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168,672

168,672 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.).

168,672 (one hundred sixty-eight thousand six hundred seventy-two) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2⁵ × 3 × 7 × 251. Its proper divisors sum to 339,360, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x292E0.

Abundant Number Arithmetic Number Gapful Number Happy Number Odious Number Pernicious Number Practical Number Refactorable Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
30
Digit product
4,032
Digital root
3
Palindrome
No
Bit width
18 bits
Reversed
276,861
Square (n²)
28,450,243,584
Cube (n³)
4,798,759,485,800,448
Divisor count
48
σ(n) — sum of divisors
508,032
φ(n) — Euler's totient
48,000
Sum of prime factors
271

Primality

Prime factorization: 2 5 × 3 × 7 × 251

Nearest primes: 168,643 (−29) · 168,673 (+1)

Divisors & multiples

All divisors (48)
1 · 2 · 3 · 4 · 6 · 7 · 8 · 12 · 14 · 16 · 21 · 24 · 28 · 32 · 42 · 48 · 56 · 84 · 96 · 112 · 168 · 224 · 251 · 336 · 502 · 672 · 753 · 1004 · 1506 · 1757 · 2008 · 3012 · 3514 · 4016 · 5271 · 6024 · 7028 · 8032 · 10542 · 12048 · 14056 · 21084 · 24096 · 28112 · 42168 · 56224 · 84336 (half) · 168672
Aliquot sum (sum of proper divisors): 339,360
Factor pairs (a × b = 168,672)
1 × 168672
2 × 84336
3 × 56224
4 × 42168
6 × 28112
7 × 24096
8 × 21084
12 × 14056
14 × 12048
16 × 10542
21 × 8032
24 × 7028
28 × 6024
32 × 5271
42 × 4016
48 × 3514
56 × 3012
84 × 2008
96 × 1757
112 × 1506
168 × 1004
224 × 753
251 × 672
336 × 502
First multiples
168,672 · 337,344 (double) · 506,016 · 674,688 · 843,360 · 1,012,032 · 1,180,704 · 1,349,376 · 1,518,048 · 1,686,720

Sums & aliquot sequence

As consecutive integers: 56,223 + 56,224 + 56,225 24,093 + 24,094 + … + 24,099 8,022 + 8,023 + … + 8,042 2,604 + 2,605 + … + 2,667
Aliquot sequence: 168,672 339,360 894,432 2,056,992 4,116,000 11,608,800 31,638,432 68,697,888 137,397,792 274,797,600 841,130,976 1,792,023,072 3,729,421,920 10,640,626,080 — keeps growing

Continued fraction of √n

√168,672 = [410; (1, 2, 3, 2, 1, 820)]

Period length 6 — the block in parentheses repeats forever.

Representations

In words
one hundred sixty-eight thousand six hundred seventy-two
Ordinal
168672nd
Binary
101001001011100000
Octal
511340
Hexadecimal
0x292E0
Base64
ApLg
One's complement
4,294,798,623 (32-bit)
Scientific notation
1.68672 × 10⁵
As a duration
168,672 s = 1 day, 22 hours, 51 minutes, 12 seconds
In other bases
ternary (3) 22120101010
quaternary (4) 221023200
quinary (5) 20344142
senary (6) 3340520
septenary (7) 1301520
nonary (9) 276333
undecimal (11) 1057a9
duodecimal (12) 81740
tridecimal (13) 5ba0a
tetradecimal (14) 45680
pentadecimal (15) 34e9c

As an angle

168,672° = 468 × 360° + 192°
192° ≈ 3.351 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρξηχοβʹ
Chinese
一十六萬八千六百七十二
Chinese (financial)
壹拾陸萬捌仟陸佰柒拾貳
In other modern scripts
Eastern Arabic ١٦٨٦٧٢ Devanagari १६८६७२ Bengali ১৬৮৬৭২ Tamil ௧௬௮௬௭௨ Thai ๑๖๘๖๗๒ Tibetan ༡༦༨༦༧༢ Khmer ១៦៨៦៧២ Lao ໑໖໘໖໗໒ Burmese ၁၆၈၆၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 168672, here are decompositions:

  • 29 + 168643 = 168672
  • 41 + 168631 = 168672
  • 43 + 168629 = 168672
  • 71 + 168601 = 168672
  • 73 + 168599 = 168672
  • 113 + 168559 = 168672
  • 131 + 168541 = 168672
  • 139 + 168533 = 168672

Showing the first eight; more decompositions exist.

Unicode codepoint
𩋠
CJK Unified Ideograph-292E0
U+292E0
Other letter (Lo)

UTF-8 encoding: F0 A9 8B A0 (4 bytes).

Hex color
#0292E0
RGB(2, 146, 224)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.146.224.

Address
0.2.146.224
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.146.224

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 168,672 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 168672 first appears in π at position 617,195 of the decimal expansion (the 617,195ordinal-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°.