214,004

2² × 7 × 7643

214,004 has the prime decomposition 2^2 × 7 × 7643. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 7 × 7643

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 428,064

Proper Divisor Sum 214,060

Digit Sum / Digital Root 11 (Root: 2)

Adjacent Primes #214003 ← → #214007

Radix Representation

Decimal	214004
Binary	110100001111110100 (18 bits)
Octal	0o641764
Hexadecimal	0x343F4

Divisor Catalog (12)

1 2 4 7 14 28 7,643 15,286 30,572 53,501 107,002 214,004

Collatz Trajectory (54 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

214,004 107,002 53,501 160,504 80,252 40,126 20,063 60,190 30,095 90,286 45,143 135,430 67,715 203,146 101,573 304,720 152,360 76,180 38,090 19,045 57,136 28,568 14,284 7,142 3,571 10,714 5,357 16,072 8,036 4,018 2,009 6,028 3,014 1,507 4,522 2,261 6,784 3,392 1,696 848 424 212 106 53 160 80 40 20 10 5 16 8 4 2 1

← Previous Integer #214,003 Browse Full Index Next Integer #214,005 →