λ
Harmonic Matrix

3,717,512

23 × 47 × 9887
Deficient Even Composite

3,717,512 has digital root 8. The neighboring primes are 3717499 and 3717533; its proper-divisor sum differs from the starting integer by -315,664.

Prime Factor Structure

Factorization String 2^3 × 47 × 9887
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 7,119,360
Proper Divisor Sum 3,401,848
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #3717499 ← → #3717533

Radix Representation

Decimal 3717512
Binary 1110001011100110001000 (22 bits)
Octal 0o16134610
Hexadecimal 0x38B988

Divisor Catalog (16)

1 2 4 8 47 94 188 376 9,887 19,774 39,548 79,096 464,689 929,378 1,858,756 3,717,512

Collatz Trajectory (79 steps to reach 1)

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

3,717,512 1,858,756 929,378 464,689 1,394,068 697,034 348,517 1,045,552 522,776 261,388 130,694 65,347 196,042 98,021 294,064 147,032 73,516 36,758 18,379 55,138 27,569 82,708 41,354 20,677 62,032 31,016 15,508 7,754 3,877 11,632 5,816 2,908 1,454 727 2,182 1,091 3,274 1,637 4,912 2,456 1,228 614 307 922 461 1,384 692 346 173 520 260 130 65 196 98 49 148 74 37 112

More profiles

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