, 21 hours, 41 minutes, 12 seconds
In other bases
ternary (3) 22100121120
quaternary (4) 220021320
quinary (5) 20230342
senary (6) 3305240
septenary (7) 1253340
nonary (9) 270546
undecimal (11) 102630
duodecimal (12) 7b220
tridecimal (13) 59b29
tetradecimal (14) 43d20
pentadecimal (15) 33aec

As an angle

164,472° = 456 × 360° + 312°
312° ≈ 5.445 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρξδυοβʹ
Chinese
一十六萬四千四百七十二
Chinese (financial)
壹拾陸萬肆仟肆佰柒拾貳
In other modern scripts
Eastern Arabic ١٦٤٤٧٢ Devanagari १६४४७२ Bengali ১৬৪৪৭২ Tamil ௧௬௪௪௭௨ Thai ๑๖๔๔๗๒ Tibetan ༡༦༤༤༧༢ Khmer ១៦៤៤៧២ Lao ໑໖໔໔໗໒ Burmese ၁၆၄၄၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 164472, here are decompositions:

  • 23 + 164449 = 164472
  • 29 + 164443 = 164472
  • 41 + 164431 = 164472
  • 43 + 164429 = 164472
  • 53 + 164419 = 164472
  • 59 + 164413 = 164472
  • 101 + 164371 = 164472
  • 109 + 164363 = 164472

Showing the first eight; more decompositions exist.

Unicode codepoint
𨉸
CJK Unified Ideograph-28278
U+28278
Other letter (Lo)

UTF-8 encoding: F0 A8 89 B8 (4 bytes).

Hex color
#028278
RGB(2, 130, 120)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.130.120.

Address
0.2.130.120
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.130.120

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 164,472 and was likely granted around 1874.

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

Position in π

The digit sequence 164472 first appears in π at position 300,828 of the decimal expansion (the 300,828ordinal-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°.