λ
Harmonic Matrix

1,004,614

2 × 13 × 38639
Deficient Even Composite

1,004,614 has digital root 7. The neighboring primes are 1004599 and 1004651; its proper-divisor sum differs from the starting integer by -386,348.

Prime Factor Structure

Factorization String 2 × 13 × 38639
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,622,880
Proper Divisor Sum 618,266
Digit Sum / Digital Root 16 (Root: 7)
Adjacent Primes #1004599 ← → #1004651

Radix Representation

Decimal 1004614
Binary 11110101010001000110 (20 bits)
Octal 0o3652106
Hexadecimal 0xF5446

Divisor Catalog (8)

1 2 13 26 38,639 77,278 502,307 1,004,614

Collatz Trajectory (139 steps to reach 1)

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

1,004,614 502,307 1,506,922 753,461 2,260,384 1,130,192 565,096 282,548 141,274 70,637 211,912 105,956 52,978 26,489 79,468 39,734 19,867 59,602 29,801 89,404 44,702 22,351 67,054 33,527 100,582 50,291 150,874 75,437 226,312 113,156 56,578 28,289 84,868 42,434 21,217 63,652 31,826 15,913 47,740 23,870 11,935 35,806 17,903 53,710 26,855 80,566 40,283 120,850 60,425 181,276 90,638 45,319 135,958 67,979 203,938 101,969 305,908 152,954 76,477 229,432

More profiles

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