λ
Harmonic Matrix

3,356,552

23 × 47 × 79 × 113
Deficient Even Composite

3,356,552 has digital root 2. The neighboring primes are 3356539 and 3356557; its proper-divisor sum differs from the starting integer by -146,704.

Prime Factor Structure

Factorization String 2^3 × 47 × 79 × 113
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 6,566,400
Proper Divisor Sum 3,209,848
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #3356539 ← → #3356557

Radix Representation

Decimal 3356552
Binary 1100110011011110001000 (22 bits)
Octal 0o14633610
Hexadecimal 0x333788

Divisor Catalog (32)

1 2 4 8 47 79 94 113 158 188 226 316 376 452 632 904 3,713 5,311 7,426 8,927 10,622 14,852 17,854 21,244 29,704 35,708 42,488 71,416 419,569 839,138 1,678,276 3,356,552

Collatz Trajectory (58 steps to reach 1)

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

3,356,552 1,678,276 839,138 419,569 1,258,708 629,354 314,677 944,032 472,016 236,008 118,004 59,002 29,501 88,504 44,252 22,126 11,063 33,190 16,595 49,786 24,893 74,680 37,340 18,670 9,335 28,006 14,003 42,010 21,005 63,016 31,508 15,754 7,877 23,632 11,816 5,908 2,954 1,477 4,432 2,216 1,108 554 277 832 416 208 104 52 26 13 40 20 10 5 16 8 4 2 1

More profiles

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