λ
Sigma Notebook

5,123,157

3 × 13 × 131363
Deficient Odd Composite

5,123,157 is odd and not a perfect square. Its factorization is 3 × 13 × 131363 and its 8 divisors sum to 7,356,384.

Prime Factor Structure

Factorization String 3 × 13 × 131363
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 7,356,384
Proper Divisor Sum 2,233,227
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #5123143 ← → #5123177

Radix Representation

Decimal 5123157
Binary 10011100010110001010101 (23 bits)
Octal 0o23426125
Hexadecimal 0x4E2C55

Divisor Catalog (8)

1 3 13 39 131,363 394,089 1,707,719 5,123,157

Collatz Trajectory (126 steps to reach 1)

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

5,123,157 15,369,472 7,684,736 3,842,368 1,921,184 960,592 480,296 240,148 120,074 60,037 180,112 90,056 45,028 22,514 11,257 33,772 16,886 8,443 25,330 12,665 37,996 18,998 9,499 28,498 14,249 42,748 21,374 10,687 32,062 16,031 48,094 24,047 72,142 36,071 108,214 54,107 162,322 81,161 243,484 121,742 60,871 182,614 91,307 273,922 136,961 410,884 205,442 102,721 308,164 154,082 77,041 231,124 115,562 57,781 173,344 86,672 43,336 21,668 10,834 5,417

More profiles

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