λ
Harmonic Matrix

671,964

22 × 3 × 55997
Abundant Even Composite

671,964 has digital root 6. The neighboring primes are 671947 and 671969; its proper-divisor sum differs from the starting integer by 224,016.

Prime Factor Structure

Factorization String 2^2 × 3 × 55997
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 1,567,944
Proper Divisor Sum 895,980
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #671947 ← → #671969

Radix Representation

Decimal 671964
Binary 10100100000011011100 (20 bits)
Octal 0o2440334
Hexadecimal 0xA40DC

Divisor Catalog (12)

1 2 3 4 6 12 55,997 111,994 167,991 223,988 335,982 671,964

Collatz Trajectory (92 steps to reach 1)

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

671,964 335,982 167,991 503,974 251,987 755,962 377,981 1,133,944 566,972 283,486 141,743 425,230 212,615 637,846 318,923 956,770 478,385 1,435,156 717,578 358,789 1,076,368 538,184 269,092 134,546 67,273 201,820 100,910 50,455 151,366 75,683 227,050 113,525 340,576 170,288 85,144 42,572 21,286 10,643 31,930 15,965 47,896 23,948 11,974 5,987 17,962 8,981 26,944 13,472 6,736 3,368 1,684 842 421 1,264 632 316 158 79 238 119

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