λ
Harmonic Matrix

4,310,615

5 × 862123
Deficient Odd Composite

4,310,615 has digital root 2. The neighboring primes are 4310609 and 4310629; its proper-divisor sum differs from the starting integer by -3,448,486.

Prime Factor Structure

Factorization String 5 × 862123
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 5,172,744
Proper Divisor Sum 862,129
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #4310609 ← → #4310629

Radix Representation

Decimal 4310615
Binary 10000011100011001010111 (23 bits)
Octal 0o20343127
Hexadecimal 0x41C657

Divisor Catalog (4)

1 5 862,123 4,310,615

Collatz Trajectory (242 steps to reach 1)

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

4,310,615 12,931,846 6,465,923 19,397,770 9,698,885 29,096,656 14,548,328 7,274,164 3,637,082 1,818,541 5,455,624 2,727,812 1,363,906 681,953 2,045,860 1,022,930 511,465 1,534,396 767,198 383,599 1,150,798 575,399 1,726,198 863,099 2,589,298 1,294,649 3,883,948 1,941,974 970,987 2,912,962 1,456,481 4,369,444 2,184,722 1,092,361 3,277,084 1,638,542 819,271 2,457,814 1,228,907 3,686,722 1,843,361 5,530,084 2,765,042 1,382,521 4,147,564 2,073,782 1,036,891 3,110,674 1,555,337 4,666,012 2,333,006 1,166,503 3,499,510 1,749,755 5,249,266 2,624,633 7,873,900 3,936,950 1,968,475 5,905,426

More profiles

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