λ
Harmonic Matrix

1,535,946

2 × 3 × 281 × 911
Abundant Even Composite

1,535,946 has digital root 6. The neighboring primes are 1535939 and 1535959; its proper-divisor sum differs from the starting integer by 14,316.

Prime Factor Structure

Factorization String 2 × 3 × 281 × 911
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 3,086,208
Proper Divisor Sum 1,550,262
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #1535939 ← → #1535959

Radix Representation

Decimal 1535946
Binary 101110110111111001010 (21 bits)
Octal 0o5667712
Hexadecimal 0x176FCA

Divisor Catalog (16)

1 2 3 6 281 562 843 911 1,686 1,822 2,733 5,466 255,991 511,982 767,973 1,535,946

Collatz Trajectory (194 steps to reach 1)

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

1,535,946 767,973 2,303,920 1,151,960 575,980 287,990 143,995 431,986 215,993 647,980 323,990 161,995 485,986 242,993 728,980 364,490 182,245 546,736 273,368 136,684 68,342 34,171 102,514 51,257 153,772 76,886 38,443 115,330 57,665 172,996 86,498 43,249 129,748 64,874 32,437 97,312 48,656 24,328 12,164 6,082 3,041 9,124 4,562 2,281 6,844 3,422 1,711 5,134 2,567 7,702 3,851 11,554 5,777 17,332 8,666 4,333 13,000 6,500 3,250 1,625

More profiles

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