17,520,606

2 × 3² × 973367

17,520,606 factors as 2 × 3^2 × 973367. Its 12 positive divisors give a proper-divisor sum of 20,440,746, so this integer is abundant. The Collatz stopping time is 107 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 973367

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 37,961,352

Proper Divisor Sum 20,440,746

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #17520593 ← → #17520617

Radix Representation

Decimal	17520606
Binary	1000010110101011111011110 (25 bits)
Octal	0o102653736
Hexadecimal	0x10B57DE

Divisor Catalog (12)

1 2 3 6 9 18 973,367 1,946,734 2,920,101 5,840,202 8,760,303 17,520,606

Collatz Trajectory (107 steps to reach 1)

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

17,520,606 8,760,303 26,280,910 13,140,455 39,421,366 19,710,683 59,132,050 29,566,025 88,698,076 44,349,038 22,174,519 66,523,558 33,261,779 99,785,338 49,892,669 149,678,008 74,839,004 37,419,502 18,709,751 56,129,254 28,064,627 84,193,882 42,096,941 126,290,824 63,145,412 31,572,706 15,786,353 47,359,060 23,679,530 11,839,765 35,519,296 17,759,648 8,879,824 4,439,912 2,219,956 1,109,978 554,989 1,664,968 832,484 416,242 208,121 624,364 312,182 156,091 468,274 234,137 702,412 351,206 175,603 526,810 263,405 790,216 395,108 197,554 98,777 296,332 148,166 74,083 222,250 111,125

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