λ
Harmonic Matrix

5,021,171

17 × 295363
Deficient Odd Composite

5,021,171 has digital root 8. The neighboring primes are 5021143 and 5021173; its proper-divisor sum differs from the starting integer by -4,725,790.

Prime Factor Structure

Factorization String 17 × 295363
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 5,316,552
Proper Divisor Sum 295,381
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #5021143 ← → #5021173

Radix Representation

Decimal 5021171
Binary 10011001001110111110011 (23 bits)
Octal 0o23116763
Hexadecimal 0x4C9DF3

Divisor Catalog (4)

1 17 295,363 5,021,171

Collatz Trajectory (113 steps to reach 1)

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

5,021,171 15,063,514 7,531,757 22,595,272 11,297,636 5,648,818 2,824,409 8,473,228 4,236,614 2,118,307 6,354,922 3,177,461 9,532,384 4,766,192 2,383,096 1,191,548 595,774 297,887 893,662 446,831 1,340,494 670,247 2,010,742 1,005,371 3,016,114 1,508,057 4,524,172 2,262,086 1,131,043 3,393,130 1,696,565 5,089,696 2,544,848 1,272,424 636,212 318,106 159,053 477,160 238,580 119,290 59,645 178,936 89,468 44,734 22,367 67,102 33,551 100,654 50,327 150,982 75,491 226,474 113,237 339,712 169,856 84,928 42,464 21,232 10,616 5,308

More profiles

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