λ
Sigma Notebook

3,972,257

157 × 25301
Deficient Odd Composite

3,972,257 is odd and not a perfect square. Its factorization is 157 × 25301 and its 4 divisors sum to 3,997,716.

Prime Factor Structure

Factorization String 157 × 25301
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 3,997,716
Proper Divisor Sum 25,459
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #3972251 ← → #3972263

Radix Representation

Decimal 3972257
Binary 1111001001110010100001 (22 bits)
Octal 0o17116241
Hexadecimal 0x3C9CA1

Divisor Catalog (4)

1 157 25,301 3,972,257

Collatz Trajectory (216 steps to reach 1)

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

3,972,257 11,916,772 5,958,386 2,979,193 8,937,580 4,468,790 2,234,395 6,703,186 3,351,593 10,054,780 5,027,390 2,513,695 7,541,086 3,770,543 11,311,630 5,655,815 16,967,446 8,483,723 25,451,170 12,725,585 38,176,756 19,088,378 9,544,189 28,632,568 14,316,284 7,158,142 3,579,071 10,737,214 5,368,607 16,105,822 8,052,911 24,158,734 12,079,367 36,238,102 18,119,051 54,357,154 27,178,577 81,535,732 40,767,866 20,383,933 61,151,800 30,575,900 15,287,950 7,643,975 22,931,926 11,465,963 34,397,890 17,198,945 51,596,836 25,798,418 12,899,209 38,697,628 19,348,814 9,674,407 29,023,222 14,511,611 43,534,834 21,767,417 65,302,252 32,651,126

More profiles

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