λ
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Atlas › Integer Profiles › Node 5,779,712

5,779,712

28 × 107 × 211
Abundant Even Composite

5,779,712 factors as 2^8 × 107 × 211. Its 36 positive divisors give a proper-divisor sum of 5,920,144, so this integer is abundant. The Collatz stopping time is 214 steps.

Prime Factor Structure

Factorization String 2^8 × 107 × 211
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 11,699,856
Proper Divisor Sum 5,920,144
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #5779691 ← → #5779717

Radix Representation

Decimal 5779712
Binary 10110000011000100000000 (23 bits)
Octal 0o26030400
Hexadecimal 0x583100

Divisor Catalog (36)

1 2 4 8 16 32 64 107 128 211 214 256 422 428 844 856 1,688 1,712 3,376 3,424 6,752 6,848 13,504 13,696 22,577 27,008 27,392 45,154 54,016 90,308 180,616 361,232 722,464 1,444,928 2,889,856 5,779,712

Collatz Trajectory (214 steps to reach 1)

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

5,779,712 2,889,856 1,444,928 722,464 361,232 180,616 90,308 45,154 22,577 67,732 33,866 16,933 50,800 25,400 12,700 6,350 3,175 9,526 4,763 14,290 7,145 21,436 10,718 5,359 16,078 8,039 24,118 12,059 36,178 18,089 54,268 27,134 13,567 40,702 20,351 61,054 30,527 91,582 45,791 137,374 68,687 206,062 103,031 309,094 154,547 463,642 231,821 695,464 347,732 173,866 86,933 260,800 130,400 65,200 32,600 16,300 8,150 4,075 12,226 6,113

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