λ
Math Directory

1,196,729

1196729
Deficient Odd Prime

1,196,729 factors as 1196729. Its 2 positive divisors give a proper-divisor sum of 1, so this integer is deficient. The Collatz stopping time is 160 steps.

Prime Factor Structure

Factorization String 1196729
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 1,196,730
Proper Divisor Sum 1
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #1196719 ← → #1196731

Radix Representation

Decimal 1196729
Binary 100100100001010111001 (21 bits)
Octal 0o4441271
Hexadecimal 0x1242B9

Divisor Catalog (2)

Collatz Trajectory (160 steps to reach 1)

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

1,196,729 3,590,188 1,795,094 897,547 2,692,642 1,346,321 4,038,964 2,019,482 1,009,741 3,029,224 1,514,612 757,306 378,653 1,135,960 567,980 283,990 141,995 425,986 212,993 638,980 319,490 159,745 479,236 239,618 119,809 359,428 179,714 89,857 269,572 134,786 67,393 202,180 101,090 50,545 151,636 75,818 37,909 113,728 56,864 28,432 14,216 7,108 3,554 1,777 5,332 2,666 1,333 4,000 2,000 1,000 500 250 125 376 188 94 47 142 71 214

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