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172,872

172,872 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.).

172,872 (one hundred seventy-two thousand eight hundred seventy-two) is an even 6-digit number. It is a composite number with 60 divisors, and factors as 2³ × 3² × 7⁴. Its proper divisors sum to 373,323, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x2A348.

Abundant Number Achilles Number Gapful Number Odious Number Pernicious Number Powerful Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
27
Digit product
1,568
Digital root
9
Palindrome
No
Bit width
18 bits
Reversed
278,271
Square (n²)
29,884,728,384
Cube (n³)
5,166,232,765,198,848
Divisor count
60
σ(n) — sum of divisors
546,195
φ(n) — Euler's totient
49,392
Sum of prime factors
40

Primality

Prime factorization: 2 3 × 3 2 × 7 4

Nearest primes: 172,871 (−1) · 172,877 (+5)

Divisors & multiples

All divisors (60)
1 · 2 · 3 · 4 · 6 · 7 · 8 · 9 · 12 · 14 · 18 · 21 · 24 · 28 · 36 · 42 · 49 · 56 · 63 · 72 · 84 · 98 · 126 · 147 · 168 · 196 · 252 · 294 · 343 · 392 · 441 · 504 · 588 · 686 · 882 · 1029 · 1176 · 1372 · 1764 · 2058 · 2401 · 2744 · 3087 · 3528 · 4116 · 4802 · 6174 · 7203 · 8232 · 9604 · 12348 · 14406 · 19208 · 21609 · 24696 · 28812 · 43218 · 57624 · 86436 (half) · 172872
Aliquot sum (sum of proper divisors): 373,323
Factor pairs (a × b = 172,872)
1 × 172872
2 × 86436
3 × 57624
4 × 43218
6 × 28812
7 × 24696
8 × 21609
9 × 19208
12 × 14406
14 × 12348
18 × 9604
21 × 8232
24 × 7203
28 × 6174
36 × 4802
42 × 4116
49 × 3528
56 × 3087
63 × 2744
72 × 2401
84 × 2058
98 × 1764
126 × 1372
147 × 1176
168 × 1029
196 × 882
252 × 686
294 × 588
343 × 504
392 × 441
First multiples
172,872 · 345,744 (double) · 518,616 · 691,488 · 864,360 · 1,037,232 · 1,210,104 · 1,382,976 · 1,555,848 · 1,728,720

Sums & aliquot sequence

As a sum of two squares: 294² + 294²
As consecutive integers: 57,623 + 57,624 + 57,625 24,693 + 24,694 + … + 24,699 19,204 + 19,205 + … + 19,212 10,797 + 10,798 + … + 10,812
Aliquot sequence: 172,872 373,323 129,525 105,579 46,937 7,495 1,505 607 1 0 — terminates at zero

Continued fraction of √n

√172,872 = [415; (1, 3, 1, 1, 11, 1, 2, 16, 1, 1, 1, 2, 4, 1, 1, 1, 1, 10, 1, 16, 17, 1, 1, 1, …)]

Representations

In words
one hundred seventy-two thousand eight hundred seventy-two
Ordinal
172872nd
Binary
101010001101001000
Octal
521510
Hexadecimal
0x2A348
Base64
AqNI
One's complement
4,294,794,423 (32-bit)
Scientific notation
1.72872 × 10⁵
As a duration
172,872 s = 2 days, 1 minute, 12 seconds
In other bases
ternary (3) 22210010200
quaternary (4) 222031020
quinary (5) 21012442
senary (6) 3412200
septenary (7) 1320000
nonary (9) 283120
undecimal (11) 108977
duodecimal (12) 84060
tridecimal (13) 608bb
tetradecimal (14) 47000
pentadecimal (15) 3634c

As an angle

172,872° = 480 × 360° + 72°
72° ≈ 1.257 rad
Compass bearing: ENE (east-northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ροβωοβʹ
Chinese
一十七萬二千八百七十二
Chinese (financial)
壹拾柒萬貳仟捌佰柒拾貳
In other modern scripts
Eastern Arabic ١٧٢٨٧٢ Devanagari १७२८७२ Bengali ১৭২৮৭২ Tamil ௧௭௨௮௭௨ Thai ๑๗๒๘๗๒ Tibetan ༡༧༢༨༧༢ Khmer ១៧២៨៧២ Lao ໑໗໒໘໗໒ Burmese ၁၇၂၈၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 172872, here are decompositions:

  • 5 + 172867 = 172872
  • 13 + 172859 = 172872
  • 19 + 172853 = 172872
  • 23 + 172849 = 172872
  • 43 + 172829 = 172872
  • 71 + 172801 = 172872
  • 113 + 172759 = 172872
  • 131 + 172741 = 172872

Showing the first eight; more decompositions exist.

Unicode codepoint
𪍈
CJK Unified Ideograph-2A348
U+2A348
Other letter (Lo)

UTF-8 encoding: F0 AA 8D 88 (4 bytes).

Hex color
#02A348
RGB(2, 163, 72)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.163.72.

Address
0.2.163.72
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.163.72

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 172,872 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 172872 first appears in π at position 112,810 of the decimal expansion (the 112,810ordinal-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°.