5,777,618

2 × 7 × 11 × 37517

5,777,618 factors as 2 × 7 × 11 × 37517. Its 16 positive divisors give a proper-divisor sum of 5,027,566, so this integer is deficient. The Collatz stopping time is 214 steps.

Prime Factor Structure

Factorization String 2 × 7 × 11 × 37517

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 10,805,184

Proper Divisor Sum 5,027,566

Digit Sum / Digital Root 41 (Root: 5)

Adjacent Primes #5777593 ← → #5777621

Radix Representation

Decimal	5777618
Binary	10110000010100011010010 (23 bits)
Octal	0o26024322
Hexadecimal	0x5828D2

Divisor Catalog (16)

1 2 7 11 14 22 77 154 37,517 75,034 262,619 412,687 525,238 825,374 2,888,809 5,777,618

Collatz Trajectory (214 steps to reach 1)

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

5,777,618 2,888,809 8,666,428 4,333,214 2,166,607 6,499,822 3,249,911 9,749,734 4,874,867 14,624,602 7,312,301 21,936,904 10,968,452 5,484,226 2,742,113 8,226,340 4,113,170 2,056,585 6,169,756 3,084,878 1,542,439 4,627,318 2,313,659 6,940,978 3,470,489 10,411,468 5,205,734 2,602,867 7,808,602 3,904,301 11,712,904 5,856,452 2,928,226 1,464,113 4,392,340 2,196,170 1,098,085 3,294,256 1,647,128 823,564 411,782 205,891 617,674 308,837 926,512 463,256 231,628 115,814 57,907 173,722 86,861 260,584 130,292 65,146 32,573 97,720 48,860 24,430 12,215 36,646

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