λ
Harmonic Matrix

1,571,650

2 × 52 × 17 × 432
Abundant Even Composite

1,571,650 has digital root 7. The neighboring primes are 1571629 and 1571657; its proper-divisor sum differs from the starting integer by 25,582.

Prime Factor Structure

Factorization String 2 × 5^2 × 17 × 43^2
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 3,168,882
Proper Divisor Sum 1,597,232
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #1571629 ← → #1571657

Radix Representation

Decimal 1571650
Binary 101111111101101000010 (21 bits)
Octal 0o5775502
Hexadecimal 0x17FB42

Divisor Catalog (36)

1 2 5 10 17 25 34 43 50 85 86 170 215 425 430 731 850 1,075 1,462 1,849 2,150 3,655 3,698 7,310 9,245 18,275 18,490 31,433 36,550 46,225 62,866 92,450 157,165 314,330 785,825 1,571,650

Collatz Trajectory (132 steps to reach 1)

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

1,571,650 785,825 2,357,476 1,178,738 589,369 1,768,108 884,054 442,027 1,326,082 663,041 1,989,124 994,562 497,281 1,491,844 745,922 372,961 1,118,884 559,442 279,721 839,164 419,582 209,791 629,374 314,687 944,062 472,031 1,416,094 708,047 2,124,142 1,062,071 3,186,214 1,593,107 4,779,322 2,389,661 7,168,984 3,584,492 1,792,246 896,123 2,688,370 1,344,185 4,032,556 2,016,278 1,008,139 3,024,418 1,512,209 4,536,628 2,268,314 1,134,157 3,402,472 1,701,236 850,618 425,309 1,275,928 637,964 318,982 159,491 478,474 239,237 717,712 358,856

More profiles

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