25,520,776

2³ × 193 × 16529

25,520,776 factors as 2^3 × 193 × 16529. Its 16 positive divisors give a proper-divisor sum of 22,581,524, so this integer is deficient. The Collatz stopping time is 273 steps.

Prime Factor Structure

Factorization String 2^3 × 193 × 16529

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 48,102,300

Proper Divisor Sum 22,581,524

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #25520749 ← → #25520779

Radix Representation

Decimal	25520776
Binary	1100001010110101010001000 (25 bits)
Octal	0o141265210
Hexadecimal	0x1856A88

Divisor Catalog (16)

1 2 4 8 193 386 772 1,544 16,529 33,058 66,116 132,232 3,190,097 6,380,194 12,760,388 25,520,776

Collatz Trajectory (273 steps to reach 1)

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

25,520,776 12,760,388 6,380,194 3,190,097 9,570,292 4,785,146 2,392,573 7,177,720 3,588,860 1,794,430 897,215 2,691,646 1,345,823 4,037,470 2,018,735 6,056,206 3,028,103 9,084,310 4,542,155 13,626,466 6,813,233 20,439,700 10,219,850 5,109,925 15,329,776 7,664,888 3,832,444 1,916,222 958,111 2,874,334 1,437,167 4,311,502 2,155,751 6,467,254 3,233,627 9,700,882 4,850,441 14,551,324 7,275,662 3,637,831 10,913,494 5,456,747 16,370,242 8,185,121 24,555,364 12,277,682 6,138,841 18,416,524 9,208,262 4,604,131 13,812,394 6,906,197 20,718,592 10,359,296 5,179,648 2,589,824 1,294,912 647,456 323,728 161,864

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