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112,504

112,504 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.).

112,504 (one hundred twelve thousand five hundred four) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2³ × 7³ × 41. Its proper divisors sum to 139,496, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1B778.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
13
Digit product
0
Digital root
4
Palindrome
No
Bit width
17 bits
Reversed
405,211
Recamán's sequence
a(246,624) = 112,504
Square (n²)
12,657,150,016
Cube (n³)
1,423,980,005,400,064
Divisor count
32
σ(n) — sum of divisors
252,000
φ(n) — Euler's totient
47,040
Sum of prime factors
68

Primality

Prime factorization: 2 3 × 7 3 × 41

Nearest primes: 112,501 (−3) · 112,507 (+3)

Divisors & multiples

All divisors (32)
1 · 2 · 4 · 7 · 8 · 14 · 28 · 41 · 49 · 56 · 82 · 98 · 164 · 196 · 287 · 328 · 343 · 392 · 574 · 686 · 1148 · 1372 · 2009 · 2296 · 2744 · 4018 · 8036 · 14063 · 16072 · 28126 · 56252 (half) · 112504
Aliquot sum (sum of proper divisors): 139,496
Factor pairs (a × b = 112,504)
1 × 112504
2 × 56252
4 × 28126
7 × 16072
8 × 14063
14 × 8036
28 × 4018
41 × 2744
49 × 2296
56 × 2009
82 × 1372
98 × 1148
164 × 686
196 × 574
287 × 392
328 × 343
First multiples
112,504 · 225,008 (double) · 337,512 · 450,016 · 562,520 · 675,024 · 787,528 · 900,032 · 1,012,536 · 1,125,040

Sums & aliquot sequence

As consecutive integers: 16,069 + 16,070 + … + 16,075 7,024 + 7,025 + … + 7,039 2,724 + 2,725 + … + 2,764 2,272 + 2,273 + … + 2,320
Aliquot sequence: 112,504 139,496 171,544 158,576 203,008 240,540 471,780 959,832 1,639,908 2,505,506 1,333,540 1,827,548 1,439,044 1,079,290 916,622 667,090 597,230 — unresolved within range

Continued fraction of √n

√112,504 = [335; (2, 2, 2, 13, 3, 1, 1, 1, 7, 13, 1, 1, 3, 1, 2, 2, 1, 12, 1, 82, 1, 12, 1, 2, …)]

Period length 40 — the block in parentheses repeats forever.

Representations

In words
one hundred twelve thousand five hundred four
Ordinal
112504th
Binary
11011011101111000
Octal
333570
Hexadecimal
0x1B778
Base64
Abd4
One's complement
4,294,854,791 (32-bit)
Scientific notation
1.12504 × 10⁵
As a duration
112,504 s = 1 day, 7 hours, 15 minutes, 4 seconds
In other bases
ternary (3) 12201022211
quaternary (4) 123131320
quinary (5) 12100004
senary (6) 2224504
septenary (7) 646000
nonary (9) 181284
undecimal (11) 77587
duodecimal (12) 55134
tridecimal (13) 3c292
tetradecimal (14) 2d000
pentadecimal (15) 23504

As an angle

112,504° = 312 × 360° + 184°
184° ≈ 3.211 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹 𒌋𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ριβφδʹ
Mayan (base 20)
𝋮·𝋡·𝋥·𝋤
Chinese
一十一萬二千五百零四
Chinese (financial)
壹拾壹萬貳仟伍佰零肆
In other modern scripts
Eastern Arabic ١١٢٥٠٤ Devanagari ११२५०४ Bengali ১১২৫০৪ Tamil ௧௧௨௫௦௪ Thai ๑๑๒๕๐๔ Tibetan ༡༡༢༥༠༤ Khmer ១១២៥០៤ Lao ໑໑໒໕໐໔ Burmese ၁၁၂၅၀၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 112504, here are decompositions:

  • 3 + 112501 = 112504
  • 23 + 112481 = 112504
  • 101 + 112403 = 112504
  • 107 + 112397 = 112504
  • 167 + 112337 = 112504
  • 173 + 112331 = 112504
  • 251 + 112253 = 112504
  • 257 + 112247 = 112504

Showing the first eight; more decompositions exist.

Hex color
#01B778
RGB(1, 183, 120)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.183.120.

Address
0.1.183.120
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.183.120

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 112,504 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 112504 first appears in π at position 622,273 of the decimal expansion (the 622,273ordinal-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.

Related reading