Live analysis

3,401

3,401 is a composite number, odd.

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.).

3,401 (three thousand four hundred one) is an odd 4-digit number. It is a composite number with 4 divisors, and factors as 19 × 179. Written other ways, in Roman numerals it is MMMCDI and in binary, 110101001001.

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

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

3,389 3,390 3,391 3,392 3,393 3,394 3,395 3,396 3,397 3,398 3,399 3,400 3,401 3,402 3,403 3,404 3,405 3,406 3,407 3,408 3,409 3,410 3,411 3,412 3,413

less more

Properties

Parity: Odd
Digit count: 4
Digit sum: 8
Digit product: 0
Digital root: 8
Palindrome: No
Bit width: 12 bits
Reversed: 1,043
Recamán's sequence: a(15,089) = 3,401
Square (n²): 11,566,801
Cube (n³): 39,338,690,201
Divisor count: 4
σ(n) — sum of divisors: 3,600
φ(n) — Euler's totient: 3,204
Sum of prime factors: 198

Primality

Prime factorization: 19 × 179

Nearest primes: 3,391 (−10) · 3,407 (+6)

Divisors & multiples

All divisors (4)

1 · 19 · 179 · 3401

Aliquot sum (sum of proper divisors): 199

Factor pairs (a × b = 3,401)

1 × 3401

19 × 179

First multiples

3,401 · 6,802 (double) · 10,203 · 13,604 · 17,005 · 20,406 · 23,807 · 27,208 · 30,609 · 34,010

Sums & aliquot sequence

As consecutive integers: 1,700 + 1,701 170 + 171 + … + 188 71 + 72 + … + 108

Aliquot sequence: 3,401 → 199 → 1 → 0 — terminates at zero

Continued fraction of √n

√3,401 = [58; (3, 6, 1, 22, 2, 6, 2, 1, 2, 4, 3, 2, 2, 2, 14, 6, 14, 2, 2, 2, 3, 4, 2, 1, …)]

Period length 32 — the block in parentheses repeats forever.

Representations

In words: three thousand four hundred one
Ordinal: 3401st
Roman numeral: MMMCDI
Binary: 110101001001
Octal: 6511
Hexadecimal: 0xD49
Base64: DUk=
One's complement: 62,134 (16-bit)
Scientific notation: 3.401 × 10³
As a duration: 3,401 s = 56 minutes, 41 seconds

In other bases

ternary (3) 11122222

quaternary (4) 311021

quinary (5) 102101

senary (6) 23425

septenary (7) 12626

nonary (9) 4588

undecimal (11) 2612

duodecimal (12) 1b75

tridecimal (13) 1718

tetradecimal (14) 134d

pentadecimal (15) 101b

As an angle

3,401° = 9 × 360° + 161°

161° ≈ 2.81 rad

Compass bearing: SSE (south-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic: 𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓏺
Greek (Milesian): ͵γυαʹ
Mayan (base 20): 𝋨·𝋪·𝋡
Chinese: 三千四百零一
Chinese (financial): 參仟肆佰零壹

In other modern scripts

Eastern Arabic ٣٤٠١ Devanagari ३४०१ Bengali ৩৪০১ Tamil ௩௪௦௧ Thai ๓๔๐๑ Tibetan ༣༤༠༡ Khmer ៣៤០១ Lao ໓໔໐໑ Burmese ၃၄၀၁

Digit at this position in famous constants

π — Pi (π): Digit 3,401 = 6
e — Euler's number (e): Digit 3,401 = 3
φ — Golden ratio (φ): Digit 3,401 = 1
√2 — Pythagoras's (√2): Digit 3,401 = 6
ln 2 — Natural log of 2: Digit 3,401 = 4
γ — Euler-Mascheroni (γ): Digit 3,401 = 4

Also seen as

Hex color

#000D49

RGB(0, 13, 73)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.13.73.

Address: 0.0.13.73
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.13.73

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

Musical pitch

Heard as a frequency, 3,401 Hz is closest to:

Concert pitch (A4 = 440 Hz): G♯7 (3322.4 Hz, +40¢)
Scientific pitch (C4 = 256 Hz): A7 (3444.3 Hz, -22¢)
Baroque pitch (A4 = 415 Hz): A7 (3320 Hz, +42¢)

Position in π

The digit sequence 3401 first appears in π at position 10,398 of the decimal expansion (the 10,398ordinal-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.

Look up 3401 on Pi Search ↗