708,652

2² × 7 × 25309

708,652 factors as 2^2 × 7 × 25309. Its 12 positive divisors give a proper-divisor sum of 708,708, so this integer is abundant. The Collatz stopping time is 105 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 25309

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 1,417,360

Proper Divisor Sum 708,708

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #708647 ← → #708667

Radix Representation

Decimal	708652
Binary	10101101000000101100 (20 bits)
Octal	0o2550054
Hexadecimal	0xAD02C

Divisor Catalog (12)

1 2 4 7 14 28 25,309 50,618 101,236 177,163 354,326 708,652

Collatz Trajectory (105 steps to reach 1)

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

708,652 354,326 177,163 531,490 265,745 797,236 398,618 199,309 597,928 298,964 149,482 74,741 224,224 112,112 56,056 28,028 14,014 7,007 21,022 10,511 31,534 15,767 47,302 23,651 70,954 35,477 106,432 53,216 26,608 13,304 6,652 3,326 1,663 4,990 2,495 7,486 3,743 11,230 5,615 16,846 8,423 25,270 12,635 37,906 18,953 56,860 28,430 14,215 42,646 21,323 63,970 31,985 95,956 47,978 23,989 71,968 35,984 17,992 8,996 4,498

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