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Number

1,526

1,526 is a composite number, even, a calendar year.

Arithmetic Number Deficient Number Evil Number Harshad / Niven Recamán's Sequence Self Number Sphenic Number Squarefree Year

Notable events — 1526 AD

  1. Apr 21 Babur defeats the Lodi sultanate at the First Battle of Panipat, establishing the Mughal Empire.
  2. Aug 29 Ottoman forces crush Hungary at Mohács; King Louis II is killed.
  3. Jan 14 The Treaty of Madrid frees Francis I (but he later repudiates it).

Events compiled from Wikipedia ↗ · Licensed CC BY-SA 4.0

Year facts

Year type
Common year
Standard 365-day year; not divisible by 4 (or divisible by 100 but not 400).
Days in year
365
ISO weeks
52
Started on
Friday
January 1, 1526
Ended on
Friday
December 31, 1526
Friday the 13ths
1
One Friday the 13th this year.
Decade
1520s
1520–1529
Century
16th century
1501–1600
Millennium
2nd millennium
1001–2000
Years ago
500
500 years before 2026.

In other calendars

Hebrew
5286 / 5287 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
932 / 933 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Fire zodiac:Dog
Sexagenary cycle position 23 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
2069 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
904 / 905 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
1518 / 1519 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
1448 / 1447 Saka
Indian national calendar; year starts in March.

Properties

Parity
Even
Digit count
4
Digit sum
14
Digit product
60
Digital root
5
Palindrome
No
Bit width
11 bits
Reversed
6,251
Recamán's sequence
a(1,508) = 1,526
Square (n²)
2,328,676
Cube (n³)
3,553,559,576
Divisor count
8
σ(n) — sum of divisors
2,640
φ(n) — Euler's totient
648
Sum of prime factors
118

Primality

Prime factorization: 2 × 7 × 109

Nearest primes: 1,523 (−3) · 1,531 (+5)

Divisors & multiples

All divisors (8)
1 · 2 · 7 · 14 · 109 · 218 · 763 (half) · 1526
Aliquot sum (sum of proper divisors): 1,114
Factor pairs (a × b = 1,526)
1 × 1526
2 × 763
7 × 218
14 × 109
First multiples
1,526 · 3,052 (double) · 4,578 · 6,104 · 7,630 · 9,156 · 10,682 · 12,208 · 13,734 · 15,260

Sums & aliquot sequence

As consecutive integers: 380 + 381 + 382 + 383 215 + 216 + … + 221 41 + 42 + … + 68
Aliquot sequence: 1,526 1,114 560 928 962 634 320 442 314 160 218 112 136 134 70 74 40 — unresolved within range

Representations

In words
one thousand five hundred twenty-six
Ordinal
1526th
Roman numeral
MDXXVI
Binary
10111110110
Octal
2766
Hexadecimal
0x5F6
Base64
BfY=
One's complement
64,009 (16-bit)
In other bases
ternary (3) 2002112
quaternary (4) 113312
quinary (5) 22101
senary (6) 11022
septenary (7) 4310
nonary (9) 2075
undecimal (11) 1168
duodecimal (12) a72
tridecimal (13) 905
tetradecimal (14) 7b0
pentadecimal (15) 6bb

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵αφκϛʹ
Mayan (base 20)
𝋣·𝋰·𝋦
Chinese
一千五百二十六
Chinese (financial)
壹仟伍佰貳拾陸
In other modern scripts
Eastern Arabic ١٥٢٦ Devanagari १५२६ Bengali ১৫২৬ Tamil ௧௫௨௬ Thai ๑๕๒๖ Tibetan ༡༥༢༦ Khmer ១៥២៦ Lao ໑໕໒໖ Burmese ၁၅၂၆

Digit at this position in famous constants

π — Pi (π)
Digit 1,526 = 4
e — Euler's number (e)
Digit 1,526 = 6
φ — Golden ratio (φ)
Digit 1,526 = 2
√2 — Pythagoras's (√2)
Digit 1,526 = 5
ln 2 — Natural log of 2
Digit 1,526 = 9
γ — Euler-Mascheroni (γ)
Digit 1,526 = 6

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1526, here are decompositions:

  • 3 + 1523 = 1526
  • 37 + 1489 = 1526
  • 43 + 1483 = 1526
  • 67 + 1459 = 1526
  • 73 + 1453 = 1526
  • 79 + 1447 = 1526
  • 97 + 1429 = 1526
  • 103 + 1423 = 1526

Showing the first eight; more decompositions exist.

Hex color
#0005F6
RGB(0, 5, 246)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.5.246.

Address
0.0.5.246
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.5.246

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Position in π

The digit sequence 1526 first appears in π at position 17,039 of the decimal expansion (the 17,039ordinal-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.