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Number

1,407

1,407 is a composite number, odd, a calendar year.

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

Historical context — 1407 AD

Calendar year

Year 1407 (MCDVII) was a common year starting on Saturday of the Julian calendar.

Excerpt from Wikipedia (en) ↗ · Licensed CC BY-SA 4.0 · English fallback Read the full article on Wikipedia →

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, 1407
Ended on
Thursday
December 31, 1407
Friday the 13ths
3
3 Friday the 13ths this year.
Decade
1400s
1400–1409
Century
15th century
1401–1500
Millennium
2nd millennium
1001–2000
Years ago
619
619 years before 2026.

In other calendars

Hebrew
5167 / 5168 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
809 / 810 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Fire zodiac:Pig
Sexagenary cycle position 24 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
1950 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
785 / 786 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
1399 / 1400 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
1329 / 1328 Saka
Indian national calendar; year starts in March.

Properties

Parity
Odd
Digit count
4
Digit sum
12
Digit product
0
Digital root
3
Palindrome
No
Bit width
11 bits
Reversed
7,041
Recamán's sequence
a(8,314) = 1,407
Square (n²)
1,979,649
Cube (n³)
2,785,366,143
Divisor count
8
σ(n) — sum of divisors
2,176
φ(n) — Euler's totient
792
Sum of prime factors
77

Primality

Prime factorization: 3 × 7 × 67

Nearest primes: 1,399 (−8) · 1,409 (+2)

Divisors & multiples

All divisors (8)
1 · 3 · 7 · 21 · 67 · 201 · 469 · 1407
Aliquot sum (sum of proper divisors): 769
Factor pairs (a × b = 1,407)
1 × 1407
3 × 469
7 × 201
21 × 67
First multiples
1,407 · 2,814 (double) · 4,221 · 5,628 · 7,035 · 8,442 · 9,849 · 11,256 · 12,663 · 14,070

Sums & aliquot sequence

As consecutive integers: 703 + 704 468 + 469 + 470 232 + 233 + 234 + 235 + 236 + 237 198 + 199 + … + 204
Aliquot sequence: 1,407 769 1 0 — terminates at zero

Representations

In words
one thousand four hundred seven
Ordinal
1407th
Roman numeral
MCDVII
Binary
10101111111
Octal
2577
Hexadecimal
0x57F
Base64
BX8=
One's complement
64,128 (16-bit)
In other bases
ternary (3) 1221010
quaternary (4) 111333
quinary (5) 21112
senary (6) 10303
septenary (7) 4050
nonary (9) 1833
undecimal (11) 106a
duodecimal (12) 993
tridecimal (13) 843
tetradecimal (14) 727
pentadecimal (15) 63c

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵αυζʹ
Mayan (base 20)
𝋣·𝋪·𝋧
Chinese
一千四百零七
Chinese (financial)
壹仟肆佰零柒
In other modern scripts
Eastern Arabic ١٤٠٧ Devanagari १४०७ Bengali ১৪০৭ Tamil ௧௪௦௭ Thai ๑๔๐๗ Tibetan ༡༤༠༧ Khmer ១៤០៧ Lao ໑໔໐໗ Burmese ၁၄၀၇

Digit at this position in famous constants

π — Pi (π)
Digit 1,407 = 5
e — Euler's number (e)
Digit 1,407 = 5
φ — Golden ratio (φ)
Digit 1,407 = 1
√2 — Pythagoras's (√2)
Digit 1,407 = 5
ln 2 — Natural log of 2
Digit 1,407 = 9
γ — Euler-Mascheroni (γ)
Digit 1,407 = 5

Also seen as

Unicode codepoint
տ
Armenian Small Letter Tiwn
U+057F
Lowercase letter (Ll)

UTF-8 encoding: D5 BF (2 bytes).

Hex color
#00057F
RGB(0, 5, 127)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.5.127.

Address
0.0.5.127
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.5.127

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

Possible US bank routing number

This passes the ABA routing number checksum and matches the Federal Reserve numbering scheme.

Routing number
000001407
Federal Reserve
United States Government

Banks operate many routing numbers per state and division; an unmatched checksum-valid number can still be a real RTN at a smaller institution.

Position in π

The digit sequence 1407 first appears in π at position 4,247 of the decimal expansion (the 4,247ordinal-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.