λ
Harmonic Matrix

351,428

22 × 72 × 11 × 163
Abundant Even Composite

351,428 has digital root 5. The neighboring primes are 351427 and 351437; its proper-divisor sum differs from the starting integer by 82,376.

Prime Factor Structure

Factorization String 2^2 × 7^2 × 11 × 163
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 785,232
Proper Divisor Sum 433,804
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #351427 ← → #351437

Radix Representation

Decimal 351428
Binary 1010101110011000100 (19 bits)
Octal 0o1256304
Hexadecimal 0x55CC4

Divisor Catalog (36)

1 2 4 7 11 14 22 28 44 49 77 98 154 163 196 308 326 539 652 1,078 1,141 1,793 2,156 2,282 3,586 4,564 7,172 7,987 12,551 15,974 25,102 31,948 50,204 87,857 175,714 351,428

Collatz Trajectory (122 steps to reach 1)

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

351,428 175,714 87,857 263,572 131,786 65,893 197,680 98,840 49,420 24,710 12,355 37,066 18,533 55,600 27,800 13,900 6,950 3,475 10,426 5,213 15,640 7,820 3,910 1,955 5,866 2,933 8,800 4,400 2,200 1,100 550 275 826 413 1,240 620 310 155 466 233 700 350 175 526 263 790 395 1,186 593 1,780 890 445 1,336 668 334 167 502 251 754 377

More profiles

← Previous Integer #351,427 Browse Full Index Next Integer #351,429 →