Live analysis

13,720

13,720 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.).

Abundant Number Arithmetic Number Gapful Number Odious Number Pernicious Number Practical Number Recamán's Sequence Self Number Semiperfect Number

Properties

Parity: Even
Digit count: 5
Digit sum: 13
Digit product: 0
Digital root: 4
Palindrome: No
Bit width: 14 bits
Reversed: 2,731
Recamán's sequence: a(4,148) = 13,720
Square (n²): 188,238,400
Cube (n³): 2,582,630,848,000
Divisor count: 32
σ(n) — sum of divisors: 36,000
φ(n) — Euler's totient: 4,704
Sum of prime factors: 32

Primality

Prime factorization: 2 ³ × 5 × 7 ³

Nearest primes: 13,711 (−9) · 13,721 (+1)

Divisors & multiples

All divisors (32)

1 · 2 · 4 · 5 · 7 · 8 · 10 · 14 · 20 · 28 · 35 · 40 · 49 · 56 · 70 · 98 · 140 · 196 · 245 · 280 · 343 · 392 · 490 · 686 · 980 · 1372 · 1715 · 1960 · 2744 · 3430 · 6860 (half) · 13720

Aliquot sum (sum of proper divisors): 22,280

Factor pairs (a × b = 13,720)

1 × 13720

2 × 6860

4 × 3430

5 × 2744

7 × 1960

8 × 1715

10 × 1372

14 × 980

20 × 686

28 × 490

35 × 392

40 × 343

49 × 280

56 × 245

70 × 196

98 × 140

First multiples

13,720 · 27,440 (double) · 41,160 · 54,880 · 68,600 · 82,320 · 96,040 · 109,760 · 123,480 · 137,200

Sums & aliquot sequence

As consecutive integers: 2,742 + 2,743 + 2,744 + 2,745 + 2,746 1,957 + 1,958 + … + 1,963 850 + 851 + … + 865 375 + 376 + … + 409

Aliquot sequence: 13,720 → 22,280 → 27,940 → 36,572 → 29,284 → 21,970 → 20,870 → 16,714 → 8,954 → 6,208 → 6,238 → 3,122 → 2,254 → 1,850 → 1,684 → 1,270 → 1,034 — unresolved within range

Representations

In words: thirteen thousand seven hundred twenty
Ordinal: 13720th
Binary: 11010110011000
Octal: 32630
Hexadecimal: 0x3598
Base64: NZg=
One's complement: 51,815 (16-bit)

In other bases

ternary (3) 200211011

quaternary (4) 3112120

quinary (5) 414340

senary (6) 143304

septenary (7) 55000

nonary (9) 20734

undecimal (11) a343

duodecimal (12) 7b34

tridecimal (13) 6325

tetradecimal (14) 5000

pentadecimal (15) 40ea

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic: 𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆
Greek (Milesian): ͵ιγψκʹ
Mayan (base 20): 𝋡·𝋮·𝋦·𝋠
Chinese: 一萬三千七百二十
Chinese (financial): 壹萬參仟柒佰貳拾

In other modern scripts

Eastern Arabic ١٣٧٢٠ Devanagari १३७२० Bengali ১৩৭২০ Tamil ௧௩௭௨௦ Thai ๑๓๗๒๐ Tibetan ༡༣༧༢༠ Khmer ១៣៧២០ Lao ໑໓໗໒໐ Burmese ၁၃၇၂၀

Digit at this position in famous constants

π — Pi (π): Digit 13,720 = 1
e — Euler's number (e): Digit 13,720 = 0
φ — Golden ratio (φ): Digit 13,720 = 4
√2 — Pythagoras's (√2): Digit 13,720 = 9
ln 2 — Natural log of 2: Digit 13,720 = 0
γ — Euler-Mascheroni (γ): Digit 13,720 = 0

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 13720, here are decompositions:

11 + 13709 = 13720
23 + 13697 = 13720
29 + 13691 = 13720
41 + 13679 = 13720
71 + 13649 = 13720
101 + 13619 = 13720
107 + 13613 = 13720
167 + 13553 = 13720

Showing the first eight; more decompositions exist.

Unicode codepoint

㖘

CJK Unified Ideograph-3598

U+3598

Other letter (Lo)

UTF-8 encoding: E3 96 98 (3 bytes).

Lookup U+3598 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#003598

RGB(0, 53, 152)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.53.152.

Address: 0.0.53.152
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.53.152

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

Position in π

The digit sequence 13720 first appears in π at position 235,500 of the decimal expansion (the 235,500ordinal-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 13720 on Pi Search ↗