Live analysis

31,000

31,000 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.).

31,000 (thirty-one thousand) is an even 5-digit number. It is a composite number with 32 divisors, and factors as 2³ × 5³ × 31. Its proper divisors sum to 43,880, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x7918.

Abundant Number Arithmetic Number Happy Number Harshad / Niven Odious Number Pernicious Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

30,988 30,989 30,990 30,991 30,992 30,993 30,994 30,995 30,996 30,997 30,998 30,999 31,000 31,001 31,002 31,003 31,004 31,005 31,006 31,007 31,008 31,009 31,010 31,011 31,012

less more

Properties

Parity: Even
Digit count: 5
Digit sum: 4
Digit product: 0
Digital root: 4
Palindrome: No
Bit width: 15 bits
Reversed: 13
Recamán's sequence: a(31,663) = 31,000
Square (n²): 961,000,000
Cube (n³): 29,791,000,000,000
Divisor count: 32
σ(n) — sum of divisors: 74,880
φ(n) — Euler's totient: 12,000
Sum of prime factors: 52

Primality

Prime factorization: 2 ³ × 5 ³ × 31

Nearest primes: 30,983 (−17) · 31,013 (+13)

Divisors & multiples

All divisors (32)

1 · 2 · 4 · 5 · 8 · 10 · 20 · 25 · 31 · 40 · 50 · 62 · 100 · 124 · 125 · 155 · 200 · 248 · 250 · 310 · 500 · 620 · 775 · 1000 · 1240 · 1550 · 3100 · 3875 · 6200 · 7750 · 15500 (half) · 31000

Aliquot sum (sum of proper divisors): 43,880

Factor pairs (a × b = 31,000)

1 × 31000

2 × 15500

4 × 7750

5 × 6200

8 × 3875

10 × 3100

20 × 1550

25 × 1240

31 × 1000

40 × 775

50 × 620

62 × 500

100 × 310

124 × 250

125 × 248

155 × 200

First multiples

31,000 · 62,000 (double) · 93,000 · 124,000 · 155,000 · 186,000 · 217,000 · 248,000 · 279,000 · 310,000

Sums & aliquot sequence

As consecutive integers: 6,198 + 6,199 + 6,200 + 6,201 + 6,202 1,930 + 1,931 + … + 1,945 1,228 + 1,229 + … + 1,252 985 + 986 + … + 1,015

Aliquot sequence: 31,000 → 43,880 → 54,940 → 65,012 → 48,766 → 26,474 → 21,142 → 14,606 → 7,834 → 3,920 → 6,682 → 4,154 → 2,374 → 1,190 → 1,402 → 704 → 820 — unresolved within range

Continued fraction of √n

√31,000 = [176; (14, 1, 2, 38, 1, 3, 1, 1, 1, 13, 2, 3, 1, 6, 2, 2, 3, 1, 3, 1, 2, 5, 1, 13, …)]

Period length 58 — the block in parentheses repeats forever.

Representations

In words: thirty-one thousand
Ordinal: 31000th
Binary: 111100100011000
Octal: 74430
Hexadecimal: 0x7918
Base64: eRg=
One's complement: 34,535 (16-bit)
Scientific notation: 3.1 × 10⁴
As a duration: 31,000 s = 8 hours, 36 minutes, 40 seconds

In other bases

ternary (3) 1120112011

quaternary (4) 13210120

quinary (5) 1443000

senary (6) 355304

septenary (7) 156244

nonary (9) 46464

undecimal (11) 21322

duodecimal (12) 15b34

tridecimal (13) 11158

tetradecimal (14) b424

pentadecimal (15) 92ba

Palindromic in base 9

As an angle

31,000° = 86 × 360° + 40°

40° ≈ 0.698 rad

Compass bearing: NE (northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic: 𓂍𓂍𓂍𓆼
Greek (Milesian): ͵λα
Mayan (base 20): 𝋣·𝋱·𝋪·𝋠
Chinese: 三萬一千
Chinese (financial): 參萬壹仟

In other modern scripts

Eastern Arabic ٣١٠٠٠ Devanagari ३१००० Bengali ৩১০০০ Tamil ௩௧௦௦௦ Thai ๓๑๐๐๐ Tibetan ༣༡༠༠༠ Khmer ៣១០០០ Lao ໓໑໐໐໐ Burmese ၃၁၀၀၀

Digit at this position in famous constants

π — Pi (π): Digit 31,000 = 3
e — Euler's number (e): Digit 31,000 = 7
φ — Golden ratio (φ): Digit 31,000 = 6
√2 — Pythagoras's (√2): Digit 31,000 = 5
ln 2 — Natural log of 2: Digit 31,000 = 3
γ — Euler-Mascheroni (γ): Digit 31,000 = 3

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 31000, here are decompositions:

17 + 30983 = 31000
23 + 30977 = 31000
29 + 30971 = 31000
59 + 30941 = 31000
89 + 30911 = 31000
107 + 30893 = 31000
131 + 30869 = 31000
149 + 30851 = 31000

Showing the first eight; more decompositions exist.

Unicode codepoint

礘

CJK Unified Ideograph-7918

U+7918

Other letter (Lo)

UTF-8 encoding: E7 A4 98 (3 bytes).

Lookup U+7918 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#007918

RGB(0, 121, 24)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.121.24.

Address: 0.0.121.24
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.121.24

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

Position in π

The digit sequence 31000 first appears in π at position 41,583 of the decimal expansion (the 41,583ordinal-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 31000 on Pi Search ↗