λ
Harmonic Matrix

5,318,326

2 × 13 × 43 × 67 × 71
Deficient Even Composite

5,318,326 has digital root 1. The neighboring primes are 5318321 and 5318333; its proper-divisor sum differs from the starting integer by -1,588,844.

Prime Factor Structure

Factorization String 2 × 13 × 43 × 67 × 71
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 9,047,808
Proper Divisor Sum 3,729,482
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #5318321 ← → #5318333

Radix Representation

Decimal 5318326
Binary 10100010010011010110110 (23 bits)
Octal 0o24223266
Hexadecimal 0x5126B6

Divisor Catalog (32)

1 2 13 26 43 67 71 86 134 142 559 871 923 1,118 1,742 1,846 2,881 3,053 4,757 5,762 6,106 9,514 37,453 39,689 61,841 74,906 79,378 123,682 204,551 409,102 2,659,163 5,318,326

Collatz Trajectory (232 steps to reach 1)

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

5,318,326 2,659,163 7,977,490 3,988,745 11,966,236 5,983,118 2,991,559 8,974,678 4,487,339 13,462,018 6,731,009 20,193,028 10,096,514 5,048,257 15,144,772 7,572,386 3,786,193 11,358,580 5,679,290 2,839,645 8,518,936 4,259,468 2,129,734 1,064,867 3,194,602 1,597,301 4,791,904 2,395,952 1,197,976 598,988 299,494 149,747 449,242 224,621 673,864 336,932 168,466 84,233 252,700 126,350 63,175 189,526 94,763 284,290 142,145 426,436 213,218 106,609 319,828 159,914 79,957 239,872 119,936 59,968 29,984 14,992 7,496 3,748 1,874 937

More profiles

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