λ
Sequence Observatory

3,714,738

2 × 3 × 17 × 79 × 461
Abundant Even Composite

Starting at 3,714,738, the Collatz iteration reaches 1 after 234 steps. The first transition is 1857369; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 17 × 79 × 461
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 7,983,360
Proper Divisor Sum 4,268,622
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #3714731 ← → #3714743

Radix Representation

Decimal 3714738
Binary 1110001010111010110010 (22 bits)
Octal 0o16127262
Hexadecimal 0x38AEB2

Divisor Catalog (32)

1 2 3 6 17 34 51 79 102 158 237 461 474 922 1,343 1,383 2,686 2,766 4,029 7,837 8,058 15,674 23,511 36,419 47,022 72,838 109,257 218,514 619,123 1,238,246 1,857,369 3,714,738

Collatz Trajectory (234 steps to reach 1)

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

3,714,738 1,857,369 5,572,108 2,786,054 1,393,027 4,179,082 2,089,541 6,268,624 3,134,312 1,567,156 783,578 391,789 1,175,368 587,684 293,842 146,921 440,764 220,382 110,191 330,574 165,287 495,862 247,931 743,794 371,897 1,115,692 557,846 278,923 836,770 418,385 1,255,156 627,578 313,789 941,368 470,684 235,342 117,671 353,014 176,507 529,522 264,761 794,284 397,142 198,571 595,714 297,857 893,572 446,786 223,393 670,180 335,090 167,545 502,636 251,318 125,659 376,978 188,489 565,468 282,734 141,367

More profiles

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