1,007,708

2² × 13 × 19379

1,007,708 factors as 2^2 × 13 × 19379. Its 12 positive divisors give a proper-divisor sum of 891,532, so this integer is deficient. The Collatz stopping time is 121 steps.

Prime Factor Structure

Factorization String 2^2 × 13 × 19379

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 1,899,240

Proper Divisor Sum 891,532

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #1007701 ← → #1007711

Radix Representation

Decimal	1007708
Binary	11110110000001011100 (20 bits)
Octal	0o3660134
Hexadecimal	0xF605C

Divisor Catalog (12)

1 2 4 13 26 52 19,379 38,758 77,516 251,927 503,854 1,007,708

Collatz Trajectory (121 steps to reach 1)

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

1,007,708 503,854 251,927 755,782 377,891 1,133,674 566,837 1,700,512 850,256 425,128 212,564 106,282 53,141 159,424 79,712 39,856 19,928 9,964 4,982 2,491 7,474 3,737 11,212 5,606 2,803 8,410 4,205 12,616 6,308 3,154 1,577 4,732 2,366 1,183 3,550 1,775 5,326 2,663 7,990 3,995 11,986 5,993 17,980 8,990 4,495 13,486 6,743 20,230 10,115 30,346 15,173 45,520 22,760 11,380 5,690 2,845 8,536 4,268 2,134 1,067

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