17,525,776

2⁴ × 17 × 64433

17,525,776 factors as 2^4 × 17 × 64433. Its 20 positive divisors give a proper-divisor sum of 18,428,396, so this integer is abundant. The Collatz stopping time is 63 steps.

Prime Factor Structure

Factorization String 2^4 × 17 × 64433

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 35,954,172

Proper Divisor Sum 18,428,396

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #17525749 ← → #17525777

Radix Representation

Decimal	17525776
Binary	1000010110110110000010000 (25 bits)
Octal	0o102666020
Hexadecimal	0x10B6C10

Divisor Catalog (20)

Collatz Trajectory (63 steps to reach 1)

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

17,525,776 8,762,888 4,381,444 2,190,722 1,095,361 3,286,084 1,643,042 821,521 2,464,564 1,232,282 616,141 1,848,424 924,212 462,106 231,053 693,160 346,580 173,290 86,645 259,936 129,968 64,984 32,492 16,246 8,123 24,370 12,185 36,556 18,278 9,139 27,418 13,709 41,128 20,564 10,282 5,141 15,424 7,712 3,856 1,928 964 482 241 724 362 181 544 272 136 68 34 17 52 26 13 40 20 10 5 16

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