Live analysis

13,572

13,572 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.).

13,572 (thirteen thousand five hundred seventy-two) is an even 5-digit number. It is a composite number with 36 divisors, and factors as 2² × 3² × 13 × 29. Its proper divisors sum to 24,648, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x3504.

Abundant Number Cube-Free Gapful Number Harshad / Niven Odious Number Pernicious Number Practical Number Pronic / Oblong Recamán's Sequence Refactorable Number Semiperfect Number

Interestingness

★ ★ ★ ★ ★

8 notable facts · grade A

13,560 13,561 13,562 13,563 13,564 13,565 13,566 13,567 13,568 13,569 13,570 13,571 13,572 13,573 13,574 13,575 13,576 13,577 13,578 13,579 13,580 13,581 13,582 13,583 13,584

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Properties

Parity: Even
Digit count: 5
Digit sum: 18
Digit product: 210
Digital root: 9
Palindrome: No
Bit width: 14 bits
Reversed: 27,531
Recamán's sequence: a(3,916) = 13,572
Square (n²): 184,199,184
Cube (n³): 2,499,951,325,248
Divisor count: 36
σ(n) — sum of divisors: 38,220
φ(n) — Euler's totient: 4,032
Sum of prime factors: 52

Primality

Prime factorization: 2 ² × 3 ² × 13 × 29

Nearest primes: 13,567 (−5) · 13,577 (+5)

Divisors & multiples

All divisors (36)

1 · 2 · 3 · 4 · 6 · 9 · 12 · 13 · 18 · 26 · 29 · 36 · 39 · 52 · 58 · 78 · 87 · 116 · 117 · 156 · 174 · 234 · 261 · 348 · 377 · 468 · 522 · 754 · 1044 · 1131 · 1508 · 2262 · 3393 · 4524 · 6786 (half) · 13572

Aliquot sum (sum of proper divisors): 24,648

Factor pairs (a × b = 13,572)

1 × 13572

2 × 6786

3 × 4524

4 × 3393

6 × 2262

9 × 1508

12 × 1131

13 × 1044

18 × 754

26 × 522

29 × 468

36 × 377

39 × 348

52 × 261

58 × 234

78 × 174

87 × 156

116 × 117

First multiples

13,572 · 27,144 (double) · 40,716 · 54,288 · 67,860 · 81,432 · 95,004 · 108,576 · 122,148 · 135,720

Sums & aliquot sequence

As a sum of two squares: 24² + 114² = 66² + 96²

As consecutive integers: 4,523 + 4,524 + 4,525 1,693 + 1,694 + … + 1,700 1,504 + 1,505 + … + 1,512 1,038 + 1,039 + … + 1,050

Aliquot sequence: 13,572 → 24,648 → 42,552 → 76,248 → 136,152 → 250,728 → 398,232 → 680,508 → 1,084,052 → 813,046 → 500,378 → 294,394 → 147,200 → 232,984 → 203,876 → 152,914 → 79,034 — unresolved within range

Continued fraction of √n

√13,572 = [116; (2, 232)]

Period length 2 — the block in parentheses repeats forever.

Representations

In words: thirteen thousand five hundred seventy-two
Ordinal: 13572nd
Binary: 11010100000100
Octal: 32404
Hexadecimal: 0x3504
Base64: NQQ=
One's complement: 51,963 (16-bit)
Scientific notation: 1.3572 × 10⁴
As a duration: 13,572 s = 3 hours, 46 minutes, 12 seconds

In other bases

ternary (3) 200121200

quaternary (4) 3110010

quinary (5) 413242

senary (6) 142500

septenary (7) 54366

nonary (9) 20550

undecimal (11) a219

duodecimal (12) 7a30

tridecimal (13) 6240

tetradecimal (14) 4d36

pentadecimal (15) 404c

As an angle

13,572° = 37 × 360° + 252°

252° ≈ 4.398 rad

Compass bearing: WSW (west-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic: 𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian): ͵ιγφοβʹ
Mayan (base 20): 𝋡·𝋭·𝋲·𝋬
Chinese: 一萬三千五百七十二
Chinese (financial): 壹萬參仟伍佰柒拾貳

In other modern scripts

Eastern Arabic ١٣٥٧٢ Devanagari १३५७२ Bengali ১৩৫৭২ Tamil ௧௩௫௭௨ Thai ๑๓๕๗๒ Tibetan ༡༣༥༧༢ Khmer ១៣៥៧២ Lao ໑໓໕໗໒ Burmese ၁၃၅၇၂

Digit at this position in famous constants

π — Pi (π): Digit 13,572 = 0
e — Euler's number (e): Digit 13,572 = 6
φ — Golden ratio (φ): Digit 13,572 = 7
√2 — Pythagoras's (√2): Digit 13,572 = 5
ln 2 — Natural log of 2: Digit 13,572 = 1
γ — Euler-Mascheroni (γ): Digit 13,572 = 4

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 13572, here are decompositions:

5 + 13567 = 13572
19 + 13553 = 13572
59 + 13513 = 13572
73 + 13499 = 13572
103 + 13469 = 13572
109 + 13463 = 13572
131 + 13441 = 13572
151 + 13421 = 13572

Showing the first eight; more decompositions exist.

Unicode codepoint

㔄

CJK Unified Ideograph-3504

U+3504

Other letter (Lo)

UTF-8 encoding: E3 94 84 (3 bytes).

Lookup U+3504 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#003504

RGB(0, 53, 4)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.53.4.

Address: 0.0.53.4
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.53.4

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Musical pitch

Heard as a frequency, 13,572 Hz is closest to:

Concert pitch (A4 = 440 Hz): G♯9 (13289.8 Hz, +36¢)
Scientific pitch (C4 = 256 Hz): A9 (13777.2 Hz, -26¢)
Baroque pitch (A4 = 415 Hz): A9 (13280 Hz, +38¢)

Position in π

The digit sequence 13572 first appears in π at position 104,643 of the decimal expansion (the 104,643ordinal-suffix:rd 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 13572 on Pi Search ↗