λ
Harmonic Matrix

1,034,584

23 × 79 × 1637
Deficient Even Composite

1,034,584 has digital root 7. The neighboring primes are 1034581 and 1034591; its proper-divisor sum differs from the starting integer by -103,568.

Prime Factor Structure

Factorization String 2^3 × 79 × 1637
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 1,965,600
Proper Divisor Sum 931,016
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #1034581 ← → #1034591

Radix Representation

Decimal 1034584
Binary 11111100100101011000 (20 bits)
Octal 0o3744530
Hexadecimal 0xFC958

Divisor Catalog (16)

1 2 4 8 79 158 316 632 1,637 3,274 6,548 13,096 129,323 258,646 517,292 1,034,584

Collatz Trajectory (90 steps to reach 1)

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

1,034,584 517,292 258,646 129,323 387,970 193,985 581,956 290,978 145,489 436,468 218,234 109,117 327,352 163,676 81,838 40,919 122,758 61,379 184,138 92,069 276,208 138,104 69,052 34,526 17,263 51,790 25,895 77,686 38,843 116,530 58,265 174,796 87,398 43,699 131,098 65,549 196,648 98,324 49,162 24,581 73,744 36,872 18,436 9,218 4,609 13,828 6,914 3,457 10,372 5,186 2,593 7,780 3,890 1,945 5,836 2,918 1,459 4,378 2,189 6,568

More profiles

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