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13,972

13,972 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 Odious Number Pernicious Number Recamán's Sequence Semiperfect Number

Properties

Parity
Even
Digit count
5
Digit sum
22
Digit product
378
Digital root
4
Palindrome
No
Bit width
14 bits
Reversed
27,931
Recamán's sequence
a(20,772) = 13,972
Square (n²)
195,216,784
Cube (n³)
2,727,568,906,048
Divisor count
12
σ(n) — sum of divisors
28,000
φ(n) — Euler's totient
5,976
Sum of prime factors
510

Primality

Prime factorization: 2 2 × 7 × 499

Nearest primes: 13,967 (−5) · 13,997 (+25)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 7 · 14 · 28 · 499 · 998 · 1996 · 3493 · 6986 (half) · 13972
Aliquot sum (sum of proper divisors): 14,028
Factor pairs (a × b = 13,972)
1 × 13972
2 × 6986
4 × 3493
7 × 1996
14 × 998
28 × 499
First multiples
13,972 · 27,944 (double) · 41,916 · 55,888 · 69,860 · 83,832 · 97,804 · 111,776 · 125,748 · 139,720

Sums & aliquot sequence

As consecutive integers: 1,993 + 1,994 + … + 1,999 1,743 + 1,744 + … + 1,750 222 + 223 + … + 277
Aliquot sequence: 13,972 14,028 23,604 39,564 75,460 126,140 200,452 200,508 412,356 687,484 721,924 890,876 890,932 931,532 1,165,108 1,165,164 2,522,772 — unresolved within range

Representations

In words
thirteen thousand nine hundred seventy-two
Ordinal
13972nd
Binary
11011010010100
Octal
33224
Hexadecimal
0x3694
Base64
NpQ=
One's complement
51,563 (16-bit)
In other bases
ternary (3) 201011111
quaternary (4) 3122110
quinary (5) 421342
senary (6) 144404
septenary (7) 55510
nonary (9) 21144
undecimal (11) a552
duodecimal (12) 8104
tridecimal (13) 648a
tetradecimal (14) 5140
pentadecimal (15) 4217

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ιγϡοβʹ
Mayan (base 20)
𝋡·𝋮·𝋲·𝋬
Chinese
一萬三千九百七十二
Chinese (financial)
壹萬參仟玖佰柒拾貳
In other modern scripts
Eastern Arabic ١٣٩٧٢ Devanagari १३९७२ Bengali ১৩৯৭২ Tamil ௧௩௯௭௨ Thai ๑๓๙๗๒ Tibetan ༡༣༩༧༢ Khmer ១៣៩៧២ Lao ໑໓໙໗໒ Burmese ၁၃၉၇၂

Digit at this position in famous constants

π — Pi (π)
Digit 13,972 = 4
e — Euler's number (e)
Digit 13,972 = 7
φ — Golden ratio (φ)
Digit 13,972 = 0
√2 — Pythagoras's (√2)
Digit 13,972 = 7
ln 2 — Natural log of 2
Digit 13,972 = 7
γ — Euler-Mascheroni (γ)
Digit 13,972 = 9

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 13972, here are decompositions:

  • 5 + 13967 = 13972
  • 41 + 13931 = 13972
  • 59 + 13913 = 13972
  • 71 + 13901 = 13972
  • 89 + 13883 = 13972
  • 113 + 13859 = 13972
  • 131 + 13841 = 13972
  • 173 + 13799 = 13972

Showing the first eight; more decompositions exist.

Unicode codepoint
CJK Unified Ideograph-3694
U+3694
Other letter (Lo)

UTF-8 encoding: E3 9A 94 (3 bytes).

Hex color
#003694
RGB(0, 54, 148)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.54.148.

Address
0.0.54.148
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.54.148

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

Position in π

The digit sequence 13972 first appears in π at position 28,038 of the decimal expansion (the 28,038ordinal-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.