λ
Ratio Atlas

5,580,416

27 × 43597
Deficient Even Composite

5,580,416 factors as 2^7 × 43597. Its 16 positive divisors give a proper-divisor sum of 5,537,074, so this integer is deficient. The Collatz stopping time is 170 steps.

Prime Factor Structure

Factorization String 2^7 × 43597
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 11,117,490
Proper Divisor Sum 5,537,074
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #5580409 ← → #5580457

Radix Representation

Decimal 5580416
Binary 10101010010011010000000 (23 bits)
Octal 0o25223200
Hexadecimal 0x552680

Divisor Catalog (16)

1 2 4 8 16 32 64 128 43,597 87,194 174,388 348,776 697,552 1,395,104 2,790,208 5,580,416

Collatz Trajectory (170 steps to reach 1)

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

5,580,416 2,790,208 1,395,104 697,552 348,776 174,388 87,194 43,597 130,792 65,396 32,698 16,349 49,048 24,524 12,262 6,131 18,394 9,197 27,592 13,796 6,898 3,449 10,348 5,174 2,587 7,762 3,881 11,644 5,822 2,911 8,734 4,367 13,102 6,551 19,654 9,827 29,482 14,741 44,224 22,112 11,056 5,528 2,764 1,382 691 2,074 1,037 3,112 1,556 778 389 1,168 584 292 146 73 220 110 55 166

More profiles

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