1,296,567

3⁴ × 16007

1,296,567 factors as 3^4 × 16007. Its 10 positive divisors give a proper-divisor sum of 640,401, so this integer is deficient. The Collatz stopping time is 248 steps.

Prime Factor Structure

Factorization String 3^4 × 16007

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 10

Divisor Sum (σ) 1,936,968

Proper Divisor Sum 640,401

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #1296563 ← → #1296571

Radix Representation

Decimal	1296567
Binary	100111100100010110111 (21 bits)
Octal	0o4744267
Hexadecimal	0x13C8B7

Divisor Catalog (10)

1 3 9 27 81 16,007 48,021 144,063 432,189 1,296,567

Collatz Trajectory (248 steps to reach 1)

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

1,296,567 3,889,702 1,944,851 5,834,554 2,917,277 8,751,832 4,375,916 2,187,958 1,093,979 3,281,938 1,640,969 4,922,908 2,461,454 1,230,727 3,692,182 1,846,091 5,538,274 2,769,137 8,307,412 4,153,706 2,076,853 6,230,560 3,115,280 1,557,640 778,820 389,410 194,705 584,116 292,058 146,029 438,088 219,044 109,522 54,761 164,284 82,142 41,071 123,214 61,607 184,822 92,411 277,234 138,617 415,852 207,926 103,963 311,890 155,945 467,836 233,918 116,959 350,878 175,439 526,318 263,159 789,478 394,739 1,184,218 592,109 1,776,328

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