λ
Zalai Atlas

4,972,647

3 × 47 × 35267
Deficient Odd Composite

4,972,647 has the prime decomposition 3 × 47 × 35267. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 47 × 35267
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 6,771,456
Proper Divisor Sum 1,798,809
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #4972633 ← → #4972651

Radix Representation

Decimal 4972647
Binary 10010111110000001100111 (23 bits)
Octal 0o22760147
Hexadecimal 0x4BE067

Divisor Catalog (8)

1 3 47 141 35,267 105,801 1,657,549 4,972,647

Collatz Trajectory (206 steps to reach 1)

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

4,972,647 14,917,942 7,458,971 22,376,914 11,188,457 33,565,372 16,782,686 8,391,343 25,174,030 12,587,015 37,761,046 18,880,523 56,641,570 28,320,785 84,962,356 42,481,178 21,240,589 63,721,768 31,860,884 15,930,442 7,965,221 23,895,664 11,947,832 5,973,916 2,986,958 1,493,479 4,480,438 2,240,219 6,720,658 3,360,329 10,080,988 5,040,494 2,520,247 7,560,742 3,780,371 11,341,114 5,670,557 17,011,672 8,505,836 4,252,918 2,126,459 6,379,378 3,189,689 9,569,068 4,784,534 2,392,267 7,176,802 3,588,401 10,765,204 5,382,602 2,691,301 8,073,904 4,036,952 2,018,476 1,009,238 504,619 1,513,858 756,929 2,270,788 1,135,394

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