λ
Match Zalai

698,343

3 × 17 × 13693
Deficient Odd Composite

698,343 factors as 3 × 17 × 13693. Its 8 positive divisors give a proper-divisor sum of 287,625, so this integer is deficient. The Collatz stopping time is 180 steps.

Prime Factor Structure

Factorization String 3 × 17 × 13693
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 985,968
Proper Divisor Sum 287,625
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #698339 ← → #698359

Radix Representation

Decimal 698343
Binary 10101010011111100111 (20 bits)
Octal 0o2523747
Hexadecimal 0xAA7E7

Divisor Catalog (8)

1 3 17 51 13,693 41,079 232,781 698,343

Collatz Trajectory (180 steps to reach 1)

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

698,343 2,095,030 1,047,515 3,142,546 1,571,273 4,713,820 2,356,910 1,178,455 3,535,366 1,767,683 5,303,050 2,651,525 7,954,576 3,977,288 1,988,644 994,322 497,161 1,491,484 745,742 372,871 1,118,614 559,307 1,677,922 838,961 2,516,884 1,258,442 629,221 1,887,664 943,832 471,916 235,958 117,979 353,938 176,969 530,908 265,454 132,727 398,182 199,091 597,274 298,637 895,912 447,956 223,978 111,989 335,968 167,984 83,992 41,996 20,998 10,499 31,498 15,749 47,248 23,624 11,812 5,906 2,953 8,860 4,430

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