number.wiki
Live analysis

167,472

167,472 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.).

167,472 (one hundred sixty-seven thousand four hundred seventy-two) is an even 6-digit number. It is a composite number with 30 divisors, and factors as 2⁴ × 3² × 1,163. Its proper divisors sum to 301,620, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x28E30.

Abundant Number Gapful Number Odious Number Pernicious Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
27
Digit product
2,352
Digital root
9
Palindrome
No
Bit width
18 bits
Reversed
274,761
Recamán's sequence
a(53,912) = 167,472
Square (n²)
28,046,870,784
Cube (n³)
4,697,065,543,938,048
Divisor count
30
σ(n) — sum of divisors
469,092
φ(n) — Euler's totient
55,776
Sum of prime factors
1,177

Primality

Prime factorization: 2 4 × 3 2 × 1163

Nearest primes: 167,471 (−1) · 167,483 (+11)

Divisors & multiples

All divisors (30)
1 · 2 · 3 · 4 · 6 · 8 · 9 · 12 · 16 · 18 · 24 · 36 · 48 · 72 · 144 · 1163 · 2326 · 3489 · 4652 · 6978 · 9304 · 10467 · 13956 · 18608 · 20934 · 27912 · 41868 · 55824 · 83736 (half) · 167472
Aliquot sum (sum of proper divisors): 301,620
Factor pairs (a × b = 167,472)
1 × 167472
2 × 83736
3 × 55824
4 × 41868
6 × 27912
8 × 20934
9 × 18608
12 × 13956
16 × 10467
18 × 9304
24 × 6978
36 × 4652
48 × 3489
72 × 2326
144 × 1163
First multiples
167,472 · 334,944 (double) · 502,416 · 669,888 · 837,360 · 1,004,832 · 1,172,304 · 1,339,776 · 1,507,248 · 1,674,720

Sums & aliquot sequence

As consecutive integers: 55,823 + 55,824 + 55,825 18,604 + 18,605 + … + 18,612 5,218 + 5,219 + … + 5,249 1,697 + 1,698 + … + 1,792
Aliquot sequence: 167,472 301,620 621,708 845,940 1,629,708 2,231,604 3,554,316 5,430,296 4,802,944 4,866,656 4,714,636 3,535,984 3,536,976 5,898,928 7,592,272 7,593,264 18,436,816 — unresolved within range

Continued fraction of √n

√167,472 = [409; (4, 3, 1, 1, 10, 1, 24, 1, 1, 1, 34, 1, 12, 51, 12, 1, 34, 1, 1, 1, 24, 1, 10, 1, …)]

Period length 28 — the block in parentheses repeats forever.

Representations

In words
one hundred sixty-seven thousand four hundred seventy-two
Ordinal
167472nd
Binary
101000111000110000
Octal
507060
Hexadecimal
0x28E30
Base64
Ao4w
One's complement
4,294,799,823 (32-bit)
Scientific notation
1.67472 × 10⁵
As a duration
167,472 s = 1 day, 22 hours, 31 minutes, 12 seconds
In other bases
ternary (3) 22111201200
quaternary (4) 220320300
quinary (5) 20324342
senary (6) 3331200
septenary (7) 1265154
nonary (9) 274650
undecimal (11) 104908
duodecimal (12) 80b00
tridecimal (13) 5b2c6
tetradecimal (14) 45064
pentadecimal (15) 3494c

As an angle

167,472° = 465 × 360° + 72°
72° ≈ 1.257 rad
Compass bearing: ENE (east-northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρξζυοβʹ
Chinese
一十六萬七千四百七十二
Chinese (financial)
壹拾陸萬柒仟肆佰柒拾貳
In other modern scripts
Eastern Arabic ١٦٧٤٧٢ Devanagari १६७४७२ Bengali ১৬৭৪৭২ Tamil ௧௬௭௪௭௨ Thai ๑๖๗๔๗๒ Tibetan ༡༦༧༤༧༢ Khmer ១៦៧៤៧២ Lao ໑໖໗໔໗໒ Burmese ၁၆၇၄၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 167472, here are decompositions:

  • 23 + 167449 = 167472
  • 29 + 167443 = 167472
  • 31 + 167441 = 167472
  • 43 + 167429 = 167472
  • 59 + 167413 = 167472
  • 79 + 167393 = 167472
  • 131 + 167341 = 167472
  • 163 + 167309 = 167472

Showing the first eight; more decompositions exist.

Unicode codepoint
𨸰
CJK Unified Ideograph-28E30
U+28E30
Other letter (Lo)

UTF-8 encoding: F0 A8 B8 B0 (4 bytes).

Hex color
#028E30
RGB(2, 142, 48)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.142.48.

Address
0.2.142.48
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.142.48

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 167,472 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 167472 first appears in π at position 755,166 of the decimal expansion (the 755,166ordinal-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°.