λ
Math Directory

1,797,357

3 × 43 × 13933
Deficient Odd Composite

1,797,357 factors as 3 × 43 × 13933. Its 8 positive divisors give a proper-divisor sum of 655,027, so this integer is deficient. The Collatz stopping time is 189 steps.

Prime Factor Structure

Factorization String 3 × 43 × 13933
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 2,452,384
Proper Divisor Sum 655,027
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #1797337 ← → #1797371

Radix Representation

Decimal 1797357
Binary 110110110110011101101 (21 bits)
Octal 0o6666355
Hexadecimal 0x1B6CED

Divisor Catalog (8)

1 3 43 129 13,933 41,799 599,119 1,797,357

Collatz Trajectory (189 steps to reach 1)

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

1,797,357 5,392,072 2,696,036 1,348,018 674,009 2,022,028 1,011,014 505,507 1,516,522 758,261 2,274,784 1,137,392 568,696 284,348 142,174 71,087 213,262 106,631 319,894 159,947 479,842 239,921 719,764 359,882 179,941 539,824 269,912 134,956 67,478 33,739 101,218 50,609 151,828 75,914 37,957 113,872 56,936 28,468 14,234 7,117 21,352 10,676 5,338 2,669 8,008 4,004 2,002 1,001 3,004 1,502 751 2,254 1,127 3,382 1,691 5,074 2,537 7,612 3,806 1,903

More profiles

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