λ
Harmonic Matrix

6,318,638

2 × 37 × 103 × 829
Deficient Even Composite

6,318,638 has digital root 8. The neighboring primes are 6318623 and 6318667; its proper-divisor sum differs from the starting integer by -2,796,796.

Prime Factor Structure

Factorization String 2 × 37 × 103 × 829
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 9,840,480
Proper Divisor Sum 3,521,842
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #6318623 ← → #6318667

Radix Representation

Decimal 6318638
Binary 11000000110101000101110 (23 bits)
Octal 0o30065056
Hexadecimal 0x606A2E

Divisor Catalog (16)

1 2 37 74 103 206 829 1,658 3,811 7,622 30,673 61,346 85,387 170,774 3,159,319 6,318,638

Collatz Trajectory (152 steps to reach 1)

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

6,318,638 3,159,319 9,477,958 4,738,979 14,216,938 7,108,469 21,325,408 10,662,704 5,331,352 2,665,676 1,332,838 666,419 1,999,258 999,629 2,998,888 1,499,444 749,722 374,861 1,124,584 562,292 281,146 140,573 421,720 210,860 105,430 52,715 158,146 79,073 237,220 118,610 59,305 177,916 88,958 44,479 133,438 66,719 200,158 100,079 300,238 150,119 450,358 225,179 675,538 337,769 1,013,308 506,654 253,327 759,982 379,991 1,139,974 569,987 1,709,962 854,981 2,564,944 1,282,472 641,236 320,618 160,309 480,928 240,464

More profiles

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