λ
Harmonic Matrix

5,624,187

3 × 1874729
Deficient Odd Composite

5,624,187 has digital root 6. The neighboring primes are 5624183 and 5624189; its proper-divisor sum differs from the starting integer by -3,749,454.

Prime Factor Structure

Factorization String 3 × 1874729
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 7,498,920
Proper Divisor Sum 1,874,733
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #5624183 ← → #5624189

Radix Representation

Decimal 5624187
Binary 10101011101000101111011 (23 bits)
Octal 0o25350573
Hexadecimal 0x55D17B

Divisor Catalog (4)

1 3 1,874,729 5,624,187

Collatz Trajectory (276 steps to reach 1)

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

5,624,187 16,872,562 8,436,281 25,308,844 12,654,422 6,327,211 18,981,634 9,490,817 28,472,452 14,236,226 7,118,113 21,354,340 10,677,170 5,338,585 16,015,756 8,007,878 4,003,939 12,011,818 6,005,909 18,017,728 9,008,864 4,504,432 2,252,216 1,126,108 563,054 281,527 844,582 422,291 1,266,874 633,437 1,900,312 950,156 475,078 237,539 712,618 356,309 1,068,928 534,464 267,232 133,616 66,808 33,404 16,702 8,351 25,054 12,527 37,582 18,791 56,374 28,187 84,562 42,281 126,844 63,422 31,711 95,134 47,567 142,702 71,351 214,054

More profiles

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