λ
Harmonic Matrix

1,061,764

22 × 11 × 59 × 409
Deficient Even Composite

1,061,764 has digital root 7. The neighboring primes are 1061759 and 1061771; its proper-divisor sum differs from the starting integer by -57,128.

Prime Factor Structure

Factorization String 2^2 × 11 × 59 × 409
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 2,066,400
Proper Divisor Sum 1,004,636
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #1061759 ← → #1061771

Radix Representation

Decimal 1061764
Binary 100000011001110000100 (21 bits)
Octal 0o4031604
Hexadecimal 0x103384

Divisor Catalog (24)

1 2 4 11 22 44 59 118 236 409 649 818 1,298 1,636 2,596 4,499 8,998 17,996 24,131 48,262 96,524 265,441 530,882 1,061,764

Collatz Trajectory (147 steps to reach 1)

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

1,061,764 530,882 265,441 796,324 398,162 199,081 597,244 298,622 149,311 447,934 223,967 671,902 335,951 1,007,854 503,927 1,511,782 755,891 2,267,674 1,133,837 3,401,512 1,700,756 850,378 425,189 1,275,568 637,784 318,892 159,446 79,723 239,170 119,585 358,756 179,378 89,689 269,068 134,534 67,267 201,802 100,901 302,704 151,352 75,676 37,838 18,919 56,758 28,379 85,138 42,569 127,708 63,854 31,927 95,782 47,891 143,674 71,837 215,512 107,756 53,878 26,939 80,818 40,409

More profiles

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