761,728

2⁷ × 11 × 541

761,728 is even and not a perfect square. Its factorization is 2^7 × 11 × 541 and its 32 divisors sum to 1,658,520.

Prime Factor Structure

Factorization String 2^7 × 11 × 541

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 1,658,520

Proper Divisor Sum 896,792

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #761713 ← → #761731

Radix Representation

Decimal	761728
Binary	10111001111110000000 (20 bits)
Octal	0o2717600
Hexadecimal	0xB9F80

Divisor Catalog (32)

1 2 4 8 11 16 22 32 44 64 88 128 176 352 541 704 1,082 1,408 2,164 4,328 5,951 8,656 11,902 17,312 23,804 34,624 47,608 69,248 95,216 190,432 380,864 761,728

Collatz Trajectory (56 steps to reach 1)

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

761,728 380,864 190,432 95,216 47,608 23,804 11,902 5,951 17,854 8,927 26,782 13,391 40,174 20,087 60,262 30,131 90,394 45,197 135,592 67,796 33,898 16,949 50,848 25,424 12,712 6,356 3,178 1,589 4,768 2,384 1,192 596 298 149 448 224 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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