λ
Harmonic Matrix

4,909,121

7 × 137 × 5119
Deficient Odd Composite

4,909,121 has digital root 8. The neighboring primes are 4909117 and 4909147; its proper-divisor sum differs from the starting integer by -4,165,762.

Prime Factor Structure

Factorization String 7 × 137 × 5119
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 5,652,480
Proper Divisor Sum 743,359
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #4909117 ← → #4909147

Radix Representation

Decimal 4909121
Binary 10010101110100001000001 (23 bits)
Octal 0o22564101
Hexadecimal 0x4AE841

Divisor Catalog (8)

1 7 137 959 5,119 35,833 701,303 4,909,121

Collatz Trajectory (281 steps to reach 1)

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

4,909,121 14,727,364 7,363,682 3,681,841 11,045,524 5,522,762 2,761,381 8,284,144 4,142,072 2,071,036 1,035,518 517,759 1,553,278 776,639 2,329,918 1,164,959 3,494,878 1,747,439 5,242,318 2,621,159 7,863,478 3,931,739 11,795,218 5,897,609 17,692,828 8,846,414 4,423,207 13,269,622 6,634,811 19,904,434 9,952,217 29,856,652 14,928,326 7,464,163 22,392,490 11,196,245 33,588,736 16,794,368 8,397,184 4,198,592 2,099,296 1,049,648 524,824 262,412 131,206 65,603 196,810 98,405 295,216 147,608 73,804 36,902 18,451 55,354 27,677 83,032 41,516 20,758 10,379 31,138

More profiles

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