17,528,240

2⁴ × 5 × 219103

17,528,240 factors as 2^4 × 5 × 219103. Its 20 positive divisors give a proper-divisor sum of 23,225,104, so this integer is abundant. The Collatz stopping time is 156 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 219103

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 40,753,344

Proper Divisor Sum 23,225,104

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #17528201 ← → #17528243

Radix Representation

Decimal	17528240
Binary	1000010110111010110110000 (25 bits)
Octal	0o102672660
Hexadecimal	0x10B75B0

Divisor Catalog (20)

Collatz Trajectory (156 steps to reach 1)

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

17,528,240 8,764,120 4,382,060 2,191,030 1,095,515 3,286,546 1,643,273 4,929,820 2,464,910 1,232,455 3,697,366 1,848,683 5,546,050 2,773,025 8,319,076 4,159,538 2,079,769 6,239,308 3,119,654 1,559,827 4,679,482 2,339,741 7,019,224 3,509,612 1,754,806 877,403 2,632,210 1,316,105 3,948,316 1,974,158 987,079 2,961,238 1,480,619 4,441,858 2,220,929 6,662,788 3,331,394 1,665,697 4,997,092 2,498,546 1,249,273 3,747,820 1,873,910 936,955 2,810,866 1,405,433 4,216,300 2,108,150 1,054,075 3,162,226 1,581,113 4,743,340 2,371,670 1,185,835 3,557,506 1,778,753 5,336,260 2,668,130 1,334,065 4,002,196

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