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100,742

100,742 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.).
Arithmetic Number Cube-Free Deficient Number Happy Number Odious Number Pernicious Number Recamán's Sequence Sphenic Number Squarefree

Properties

Parity
Even
Digit count
6
Digit sum
14
Digit product
0
Digital root
5
Palindrome
No
Bit width
17 bits
Reversed
247,001
Recamán's sequence
a(255,232) = 100,742
Square (n²)
10,148,950,564
Cube (n³)
1,022,425,577,718,488
Divisor count
8
σ(n) — sum of divisors
160,056
φ(n) — Euler's totient
47,392
Sum of prime factors
2,982

Primality

Prime factorization: 2 × 17 × 2963

Nearest primes: 100,741 (−1) · 100,747 (+5)

Divisors & multiples

All divisors (8)
1 · 2 · 17 · 34 · 2963 · 5926 · 50371 (half) · 100742
Aliquot sum (sum of proper divisors): 59,314
Factor pairs (a × b = 100,742)
1 × 100742
2 × 50371
17 × 5926
34 × 2963
First multiples
100,742 · 201,484 (double) · 302,226 · 402,968 · 503,710 · 604,452 · 705,194 · 805,936 · 906,678 · 1,007,420

Sums & aliquot sequence

As consecutive integers: 25,184 + 25,185 + 25,186 + 25,187 5,918 + 5,919 + … + 5,934 1,448 + 1,449 + … + 1,515
Aliquot sequence: 100,742 59,314 31,694 22,738 11,372 8,536 9,104 8,566 4,286 2,146 1,274 1,120 1,904 2,560 3,578 1,792 2,296 — unresolved within range

Continued fraction of √n

√100,742 = [317; (2, 1, 1, 32, 1, 4, 3, 1, 1, 1, 1, 1, 6, 1, 3, 5, 1, 2, 1, 2, 2, 2, 13, 10, …)]

Representations

In words
one hundred thousand seven hundred forty-two
Ordinal
100742nd
Binary
11000100110000110
Octal
304606
Hexadecimal
0x18986
Base64
AYmG
One's complement
4,294,866,553 (32-bit)
Scientific notation
1.00742 × 10⁵
In other bases
ternary (3) 12010012012
quaternary (4) 120212012
quinary (5) 11210432
senary (6) 2054222
septenary (7) 566465
nonary (9) 163165
undecimal (11) 69764
duodecimal (12) 4a372
tridecimal (13) 36b15
tetradecimal (14) 289dc
pentadecimal (15) 1ecb2

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹
Egyptian hieroglyphic
𓆐𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρψμβʹ
Mayan (base 20)
𝋬·𝋫·𝋱·𝋢
Chinese
一十萬零七百四十二
Chinese (financial)
壹拾萬零柒佰肆拾貳
In other modern scripts
Eastern Arabic ١٠٠٧٤٢ Devanagari १००७४२ Bengali ১০০৭৪২ Tamil ௧௦௦௭௪௨ Thai ๑๐๐๗๔๒ Tibetan ༡༠༠༧༤༢ Khmer ១០០៧៤២ Lao ໑໐໐໗໔໒ Burmese ၁၀၀၇၄၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 100742, here are decompositions:

  • 43 + 100699 = 100742
  • 73 + 100669 = 100742
  • 151 + 100591 = 100742
  • 193 + 100549 = 100742
  • 223 + 100519 = 100742
  • 241 + 100501 = 100742
  • 283 + 100459 = 100742
  • 331 + 100411 = 100742

Showing the first eight; more decompositions exist.

Unicode codepoint
𘦆
Tangut Component-391
U+18986
Other letter (Lo)

UTF-8 encoding: F0 98 A6 86 (4 bytes).

Hex color
#018986
RGB(1, 137, 134)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.137.134.

Address
0.1.137.134
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.137.134

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 100,742 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 100742 first appears in π at position 10,275 of the decimal expansion (the 10,275ordinal-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.