λ
Harmonic Matrix

2,421,213

3 × 807071
Deficient Odd Composite

2,421,213 has digital root 6. The neighboring primes are 2421203 and 2421229; its proper-divisor sum differs from the starting integer by -1,614,138.

Prime Factor Structure

Factorization String 3 × 807071
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 3,228,288
Proper Divisor Sum 807,075
Digit Sum / Digital Root 15 (Root: 6)
Adjacent Primes #2421203 ← → #2421229

Radix Representation

Decimal 2421213
Binary 1001001111000111011101 (22 bits)
Octal 0o11170735
Hexadecimal 0x24F1DD

Divisor Catalog (4)

1 3 807,071 2,421,213

Collatz Trajectory (68 steps to reach 1)

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

2,421,213 7,263,640 3,631,820 1,815,910 907,955 2,723,866 1,361,933 4,085,800 2,042,900 1,021,450 510,725 1,532,176 766,088 383,044 191,522 95,761 287,284 143,642 71,821 215,464 107,732 53,866 26,933 80,800 40,400 20,200 10,100 5,050 2,525 7,576 3,788 1,894 947 2,842 1,421 4,264 2,132 1,066 533 1,600 800 400 200 100 50 25 76 38 19 58 29 88 44 22 11 34 17 52 26 13

More profiles

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