λ
Math Directory

700,049

7 × 97 × 1031
Deficient Odd Composite

700,049 factors as 7 × 97 × 1031. Its 8 positive divisors give a proper-divisor sum of 109,039, so this integer is deficient. The Collatz stopping time is 61 steps.

Prime Factor Structure

Factorization String 7 × 97 × 1031
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 809,088
Proper Divisor Sum 109,039
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #700027 ← → #700057

Radix Representation

Decimal 700049
Binary 10101010111010010001 (20 bits)
Octal 0o2527221
Hexadecimal 0xAAE91

Divisor Catalog (8)

1 7 97 679 1,031 7,217 100,007 700,049

Collatz Trajectory (61 steps to reach 1)

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

700,049 2,100,148 1,050,074 525,037 1,575,112 787,556 393,778 196,889 590,668 295,334 147,667 443,002 221,501 664,504 332,252 166,126 83,063 249,190 124,595 373,786 186,893 560,680 280,340 140,170 70,085 210,256 105,128 52,564 26,282 13,141 39,424 19,712 9,856 4,928 2,464 1,232 616 308 154 77 232 116 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4

More profiles

← Previous Integer #700,048 Browse Full Index Next Integer #700,050 →