5,566,735

5 × 17 × 79 × 829

5,566,735 factors as 5 × 17 × 79 × 829. Its 16 positive divisors give a proper-divisor sum of 1,604,465, so this integer is deficient. The Collatz stopping time is 170 steps.

Prime Factor Structure

Factorization String 5 × 17 × 79 × 829

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 7,171,200

Proper Divisor Sum 1,604,465

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #5566703 ← → #5566741

Radix Representation

Decimal	5566735
Binary	10101001111000100001111 (23 bits)
Octal	0o25170417
Hexadecimal	0x54F10F

Divisor Catalog (16)

1 5 17 79 85 395 829 1,343 4,145 6,715 14,093 65,491 70,465 327,455 1,113,347 5,566,735

Collatz Trajectory (170 steps to reach 1)

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

5,566,735 16,700,206 8,350,103 25,050,310 12,525,155 37,575,466 18,787,733 56,363,200 28,181,600 14,090,800 7,045,400 3,522,700 1,761,350 880,675 2,642,026 1,321,013 3,963,040 1,981,520 990,760 495,380 247,690 123,845 371,536 185,768 92,884 46,442 23,221 69,664 34,832 17,416 8,708 4,354 2,177 6,532 3,266 1,633 4,900 2,450 1,225 3,676 1,838 919 2,758 1,379 4,138 2,069 6,208 3,104 1,552 776 388 194 97 292 146 73 220 110 55 166

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