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103,402

103,402 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.).

103,402 (one hundred three thousand four hundred two) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2 × 13 × 41 × 97. Written other ways, in hexadecimal, 0x193EA.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
10
Digit product
0
Digital root
1
Palindrome
No
Bit width
17 bits
Reversed
204,301
Recamán's sequence
a(95,695) = 103,402
Square (n²)
10,691,973,604
Cube (n³)
1,105,571,454,600,808
Divisor count
16
σ(n) — sum of divisors
172,872
φ(n) — Euler's totient
46,080
Sum of prime factors
153

Primality

Prime factorization: 2 × 13 × 41 × 97

Nearest primes: 103,399 (−3) · 103,409 (+7)

Divisors & multiples

All divisors (16)
1 · 2 · 13 · 26 · 41 · 82 · 97 · 194 · 533 · 1066 · 1261 · 2522 · 3977 · 7954 · 51701 (half) · 103402
Aliquot sum (sum of proper divisors): 69,470
Factor pairs (a × b = 103,402)
1 × 103402
2 × 51701
13 × 7954
26 × 3977
41 × 2522
82 × 1261
97 × 1066
194 × 533
First multiples
103,402 · 206,804 (double) · 310,206 · 413,608 · 517,010 · 620,412 · 723,814 · 827,216 · 930,618 · 1,034,020

Sums & aliquot sequence

As a sum of two squares: 19² + 321² = 89² + 309² = 141² + 289² = 201² + 251²
As consecutive integers: 25,849 + 25,850 + 25,851 + 25,852 7,948 + 7,949 + … + 7,960 2,502 + 2,503 + … + 2,542 1,963 + 1,964 + … + 2,014
Aliquot sequence: 103,402 69,470 55,594 54,134 27,070 21,674 10,840 13,640 20,920 26,240 38,020 41,864 36,646 19,298 9,652 8,268 12,900 — unresolved within range

Continued fraction of √n

√103,402 = [321; (1, 1, 3, 1, 1, 5, 7, 1, 3, 5, 1, 70, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 70, 1, …)]

Period length 35 — the block in parentheses repeats forever.

Representations

In words
one hundred three thousand four hundred two
Ordinal
103402nd
Binary
11001001111101010
Octal
311752
Hexadecimal
0x193EA
Base64
AZPq
One's complement
4,294,863,893 (32-bit)
Scientific notation
1.03402 × 10⁵
As a duration
103,402 s = 1 day, 4 hours, 43 minutes, 22 seconds
In other bases
ternary (3) 12020211201
quaternary (4) 121033222
quinary (5) 11302102
senary (6) 2114414
septenary (7) 610315
nonary (9) 166751
undecimal (11) 70762
duodecimal (12) 4ba0a
tridecimal (13) 380b0
tetradecimal (14) 2997c
pentadecimal (15) 20987

As an angle

103,402° = 287 × 360° + 82°
82° ≈ 1.431 rad
Compass bearing: E (east)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓏺𓏺
Greek (Milesian)
͵ργυβʹ
Mayan (base 20)
𝋬·𝋲·𝋪·𝋢
Chinese
一十萬三千四百零二
Chinese (financial)
壹拾萬參仟肆佰零貳
In other modern scripts
Eastern Arabic ١٠٣٤٠٢ Devanagari १०३४०२ Bengali ১০৩৪০২ Tamil ௧௦௩௪௦௨ Thai ๑๐๓๔๐๒ Tibetan ༡༠༣༤༠༢ Khmer ១០៣៤០២ Lao ໑໐໓໔໐໒ Burmese ၁၀၃၄၀၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 103402, here are decompositions:

  • 3 + 103399 = 103402
  • 11 + 103391 = 103402
  • 53 + 103349 = 103402
  • 83 + 103319 = 103402
  • 113 + 103289 = 103402
  • 311 + 103091 = 103402
  • 353 + 103049 = 103402
  • 359 + 103043 = 103402

Showing the first eight; more decompositions exist.

Hex color
#0193EA
RGB(1, 147, 234)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.147.234.

Address
0.1.147.234
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.147.234

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 103,402 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 103402 first appears in π at position 733,754 of the decimal expansion (the 733,754ordinal-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