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100,672

100,672 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 Harshad / Niven Odious Number Pernicious Number Practical Number Recamán's Sequence Semiperfect Number

Properties

Parity
Even
Digit count
6
Digit sum
16
Digit product
0
Digital root
7
Palindrome
No
Bit width
17 bits
Reversed
276,001
Recamán's sequence
a(255,372) = 100,672
Square (n²)
10,134,851,584
Cube (n³)
1,020,295,778,664,448
Divisor count
42
σ(n) — sum of divisors
236,474
φ(n) — Euler's totient
42,240
Sum of prime factors
47

Primality

Prime factorization: 2 6 × 11 2 × 13

Nearest primes: 100,669 (−3) · 100,673 (+1)

Divisors & multiples

All divisors (42)
1 · 2 · 4 · 8 · 11 · 13 · 16 · 22 · 26 · 32 · 44 · 52 · 64 · 88 · 104 · 121 · 143 · 176 · 208 · 242 · 286 · 352 · 416 · 484 · 572 · 704 · 832 · 968 · 1144 · 1573 · 1936 · 2288 · 3146 · 3872 · 4576 · 6292 · 7744 · 9152 · 12584 · 25168 · 50336 (half) · 100672
Aliquot sum (sum of proper divisors): 135,802
Factor pairs (a × b = 100,672)
1 × 100672
2 × 50336
4 × 25168
8 × 12584
11 × 9152
13 × 7744
16 × 6292
22 × 4576
26 × 3872
32 × 3146
44 × 2288
52 × 1936
64 × 1573
88 × 1144
104 × 968
121 × 832
143 × 704
176 × 572
208 × 484
242 × 416
286 × 352
First multiples
100,672 · 201,344 (double) · 302,016 · 402,688 · 503,360 · 604,032 · 704,704 · 805,376 · 906,048 · 1,006,720

Sums & aliquot sequence

As a sum of two squares: 176² + 264²
As consecutive integers: 9,147 + 9,148 + … + 9,157 7,738 + 7,739 + … + 7,750 772 + 773 + … + 892 723 + 724 + … + 850
Aliquot sequence: 100,672 135,802 67,904 66,970 57,518 28,762 15,194 8,134 6,230 6,730 5,402 3,034 1,754 880 1,352 1,393 207 — unresolved within range

Continued fraction of √n

√100,672 = [317; (3, 2, 6, 1, 6, 2, 3, 634)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words
one hundred thousand six hundred seventy-two
Ordinal
100672nd
Binary
11000100101000000
Octal
304500
Hexadecimal
0x18940
Base64
AYlA
One's complement
4,294,866,623 (32-bit)
Scientific notation
1.00672 × 10⁵
In other bases
ternary (3) 12010002121
quaternary (4) 120211000
quinary (5) 11210142
senary (6) 2054024
septenary (7) 566335
nonary (9) 163077
undecimal (11) 69700
duodecimal (12) 4a314
tridecimal (13) 36a90
tetradecimal (14) 2898c
pentadecimal (15) 1ec67

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρχοβʹ
Mayan (base 20)
𝋬·𝋫·𝋭·𝋬
Chinese
一十萬零六百七十二
Chinese (financial)
壹拾萬零陸佰柒拾貳
In other modern scripts
Eastern Arabic ١٠٠٦٧٢ Devanagari १००६७२ Bengali ১০০৬৭২ Tamil ௧௦௦௬௭௨ Thai ๑๐๐๖๗๒ Tibetan ༡༠༠༦༧༢ Khmer ១០០៦៧២ Lao ໑໐໐໖໗໒ Burmese ၁၀၀၆၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 100672, here are decompositions:

  • 3 + 100669 = 100672
  • 23 + 100649 = 100672
  • 59 + 100613 = 100672
  • 113 + 100559 = 100672
  • 149 + 100523 = 100672
  • 179 + 100493 = 100672
  • 269 + 100403 = 100672
  • 281 + 100391 = 100672

Showing the first eight; more decompositions exist.

Unicode codepoint
𘥀
Tangut Component-321
U+18940
Other letter (Lo)

UTF-8 encoding: F0 98 A5 80 (4 bytes).

Hex color
#018940
RGB(1, 137, 64)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.137.64.

Address
0.1.137.64
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.137.64

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 100,672 and was likely granted around 1870.

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

Position in π

The digit sequence 100672 first appears in π at position 241,214 of the decimal expansion (the 241,214ordinal-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.