λ
Harmonic Matrix

4,841,472

213 × 3 × 197
Abundant Even Composite

4,841,472 has digital root 3. The neighboring primes are 4841467 and 4841483; its proper-divisor sum differs from the starting integer by 3,292,392.

Prime Factor Structure

Factorization String 2^13 × 3 × 197
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 12,975,336
Proper Divisor Sum 8,133,864
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #4841467 ← → #4841483

Radix Representation

Decimal 4841472
Binary 10010011110000000000000 (23 bits)
Octal 0o22360000
Hexadecimal 0x49E000

Divisor Catalog (56)

1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 197 256 384 394 512 591 768 788 1,024 1,182 1,536 1,576 2,048 2,364 3,072 3,152 4,096 4,728 6,144 6,304 8,192 9,456 12,288 12,608 18,912 24,576 25,216 37,824 50,432 75,648 100,864 151,296 201,728 302,592 403,456 605,184 806,912 1,210,368 1,613,824 2,420,736 4,841,472

Collatz Trajectory (69 steps to reach 1)

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

4,841,472 2,420,736 1,210,368 605,184 302,592 151,296 75,648 37,824 18,912 9,456 4,728 2,364 1,182 591 1,774 887 2,662 1,331 3,994 1,997 5,992 2,996 1,498 749 2,248 1,124 562 281 844 422 211 634 317 952 476 238 119 358 179 538 269 808 404 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17 52 26

More profiles

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