16,627,072

2⁷ × 7² × 11 × 241

16,627,072 factors as 2^7 × 7^2 × 11 × 241. Its 96 positive divisors give a proper-divisor sum of 25,582,568, so this integer is abundant. The Collatz stopping time is 76 steps.

Prime Factor Structure

Factorization String 2^7 × 7^2 × 11 × 241

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 42,209,640

Proper Divisor Sum 25,582,568

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #16627057 ← → #16627073

Radix Representation

Decimal	16627072
Binary	111111011011010110000000 (24 bits)
Octal	0o77332600
Hexadecimal	0xFDB580

Divisor Catalog (60 of 96)

1 2 4 7 8 11 14 16 22 28 32 44 49 56 64 77 88 98 112 128 154 176 196 224 241 308 352 392 448 482 539 616 704 784 896 964 1,078 1,232 1,408 1,568 1,687 1,928 2,156 2,464 2,651 3,136 3,374 3,856 4,312 4,928 5,302 6,272 6,748 7,712 8,624 9,856 10,604 11,809 13,496 15,424

Collatz Trajectory (76 steps to reach 1)

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

16,627,072 8,313,536 4,156,768 2,078,384 1,039,192 519,596 259,798 129,899 389,698 194,849 584,548 292,274 146,137 438,412 219,206 109,603 328,810 164,405 493,216 246,608 123,304 61,652 30,826 15,413 46,240 23,120 11,560 5,780 2,890 1,445 4,336 2,168 1,084 542 271 814 407 1,222 611 1,834 917 2,752 1,376 688 344 172 86 43 130 65 196 98 49 148 74 37 112 56 28 14

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