λ
Harmonic Matrix

3,535,479

32 × 392831
Deficient Odd Composite

3,535,479 has digital root 9. The neighboring primes are 3535459 and 3535489; its proper-divisor sum differs from the starting integer by -1,964,142.

Prime Factor Structure

Factorization String 3^2 × 392831
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 5,106,816
Proper Divisor Sum 1,571,337
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #3535459 ← → #3535489

Radix Representation

Decimal 3535479
Binary 1101011111001001110111 (22 bits)
Octal 0o15371167
Hexadecimal 0x35F277

Divisor Catalog (6)

1 3 9 392,831 1,178,493 3,535,479

Collatz Trajectory (172 steps to reach 1)

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

3,535,479 10,606,438 5,303,219 15,909,658 7,954,829 23,864,488 11,932,244 5,966,122 2,983,061 8,949,184 4,474,592 2,237,296 1,118,648 559,324 279,662 139,831 419,494 209,747 629,242 314,621 943,864 471,932 235,966 117,983 353,950 176,975 530,926 265,463 796,390 398,195 1,194,586 597,293 1,791,880 895,940 447,970 223,985 671,956 335,978 167,989 503,968 251,984 125,992 62,996 31,498 15,749 47,248 23,624 11,812 5,906 2,953 8,860 4,430 2,215 6,646 3,323 9,970 4,985 14,956 7,478 3,739

More profiles

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