λ
Harmonic Matrix

1,017,441

35 × 53 × 79
Deficient Odd Composite

1,017,441 has digital root 9. The neighboring primes are 1017439 and 1017449; its proper-divisor sum differs from the starting integer by -462,402.

Prime Factor Structure

Factorization String 3^5 × 53 × 79
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 1,572,480
Proper Divisor Sum 555,039
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #1017439 ← → #1017449

Radix Representation

Decimal 1017441
Binary 11111000011001100001 (20 bits)
Octal 0o3703141
Hexadecimal 0xF8661

Divisor Catalog (24)

1 3 9 27 53 79 81 159 237 243 477 711 1,431 2,133 4,187 4,293 6,399 12,561 12,879 19,197 37,683 113,049 339,147 1,017,441

Collatz Trajectory (165 steps to reach 1)

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

1,017,441 3,052,324 1,526,162 763,081 2,289,244 1,144,622 572,311 1,716,934 858,467 2,575,402 1,287,701 3,863,104 1,931,552 965,776 482,888 241,444 120,722 60,361 181,084 90,542 45,271 135,814 67,907 203,722 101,861 305,584 152,792 76,396 38,198 19,099 57,298 28,649 85,948 42,974 21,487 64,462 32,231 96,694 48,347 145,042 72,521 217,564 108,782 54,391 163,174 81,587 244,762 122,381 367,144 183,572 91,786 45,893 137,680 68,840 34,420 17,210 8,605 25,816 12,908 6,454

More profiles

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