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113,972

113,972 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.).

113,972 (one hundred thirteen thousand nine hundred seventy-two) is an even 6-digit number. It is a composite number with 6 divisors, and factors as 2² × 28,493. Written other ways, in hexadecimal, 0x1BD34.

Arithmetic Number Cube-Free Deficient Number Evil Number Recamán's Sequence

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
23
Digit product
378
Digital root
5
Palindrome
No
Bit width
17 bits
Reversed
279,311
Recamán's sequence
a(56,731) = 113,972
Square (n²)
12,989,616,784
Cube (n³)
1,480,452,604,106,048
Divisor count
6
σ(n) — sum of divisors
199,458
φ(n) — Euler's totient
56,984
Sum of prime factors
28,497

Primality

Prime factorization: 2 2 × 28493

Nearest primes: 113,969 (−3) · 113,983 (+11)

Divisors & multiples

All divisors (6)
1 · 2 · 4 · 28493 · 56986 (half) · 113972
Aliquot sum (sum of proper divisors): 85,486
Factor pairs (a × b = 113,972)
1 × 113972
2 × 56986
4 × 28493
First multiples
113,972 · 227,944 (double) · 341,916 · 455,888 · 569,860 · 683,832 · 797,804 · 911,776 · 1,025,748 · 1,139,720

Sums & aliquot sequence

As a sum of two squares: 124² + 314²
As consecutive integers: 14,243 + 14,244 + … + 14,250
Aliquot sequence: 113,972 85,486 42,746 30,694 16,106 8,056 8,144 7,666 3,836 3,892 3,948 6,804 13,580 19,348 19,404 42,840 125,640 — unresolved within range

Continued fraction of √n

√113,972 = [337; (1, 1, 2, 14, 1, 17, 3, 5, 3, 1, 21, 51, 1, 8, 3, 1, 2, 1, 1, 1, 2, 1, 41, 2, …)]

Representations

In words
one hundred thirteen thousand nine hundred seventy-two
Ordinal
113972nd
Binary
11011110100110100
Octal
336464
Hexadecimal
0x1BD34
Base64
Ab00
One's complement
4,294,853,323 (32-bit)
Scientific notation
1.13972 × 10⁵
As a duration
113,972 s = 1 day, 7 hours, 39 minutes, 32 seconds
In other bases
ternary (3) 12210100012
quaternary (4) 123310310
quinary (5) 12121342
senary (6) 2235352
septenary (7) 653165
nonary (9) 183305
undecimal (11) 786a1
duodecimal (12) 55b58
tridecimal (13) 3cb51
tetradecimal (14) 2d76c
pentadecimal (15) 23b82

As an angle

113,972° = 316 × 360° + 212°
212° ≈ 3.7 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ριγϡοβʹ
Mayan (base 20)
𝋮·𝋤·𝋲·𝋬
Chinese
一十一萬三千九百七十二
Chinese (financial)
壹拾壹萬參仟玖佰柒拾貳
In other modern scripts
Eastern Arabic ١١٣٩٧٢ Devanagari ११३९७२ Bengali ১১৩৯৭২ Tamil ௧௧௩௯௭௨ Thai ๑๑๓๙๗๒ Tibetan ༡༡༣༩༧༢ Khmer ១១៣៩៧២ Lao ໑໑໓໙໗໒ Burmese ၁၁၃၉၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 113972, here are decompositions:

  • 3 + 113969 = 113972
  • 73 + 113899 = 113972
  • 163 + 113809 = 113972
  • 193 + 113779 = 113972
  • 211 + 113761 = 113972
  • 223 + 113749 = 113972
  • 241 + 113731 = 113972
  • 349 + 113623 = 113972

Showing the first eight; more decompositions exist.

Hex color
#01BD34
RGB(1, 189, 52)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.189.52.

Address
0.1.189.52
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.189.52

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 113,972 and was likely granted around 1871.

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

Position in π

The digit sequence 113972 first appears in π at position 327,066 of the decimal expansion (the 327,066ordinal-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.

Related reading

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.