17,527,470

2 × 3 × 5 × 584249

17,527,470 factors as 2 × 3 × 5 × 584249. Its 16 positive divisors give a proper-divisor sum of 24,538,530, so this integer is abundant. The Collatz stopping time is 151 steps.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 584249

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 42,066,000

Proper Divisor Sum 24,538,530

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #17527451 ← → #17527487

Radix Representation

Decimal	17527470
Binary	1000010110111001010101110 (25 bits)
Octal	0o102671256
Hexadecimal	0x10B72AE

Divisor Catalog (16)

1 2 3 5 6 10 15 30 584,249 1,168,498 1,752,747 2,921,245 3,505,494 5,842,490 8,763,735 17,527,470

Collatz Trajectory (151 steps to reach 1)

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

17,527,470 8,763,735 26,291,206 13,145,603 39,436,810 19,718,405 59,155,216 29,577,608 14,788,804 7,394,402 3,697,201 11,091,604 5,545,802 2,772,901 8,318,704 4,159,352 2,079,676 1,039,838 519,919 1,559,758 779,879 2,339,638 1,169,819 3,509,458 1,754,729 5,264,188 2,632,094 1,316,047 3,948,142 1,974,071 5,922,214 2,961,107 8,883,322 4,441,661 13,324,984 6,662,492 3,331,246 1,665,623 4,996,870 2,498,435 7,495,306 3,747,653 11,242,960 5,621,480 2,810,740 1,405,370 702,685 2,108,056 1,054,028 527,014 263,507 790,522 395,261 1,185,784 592,892 296,446 148,223 444,670 222,335 667,006

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