λ
Harmonic Matrix

4,246,659

32 × 312 × 491
Deficient Odd Composite

4,246,659 has digital root 9. The neighboring primes are 4246609 and 4246679; its proper-divisor sum differs from the starting integer by -2,142,090.

Prime Factor Structure

Factorization String 3^2 × 31^2 × 491
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 18
Divisor Sum (σ) 6,351,228
Proper Divisor Sum 2,104,569
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #4246609 ← → #4246679

Radix Representation

Decimal 4246659
Binary 10000001100110010000011 (23 bits)
Octal 0o20146203
Hexadecimal 0x40CC83

Divisor Catalog (18)

1 3 9 31 93 279 491 961 1,473 2,883 4,419 8,649 15,221 45,663 136,989 471,851 1,415,553 4,246,659

Collatz Trajectory (136 steps to reach 1)

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

4,246,659 12,739,978 6,369,989 19,109,968 9,554,984 4,777,492 2,388,746 1,194,373 3,583,120 1,791,560 895,780 447,890 223,945 671,836 335,918 167,959 503,878 251,939 755,818 377,909 1,133,728 566,864 283,432 141,716 70,858 35,429 106,288 53,144 26,572 13,286 6,643 19,930 9,965 29,896 14,948 7,474 3,737 11,212 5,606 2,803 8,410 4,205 12,616 6,308 3,154 1,577 4,732 2,366 1,183 3,550 1,775 5,326 2,663 7,990 3,995 11,986 5,993 17,980 8,990 4,495

More profiles

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