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172,464

172,464 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.).

172,464 (one hundred seventy-two thousand four hundred sixty-four) is an even 6-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 3 × 3,593. Its proper divisors sum to 273,192, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x2A1B0.

Abundant Number Harshad / Niven Odious Number Pernicious Number 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
464,271
Square (n²)
29,743,831,296
Cube (n³)
5,129,740,120,633,344
Divisor count
20
σ(n) — sum of divisors
445,656
φ(n) — Euler's totient
57,472
Sum of prime factors
3,604

Primality

Prime factorization: 2 4 × 3 × 3593

Nearest primes: 172,441 (−23) · 172,489 (+25)

Divisors & multiples

All divisors (20)
1 · 2 · 3 · 4 · 6 · 8 · 12 · 16 · 24 · 48 · 3593 · 7186 · 10779 · 14372 · 21558 · 28744 · 43116 · 57488 · 86232 (half) · 172464
Aliquot sum (sum of proper divisors): 273,192
Factor pairs (a × b = 172,464)
1 × 172464
2 × 86232
3 × 57488
4 × 43116
6 × 28744
8 × 21558
12 × 14372
16 × 10779
24 × 7186
48 × 3593
First multiples
172,464 · 344,928 (double) · 517,392 · 689,856 · 862,320 · 1,034,784 · 1,207,248 · 1,379,712 · 1,552,176 · 1,724,640

Sums & aliquot sequence

As consecutive integers: 57,487 + 57,488 + 57,489 5,374 + 5,375 + … + 5,405 1,749 + 1,750 + … + 1,844
Aliquot sequence: 172,464 273,192 409,848 614,832 973,608 1,488,792 2,593,608 4,015,992 6,553,608 9,830,472 16,028,088 24,042,192 39,394,224 71,330,832 128,976,288 257,954,592 551,025,888 — unresolved within range

Continued fraction of √n

√172,464 = [415; (3, 2, 9, 8, 2, 5, 3, 1, 7, 1, 54, 2, 17, 5, 1, 2, 25, 1, 1, 1, 1, 13, 1, 32, …)]

Representations

In words
one hundred seventy-two thousand four hundred sixty-four
Ordinal
172464th
Binary
101010000110110000
Octal
520660
Hexadecimal
0x2A1B0
Base64
AqGw
One's complement
4,294,794,831 (32-bit)
Scientific notation
1.72464 × 10⁵
As a duration
172,464 s = 1 day, 23 hours, 54 minutes, 24 seconds
In other bases
ternary (3) 22202120120
quaternary (4) 222012300
quinary (5) 21004324
senary (6) 3410240
septenary (7) 1315545
nonary (9) 282516
undecimal (11) 108636
duodecimal (12) 83980
tridecimal (13) 60666
tetradecimal (14) 46bcc
pentadecimal (15) 36179

As an angle

172,464° = 479 × 360° + 24°
24° ≈ 0.419 rad
Compass bearing: NNE (north-northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ροβυξδʹ
Chinese
一十七萬二千四百六十四
Chinese (financial)
壹拾柒萬貳仟肆佰陸拾肆
In other modern scripts
Eastern Arabic ١٧٢٤٦٤ Devanagari १७२४६४ Bengali ১৭২৪৬৪ Tamil ௧௭௨௪௬௪ Thai ๑๗๒๔๖๔ Tibetan ༡༧༢༤༦༤ Khmer ១៧២៤៦៤ Lao ໑໗໒໔໖໔ Burmese ၁၇၂၄၆၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 172464, here are decompositions:

  • 23 + 172441 = 172464
  • 31 + 172433 = 172464
  • 37 + 172427 = 172464
  • 41 + 172423 = 172464
  • 43 + 172421 = 172464
  • 53 + 172411 = 172464
  • 107 + 172357 = 172464
  • 113 + 172351 = 172464

Showing the first eight; more decompositions exist.

Unicode codepoint
𪆰
CJK Unified Ideograph-2A1B0
U+2A1B0
Other letter (Lo)

UTF-8 encoding: F0 AA 86 B0 (4 bytes).

Hex color
#02A1B0
RGB(2, 161, 176)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.161.176.

Address
0.2.161.176
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.161.176

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 172,464 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 172464 first appears in π at position 46,611 of the decimal expansion (the 46,611ordinal-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°.