677,809

11 × 43 × 1433

677,809 factors as 11 × 43 × 1433. Its 8 positive divisors give a proper-divisor sum of 79,343, so this integer is deficient. The Collatz stopping time is 61 steps.

Prime Factor Structure

Factorization String 11 × 43 × 1433

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 757,152

Proper Divisor Sum 79,343

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #677791 ← → #677813

Radix Representation

Decimal	677809
Binary	10100101011110110001 (20 bits)
Octal	0o2453661
Hexadecimal	0xA57B1

Divisor Catalog (8)

1 11 43 473 1,433 15,763 61,619 677,809

Collatz Trajectory (61 steps to reach 1)

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

677,809 2,033,428 1,016,714 508,357 1,525,072 762,536 381,268 190,634 95,317 285,952 142,976 71,488 35,744 17,872 8,936 4,468 2,234 1,117 3,352 1,676 838 419 1,258 629 1,888 944 472 236 118 59 178 89 268 134 67 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4

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