Live analysis

172,320

172,320 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.).

172,320 (one hundred seventy-two thousand three hundred twenty) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2⁵ × 3 × 5 × 359. Its proper divisors sum to 372,000, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x2A120.

Abundant Number Arithmetic Number Gapful Number Harshad / Niven Octagonal Odious Number Pernicious Number Practical Number Recamán's Sequence Refactorable Number Self Number Semiperfect Number

Interestingness

★ ★ ★ ★ ★

9 notable facts · grade A

172,308 172,309 172,310 172,311 172,312 172,313 172,314 172,315 172,316 172,317 172,318 172,319 172,320 172,321 172,322 172,323 172,324 172,325 172,326 172,327 172,328 172,329 172,330 172,331 172,332

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 15
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 18 bits
Reversed: 23,271
Recamán's sequence: a(191,124) = 172,320
Square (n²): 29,694,182,400
Cube (n³): 5,116,901,511,168,000
Divisor count: 48
σ(n) — sum of divisors: 544,320
φ(n) — Euler's totient: 45,824
Sum of prime factors: 377

Primality

Prime factorization: 2 ⁵ × 3 × 5 × 359

Nearest primes: 172,313 (−7) · 172,321 (+1)

Divisors & multiples

All divisors (48)

1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 15 · 16 · 20 · 24 · 30 · 32 · 40 · 48 · 60 · 80 · 96 · 120 · 160 · 240 · 359 · 480 · 718 · 1077 · 1436 · 1795 · 2154 · 2872 · 3590 · 4308 · 5385 · 5744 · 7180 · 8616 · 10770 · 11488 · 14360 · 17232 · 21540 · 28720 · 34464 · 43080 · 57440 · 86160 (half) · 172320

Aliquot sum (sum of proper divisors): 372,000

Factor pairs (a × b = 172,320)

1 × 172320

2 × 86160

3 × 57440

4 × 43080

5 × 34464

6 × 28720

8 × 21540

10 × 17232

12 × 14360

15 × 11488

16 × 10770

20 × 8616

24 × 7180

30 × 5744

32 × 5385

40 × 4308

48 × 3590

60 × 2872

80 × 2154

96 × 1795

120 × 1436

160 × 1077

240 × 718

359 × 480

First multiples

172,320 · 344,640 (double) · 516,960 · 689,280 · 861,600 · 1,033,920 · 1,206,240 · 1,378,560 · 1,550,880 · 1,723,200

Sums & aliquot sequence

As consecutive integers: 57,439 + 57,440 + 57,441 34,462 + 34,463 + 34,464 + 34,465 + 34,466 11,481 + 11,482 + … + 11,495 2,661 + 2,662 + … + 2,724

Aliquot sequence: 172,320 → 372,000 → 885,984 → 1,654,176 → 2,688,288 → 4,551,168 → 7,577,520 → 15,913,536 → 26,191,536 → 51,136,848 → 114,422,000 → 230,984,464 → 219,053,696 → 227,502,304 → 240,854,816 → 240,409,744 → 225,842,780 — unresolved within range

Continued fraction of √n

√172,320 = [415; (8, 1, 2, 1, 4, 2, 11, 4, 6, 1, 2, 1, 2, 1, 2, 1, 2, 1, 6, 4, 11, 2, 4, 1, …)]

Period length 28 — the block in parentheses repeats forever.

Representations

In words: one hundred seventy-two thousand three hundred twenty
Ordinal: 172320th
Binary: 101010000100100000
Octal: 520440
Hexadecimal: 0x2A120
Base64: AqEg
One's complement: 4,294,794,975 (32-bit)
Scientific notation: 1.7232 × 10⁵
As a duration: 172,320 s = 1 day, 23 hours, 52 minutes

In other bases

ternary (3) 22202101020

quaternary (4) 222010200

quinary (5) 21003240

senary (6) 3405440

septenary (7) 1315251

nonary (9) 282336

undecimal (11) 108515

duodecimal (12) 83880

tridecimal (13) 60585

tetradecimal (14) 46b28

pentadecimal (15) 360d0

As an angle

172,320° = 478 × 360° + 240°

240° ≈ 4.189 rad

Compass bearing: WSW (west-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹 ·
Egyptian hieroglyphic: 𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓎆𓎆
Greek (Milesian): ͵ροβτκʹ
Chinese: 一十七萬二千三百二十
Chinese (financial): 壹拾柒萬貳仟參佰貳拾

In other modern scripts

Eastern Arabic ١٧٢٣٢٠ Devanagari १७२३२० Bengali ১৭২৩২০ Tamil ௧௭௨௩௨௦ Thai ๑๗๒๓๒๐ Tibetan ༡༧༢༣༢༠ Khmer ១៧២៣២០ Lao ໑໗໒໓໒໐ Burmese ၁၇၂၃၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 172320, here are decompositions:

7 + 172313 = 172320
13 + 172307 = 172320
23 + 172297 = 172320
37 + 172283 = 172320
41 + 172279 = 172320
61 + 172259 = 172320
97 + 172223 = 172320
101 + 172219 = 172320

Showing the first eight; more decompositions exist.

Unicode codepoint

𪄠

CJK Unified Ideograph-2A120

U+2A120

Other letter (Lo)

UTF-8 encoding: F0 AA 84 A0 (4 bytes).

Lookup U+2A120 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#02A120

RGB(2, 161, 32)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.161.32.

Address: 0.2.161.32
Class: reserved
IPv4-mapped IPv6: ::ffff:0.2.161.32

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 172,320 and was likely granted around 1874.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Look up US172,320 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 172320 first appears in π at position 49,519 of the decimal expansion (the 49,519ordinal-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.

Look up 172320 on Pi Search ↗