707,776

2⁶ × 11059

707,776 has digital root 7. The neighboring primes are 707767 and 707789; its proper-divisor sum differs from the starting integer by -10,932.

Prime Factor Structure

Factorization String 2^6 × 11059

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 14

Divisor Sum (σ) 1,404,620

Proper Divisor Sum 696,844

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #707767 ← → #707789

Radix Representation

Decimal	707776
Binary	10101100110011000000 (20 bits)
Octal	0o2546300
Hexadecimal	0xACCC0

Divisor Catalog (14)

1 2 4 8 16 32 64 11,059 22,118 44,236 88,472 176,944 353,888 707,776

Collatz Trajectory (48 steps to reach 1)

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

707,776 353,888 176,944 88,472 44,236 22,118 11,059 33,178 16,589 49,768 24,884 12,442 6,221 18,664 9,332 4,666 2,333 7,000 3,500 1,750 875 2,626 1,313 3,940 1,970 985 2,956 1,478 739 2,218 1,109 3,328 1,664 832 416 208 104 52 26 13 40 20 10 5 16 8 4 2 1

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