12,802,425

3 × 5² × 211 × 809

12,802,425 factors as 3 × 5^2 × 211 × 809. Its 24 positive divisors give a proper-divisor sum of 8,490,855, so this integer is deficient. The Collatz stopping time is 179 steps.

Prime Factor Structure

Factorization String 3 × 5^2 × 211 × 809

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 21,293,280

Proper Divisor Sum 8,490,855

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #12802423 ← → #12802429

Radix Representation

Decimal	12802425
Binary	110000110101100101111001 (24 bits)
Octal	0o60654571
Hexadecimal	0xC35979

Divisor Catalog (24)

Collatz Trajectory (179 steps to reach 1)

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

12,802,425 38,407,276 19,203,638 9,601,819 28,805,458 14,402,729 43,208,188 21,604,094 10,802,047 32,406,142 16,203,071 48,609,214 24,304,607 72,913,822 36,456,911 109,370,734 54,685,367 164,056,102 82,028,051 246,084,154 123,042,077 369,126,232 184,563,116 92,281,558 46,140,779 138,422,338 69,211,169 207,633,508 103,816,754 51,908,377 155,725,132 77,862,566 38,931,283 116,793,850 58,396,925 175,190,776 87,595,388 43,797,694 21,898,847 65,696,542 32,848,271 98,544,814 49,272,407 147,817,222 73,908,611 221,725,834 110,862,917 332,588,752 166,294,376 83,147,188 41,573,594 20,786,797 62,360,392 31,180,196 15,590,098 7,795,049 23,385,148 11,692,574 5,846,287 17,538,862

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