5,777,622

2 × 3³ × 106993

5,777,622 factors as 2 × 3^3 × 106993. Its 16 positive divisors give a proper-divisor sum of 7,061,658, so this integer is abundant. The Collatz stopping time is 214 steps.

Prime Factor Structure

Factorization String 2 × 3^3 × 106993

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 12,839,280

Proper Divisor Sum 7,061,658

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #5777621 ← → #5777627

Radix Representation

Decimal	5777622
Binary	10110000010100011010110 (23 bits)
Octal	0o26024326
Hexadecimal	0x5828D6

Divisor Catalog (16)

1 2 3 6 9 18 27 54 106,993 213,986 320,979 641,958 962,937 1,925,874 2,888,811 5,777,622

Collatz Trajectory (214 steps to reach 1)

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

5,777,622 2,888,811 8,666,434 4,333,217 12,999,652 6,499,826 3,249,913 9,749,740 4,874,870 2,437,435 7,312,306 3,656,153 10,968,460 5,484,230 2,742,115 8,226,346 4,113,173 12,339,520 6,169,760 3,084,880 1,542,440 771,220 385,610 192,805 578,416 289,208 144,604 72,302 36,151 108,454 54,227 162,682 81,341 244,024 122,012 61,006 30,503 91,510 45,755 137,266 68,633 205,900 102,950 51,475 154,426 77,213 231,640 115,820 57,910 28,955 86,866 43,433 130,300 65,150 32,575 97,726 48,863 146,590 73,295 219,886

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