2,715,912

2³ × 3² × 67 × 563

Starting at 2,715,912, the Collatz iteration reaches 1 after 156 steps. The first transition is 1357956; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 67 × 563

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 7,478,640

Proper Divisor Sum 4,762,728

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #2715899 ← → #2715913

Radix Representation

Decimal	2715912
Binary	1010010111000100001000 (22 bits)
Octal	0o12270410
Hexadecimal	0x297108

Divisor Catalog (48)

1 2 3 4 6 8 9 12 18 24 36 67 72 134 201 268 402 536 563 603 804 1,126 1,206 1,608 1,689 2,252 2,412 3,378 4,504 4,824 5,067 6,756 10,134 13,512 20,268 37,721 40,536 75,442 113,163 150,884 226,326 301,768 339,489 452,652 678,978 905,304 1,357,956 2,715,912

Collatz Trajectory (156 steps to reach 1)

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

2,715,912 1,357,956 678,978 339,489 1,018,468 509,234 254,617 763,852 381,926 190,963 572,890 286,445 859,336 429,668 214,834 107,417 322,252 161,126 80,563 241,690 120,845 362,536 181,268 90,634 45,317 135,952 67,976 33,988 16,994 8,497 25,492 12,746 6,373 19,120 9,560 4,780 2,390 1,195 3,586 1,793 5,380 2,690 1,345 4,036 2,018 1,009 3,028 1,514 757 2,272 1,136 568 284 142 71 214 107 322 161 484

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