λ
Harmonic Matrix

1,026,542

2 × 11 × 29 × 1609
Deficient Even Composite

1,026,542 has digital root 2. The neighboring primes are 1026521 and 1026547; its proper-divisor sum differs from the starting integer by -314,284.

Prime Factor Structure

Factorization String 2 × 11 × 29 × 1609
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 1,738,800
Proper Divisor Sum 712,258
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #1026521 ← → #1026547

Radix Representation

Decimal 1026542
Binary 11111010100111101110 (20 bits)
Octal 0o3724756
Hexadecimal 0xFA9EE

Divisor Catalog (16)

1 2 11 22 29 58 319 638 1,609 3,218 17,699 35,398 46,661 93,322 513,271 1,026,542

Collatz Trajectory (103 steps to reach 1)

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

1,026,542 513,271 1,539,814 769,907 2,309,722 1,154,861 3,464,584 1,732,292 866,146 433,073 1,299,220 649,610 324,805 974,416 487,208 243,604 121,802 60,901 182,704 91,352 45,676 22,838 11,419 34,258 17,129 51,388 25,694 12,847 38,542 19,271 57,814 28,907 86,722 43,361 130,084 65,042 32,521 97,564 48,782 24,391 73,174 36,587 109,762 54,881 164,644 82,322 41,161 123,484 61,742 30,871 92,614 46,307 138,922 69,461 208,384 104,192 52,096 26,048 13,024 6,512

More profiles

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