λ
Harmonic Matrix

5,710,581

34 × 70501
Deficient Odd Composite

5,710,581 has digital root 9. The neighboring primes are 5710567 and 5710631; its proper-divisor sum differs from the starting integer by -2,890,420.

Prime Factor Structure

Factorization String 3^4 × 70501
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 10
Divisor Sum (σ) 8,530,742
Proper Divisor Sum 2,820,161
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #5710567 ← → #5710631

Radix Representation

Decimal 5710581
Binary 10101110010001011110101 (23 bits)
Octal 0o25621365
Hexadecimal 0x5722F5

Divisor Catalog (10)

1 3 9 27 81 70,501 211,503 634,509 1,903,527 5,710,581

Collatz Trajectory (170 steps to reach 1)

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

5,710,581 17,131,744 8,565,872 4,282,936 2,141,468 1,070,734 535,367 1,606,102 803,051 2,409,154 1,204,577 3,613,732 1,806,866 903,433 2,710,300 1,355,150 677,575 2,032,726 1,016,363 3,049,090 1,524,545 4,573,636 2,286,818 1,143,409 3,430,228 1,715,114 857,557 2,572,672 1,286,336 643,168 321,584 160,792 80,396 40,198 20,099 60,298 30,149 90,448 45,224 22,612 11,306 5,653 16,960 8,480 4,240 2,120 1,060 530 265 796 398 199 598 299 898 449 1,348 674 337 1,012

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