λ
Harmonic Matrix

4,032,552

23 × 3 × 168023
Abundant Even Composite

4,032,552 has digital root 3. The neighboring primes are 4032547 and 4032571; its proper-divisor sum differs from the starting integer by 2,016,336.

Prime Factor Structure

Factorization String 2^3 × 3 × 168023
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 10,081,440
Proper Divisor Sum 6,048,888
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #4032547 ← → #4032571

Radix Representation

Decimal 4032552
Binary 1111011000100000101000 (22 bits)
Octal 0o17304050
Hexadecimal 0x3D8828

Divisor Catalog (16)

1 2 3 4 6 8 12 24 168,023 336,046 504,069 672,092 1,008,138 1,344,184 2,016,276 4,032,552

Collatz Trajectory (92 steps to reach 1)

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

4,032,552 2,016,276 1,008,138 504,069 1,512,208 756,104 378,052 189,026 94,513 283,540 141,770 70,885 212,656 106,328 53,164 26,582 13,291 39,874 19,937 59,812 29,906 14,953 44,860 22,430 11,215 33,646 16,823 50,470 25,235 75,706 37,853 113,560 56,780 28,390 14,195 42,586 21,293 63,880 31,940 15,970 7,985 23,956 11,978 5,989 17,968 8,984 4,492 2,246 1,123 3,370 1,685 5,056 2,528 1,264 632 316 158 79 238 119

More profiles

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