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Number

1,007

1,007 is a composite number, odd, a calendar year.

Arithmetic Number Deficient Number Odious Number Recamán's Sequence Semiprime Squarefree Year

Historical context — 1007 AD

Calendar year

Year 1007 (MVII) was a common year starting on Wednesday of the Julian calendar.

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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
53
Long year: contains 53 ISO weeks.
Started on
Thursday
January 1, 1007
Ended on
Thursday
December 31, 1007
Friday the 13ths
3
3 Friday the 13ths this year.
Decade
1000s
1000–1009
Century
11th century
1001–1100
Millennium
2nd millennium
1001–2000
Years ago
1,019
1019 years before 2026.

In other calendars

Hebrew
4767 / 4768 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
397 / 398 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Fire zodiac:Goat
Sexagenary cycle position 44 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
1550 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
385 / 386 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
999 / 1000 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
929 / 928 Saka
Indian national calendar; year starts in March.

Properties

Parity
Odd
Digit count
4
Digit sum
8
Digit product
0
Digital root
8
Palindrome
No
Bit width
10 bits
Reversed
7,001
Recamán's sequence
a(4,405) = 1,007
Square (n²)
1,014,049
Cube (n³)
1,021,147,343
Divisor count
4
σ(n) — sum of divisors
1,080
φ(n) — Euler's totient
936
Sum of prime factors
72

Primality

Prime factorization: 19 × 53

Nearest primes: 997 (−10) · 1,009 (+2)

Divisors & multiples

All divisors (4)
1 · 19 · 53 · 1007
Aliquot sum (sum of proper divisors): 73
Factor pairs (a × b = 1,007)
1 × 1007
19 × 53
First multiples
1,007 · 2,014 (double) · 3,021 · 4,028 · 5,035 · 6,042 · 7,049 · 8,056 · 9,063 · 10,070

Sums & aliquot sequence

As consecutive integers: 503 + 504 44 + 45 + … + 62 8 + 9 + … + 45
Aliquot sequence: 1,007 73 1 0 — terminates at zero

Representations

In words
one thousand seven
Ordinal
1007th
Roman numeral
MVII
Binary
1111101111
Octal
1757
Hexadecimal
0x3EF
Base64
A+8=
One's complement
64,528 (16-bit)
In other bases
ternary (3) 1101022
quaternary (4) 33233
quinary (5) 13012
senary (6) 4355
septenary (7) 2636
nonary (9) 1338
undecimal (11) 836
duodecimal (12) 6bb
tridecimal (13) 5c6
tetradecimal (14) 51d
pentadecimal (15) 472

Historical numeral systems

Babylonian (base 60)
𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵αζʹ
Mayan (base 20)
𝋢·𝋪·𝋧
Chinese
一千零七
Chinese (financial)
壹仟零柒
In other modern scripts
Eastern Arabic ١٠٠٧ Devanagari १००७ Bengali ১০০৭ Tamil ௧௦௦௭ Thai ๑๐๐๗ Tibetan ༡༠༠༧ Khmer ១០០៧ Lao ໑໐໐໗ Burmese ၁၀၀၇

Digit at this position in famous constants

π — Pi (π)
Digit 1,007 = 2
e — Euler's number (e)
Digit 1,007 = 4
φ — Golden ratio (φ)
Digit 1,007 = 3
√2 — Pythagoras's (√2)
Digit 1,007 = 4
ln 2 — Natural log of 2
Digit 1,007 = 4
γ — Euler-Mascheroni (γ)
Digit 1,007 = 8

Also seen as

Unicode codepoint
ϯ
Coptic Small Letter Dei
U+03EF
Lowercase letter (Ll)

UTF-8 encoding: CF AF (2 bytes).

Hex color
#0003EF
RGB(0, 3, 239)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.3.239.

Address
0.0.3.239
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.3.239

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

Position in π

The digit sequence 1007 first appears in π at position 4,075 of the decimal expansion (the 4,075ordinal-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.