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167,424

167,424 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.).

167,424 (one hundred sixty-seven thousand four hundred twenty-four) is an even 6-digit number. It is a composite number with 40 divisors, and factors as 2⁹ × 3 × 109. Its proper divisors sum to 282,696, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x28E00.

Abundant Number Arithmetic 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
424,761
Recamán's sequence
a(54,008) = 167,424
Square (n²)
28,030,795,776
Cube (n³)
4,693,027,952,001,024
Divisor count
40
σ(n) — sum of divisors
450,120
φ(n) — Euler's totient
55,296
Sum of prime factors
130

Primality

Prime factorization: 2 9 × 3 × 109

Nearest primes: 167,423 (−1) · 167,429 (+5)

Divisors & multiples

All divisors (40)
1 · 2 · 3 · 4 · 6 · 8 · 12 · 16 · 24 · 32 · 48 · 64 · 96 · 109 · 128 · 192 · 218 · 256 · 327 · 384 · 436 · 512 · 654 · 768 · 872 · 1308 · 1536 · 1744 · 2616 · 3488 · 5232 · 6976 · 10464 · 13952 · 20928 · 27904 · 41856 · 55808 · 83712 (half) · 167424
Aliquot sum (sum of proper divisors): 282,696
Factor pairs (a × b = 167,424)
1 × 167424
2 × 83712
3 × 55808
4 × 41856
6 × 27904
8 × 20928
12 × 13952
16 × 10464
24 × 6976
32 × 5232
48 × 3488
64 × 2616
96 × 1744
109 × 1536
128 × 1308
192 × 872
218 × 768
256 × 654
327 × 512
384 × 436
First multiples
167,424 · 334,848 (double) · 502,272 · 669,696 · 837,120 · 1,004,544 · 1,171,968 · 1,339,392 · 1,506,816 · 1,674,240

Sums & aliquot sequence

As consecutive integers: 55,807 + 55,808 + 55,809 1,482 + 1,483 + … + 1,590 349 + 350 + … + 675
Aliquot sequence: 167,424 282,696 424,104 664,536 996,864 1,949,376 4,195,392 6,905,424 11,030,928 17,836,272 32,080,920 64,162,200 134,742,480 284,159,280 596,735,232 1,015,293,984 1,722,998,496 — unresolved within range

Continued fraction of √n

√167,424 = [409; (5, 1, 2, 1, 1, 2, 3, 1, 8, 1, 1, 1, 2, 1, 3, 12, 1, 1, 13, 8, 2, 1, 3, 7, …)]

Representations

In words
one hundred sixty-seven thousand four hundred twenty-four
Ordinal
167424th
Binary
101000111000000000
Octal
507000
Hexadecimal
0x28E00
Base64
Ao4A
One's complement
4,294,799,871 (32-bit)
Scientific notation
1.67424 × 10⁵
As a duration
167,424 s = 1 day, 22 hours, 30 minutes, 24 seconds
In other bases
ternary (3) 22111122220
quaternary (4) 220320000
quinary (5) 20324144
senary (6) 3331040
septenary (7) 1265055
nonary (9) 274586
undecimal (11) 104874
duodecimal (12) 80a80
tridecimal (13) 5b28a
tetradecimal (14) 4502c
pentadecimal (15) 34919

As an angle

167,424° = 465 × 360° + 24°
24° ≈ 0.419 rad
Compass bearing: NNE (north-northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρξζυκδʹ
Chinese
一十六萬七千四百二十四
Chinese (financial)
壹拾陸萬柒仟肆佰貳拾肆
In other modern scripts
Eastern Arabic ١٦٧٤٢٤ Devanagari १६७४२४ Bengali ১৬৭৪২৪ Tamil ௧௬௭௪௨௪ Thai ๑๖๗๔๒๔ Tibetan ༡༦༧༤༢༤ Khmer ១៦៧៤២៤ Lao ໑໖໗໔໒໔ Burmese ၁၆၇၄၂၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 167424, here are decompositions:

  • 11 + 167413 = 167424
  • 17 + 167407 = 167424
  • 31 + 167393 = 167424
  • 43 + 167381 = 167424
  • 83 + 167341 = 167424
  • 107 + 167317 = 167424
  • 113 + 167311 = 167424
  • 157 + 167267 = 167424

Showing the first eight; more decompositions exist.

Unicode codepoint
𨸀
CJK Unified Ideograph-28E00
U+28E00
Other letter (Lo)

UTF-8 encoding: F0 A8 B8 80 (4 bytes).

Hex color
#028E00
RGB(2, 142, 0)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.142.0.

Address
0.2.142.0
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.142.0

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 167,424 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 167424 first appears in π at position 220,846 of the decimal expansion (the 220,846ordinal-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°.