λ
Harmonic Matrix

2,558,861

2558861
Deficient Odd Prime

2,558,861 has digital root 8. The neighboring primes are 2558849 and 2558879; its proper-divisor sum differs from the starting integer by -2,558,860.

Prime Factor Structure

Factorization String 2558861
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 2,558,862
Proper Divisor Sum 1
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #2558849 ← → #2558879

Radix Representation

Decimal 2558861
Binary 1001110000101110001101 (22 bits)
Octal 0o11605615
Hexadecimal 0x270B8D

Divisor Catalog (2)

Collatz Trajectory (73 steps to reach 1)

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

2,558,861 7,676,584 3,838,292 1,919,146 959,573 2,878,720 1,439,360 719,680 359,840 179,920 89,960 44,980 22,490 11,245 33,736 16,868 8,434 4,217 12,652 6,326 3,163 9,490 4,745 14,236 7,118 3,559 10,678 5,339 16,018 8,009 24,028 12,014 6,007 18,022 9,011 27,034 13,517 40,552 20,276 10,138 5,069 15,208 7,604 3,802 1,901 5,704 2,852 1,426 713 2,140 1,070 535 1,606 803 2,410 1,205 3,616 1,808 904 452

More profiles

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