λ
Sigma Notebook

4,734,189

32 × 103 × 5107
Deficient Odd Composite

4,734,189 is odd and not a perfect square. Its factorization is 3^2 × 103 × 5107 and its 12 divisors sum to 6,906,016.

Prime Factor Structure

Factorization String 3^2 × 103 × 5107
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 6,906,016
Proper Divisor Sum 2,171,827
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #4734167 ← → #4734193

Radix Representation

Decimal 4734189
Binary 10010000011110011101101 (23 bits)
Octal 0o22036355
Hexadecimal 0x483CED

Divisor Catalog (12)

1 3 9 103 309 927 5,107 15,321 45,963 526,021 1,578,063 4,734,189

Collatz Trajectory (193 steps to reach 1)

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

4,734,189 14,202,568 7,101,284 3,550,642 1,775,321 5,325,964 2,662,982 1,331,491 3,994,474 1,997,237 5,991,712 2,995,856 1,497,928 748,964 374,482 187,241 561,724 280,862 140,431 421,294 210,647 631,942 315,971 947,914 473,957 1,421,872 710,936 355,468 177,734 88,867 266,602 133,301 399,904 199,952 99,976 49,988 24,994 12,497 37,492 18,746 9,373 28,120 14,060 7,030 3,515 10,546 5,273 15,820 7,910 3,955 11,866 5,933 17,800 8,900 4,450 2,225 6,676 3,338 1,669 5,008

More profiles

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