λ
Harmonic Matrix

5,624,078

2 × 61 × 46099
Deficient Even Composite

5,624,078 has digital root 5. The neighboring primes are 5624071 and 5624083; its proper-divisor sum differs from the starting integer by -2,673,556.

Prime Factor Structure

Factorization String 2 × 61 × 46099
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 8,574,600
Proper Divisor Sum 2,950,522
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #5624071 ← → #5624083

Radix Representation

Decimal 5624078
Binary 10101011101000100001110 (23 bits)
Octal 0o25350416
Hexadecimal 0x55D10E

Divisor Catalog (8)

1 2 61 122 46,099 92,198 2,812,039 5,624,078

Collatz Trajectory (276 steps to reach 1)

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

5,624,078 2,812,039 8,436,118 4,218,059 12,654,178 6,327,089 18,981,268 9,490,634 4,745,317 14,235,952 7,117,976 3,558,988 1,779,494 889,747 2,669,242 1,334,621 4,003,864 2,001,932 1,000,966 500,483 1,501,450 750,725 2,252,176 1,126,088 563,044 281,522 140,761 422,284 211,142 105,571 316,714 158,357 475,072 237,536 118,768 59,384 29,692 14,846 7,423 22,270 11,135 33,406 16,703 50,110 25,055 75,166 37,583 112,750 56,375 169,126 84,563 253,690 126,845 380,536 190,268 95,134 47,567 142,702 71,351 214,054

More profiles

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