7,200,546

2 × 3 × 131 × 9161

7,200,546 factors as 2 × 3 × 131 × 9161. Its 16 positive divisors give a proper-divisor sum of 7,312,062, so this integer is abundant. The Collatz stopping time is 191 steps.

Prime Factor Structure

Factorization String 2 × 3 × 131 × 9161

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 14,512,608

Proper Divisor Sum 7,312,062

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #7200521 ← → #7200551

Radix Representation

Decimal	7200546
Binary	11011011101111100100010 (23 bits)
Octal	0o33357442
Hexadecimal	0x6DDF22

Divisor Catalog (16)

1 2 3 6 131 262 393 786 9,161 18,322 27,483 54,966 1,200,091 2,400,182 3,600,273 7,200,546

Collatz Trajectory (191 steps to reach 1)

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

7,200,546 3,600,273 10,800,820 5,400,410 2,700,205 8,100,616 4,050,308 2,025,154 1,012,577 3,037,732 1,518,866 759,433 2,278,300 1,139,150 569,575 1,708,726 854,363 2,563,090 1,281,545 3,844,636 1,922,318 961,159 2,883,478 1,441,739 4,325,218 2,162,609 6,487,828 3,243,914 1,621,957 4,865,872 2,432,936 1,216,468 608,234 304,117 912,352 456,176 228,088 114,044 57,022 28,511 85,534 42,767 128,302 64,151 192,454 96,227 288,682 144,341 433,024 216,512 108,256 54,128 27,064 13,532 6,766 3,383 10,150 5,075 15,226 7,613

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