2,705,723

1013 × 2671

Starting at 2,705,723, the Collatz iteration reaches 1 after 112 steps. The first transition is 8117170; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 1013 × 2671

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 2,709,408

Proper Divisor Sum 3,685

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #2705693 ← → #2705741

Radix Representation

Decimal	2705723
Binary	1010010100100100111011 (22 bits)
Octal	0o12244473
Hexadecimal	0x29493B

Divisor Catalog (4)

1 1,013 2,671 2,705,723

Collatz Trajectory (112 steps to reach 1)

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

2,705,723 8,117,170 4,058,585 12,175,756 6,087,878 3,043,939 9,131,818 4,565,909 13,697,728 6,848,864 3,424,432 1,712,216 856,108 428,054 214,027 642,082 321,041 963,124 481,562 240,781 722,344 361,172 180,586 90,293 270,880 135,440 67,720 33,860 16,930 8,465 25,396 12,698 6,349 19,048 9,524 4,762 2,381 7,144 3,572 1,786 893 2,680 1,340 670 335 1,006 503 1,510 755 2,266 1,133 3,400 1,700 850 425 1,276 638 319 958 479

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