696,177

3² × 103 × 751

696,177 factors as 3^2 × 103 × 751. Its 12 positive divisors give a proper-divisor sum of 320,527, so this integer is deficient. The Collatz stopping time is 167 steps.

Prime Factor Structure

Factorization String 3^2 × 103 × 751

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 1,016,704

Proper Divisor Sum 320,527

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #696149 ← → #696181

Radix Representation

Decimal	696177
Binary	10101001111101110001 (20 bits)
Octal	0o2517561
Hexadecimal	0xA9F71

Divisor Catalog (12)

1 3 9 103 309 751 927 2,253 6,759 77,353 232,059 696,177

Collatz Trajectory (167 steps to reach 1)

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

696,177 2,088,532 1,044,266 522,133 1,566,400 783,200 391,600 195,800 97,900 48,950 24,475 73,426 36,713 110,140 55,070 27,535 82,606 41,303 123,910 61,955 185,866 92,933 278,800 139,400 69,700 34,850 17,425 52,276 26,138 13,069 39,208 19,604 9,802 4,901 14,704 7,352 3,676 1,838 919 2,758 1,379 4,138 2,069 6,208 3,104 1,552 776 388 194 97 292 146 73 220 110 55 166 83 250 125

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #696,176 Browse Full Index Next Integer #696,178 →