628,072

2³ × 78509

628,072 is even and not a perfect square. Its factorization is 2^3 × 78509 and its 8 divisors sum to 1,177,650.

Prime Factor Structure

Factorization String 2^3 × 78509

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 1,177,650

Proper Divisor Sum 549,578

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #628063 ← → #628093

Radix Representation

Decimal	628072
Binary	10011001010101101000 (20 bits)
Octal	0o2312550
Hexadecimal	0x99568

Divisor Catalog (8)

1 2 4 8 78,509 157,018 314,036 628,072

Collatz Trajectory (172 steps to reach 1)

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

628,072 314,036 157,018 78,509 235,528 117,764 58,882 29,441 88,324 44,162 22,081 66,244 33,122 16,561 49,684 24,842 12,421 37,264 18,632 9,316 4,658 2,329 6,988 3,494 1,747 5,242 2,621 7,864 3,932 1,966 983 2,950 1,475 4,426 2,213 6,640 3,320 1,660 830 415 1,246 623 1,870 935 2,806 1,403 4,210 2,105 6,316 3,158 1,579 4,738 2,369 7,108 3,554 1,777 5,332 2,666 1,333 4,000

← Previous Integer #628,071 Browse Full Index Next Integer #628,073 →