1,717,338

2 × 3 × 7 × 31 × 1319

Starting at 1,717,338, the Collatz iteration reaches 1 after 114 steps. The first transition is 858669; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 7 × 31 × 1319

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 4,055,040

Proper Divisor Sum 2,337,702

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #1717337 ← → #1717343

Radix Representation

Decimal	1717338
Binary	110100011010001011010 (21 bits)
Octal	0o6432132
Hexadecimal	0x1A345A

Divisor Catalog (32)

1 2 3 6 7 14 21 31 42 62 93 186 217 434 651 1,302 1,319 2,638 3,957 7,914 9,233 18,466 27,699 40,889 55,398 81,778 122,667 245,334 286,223 572,446 858,669 1,717,338

Collatz Trajectory (114 steps to reach 1)

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

1,717,338 858,669 2,576,008 1,288,004 644,002 322,001 966,004 483,002 241,501 724,504 362,252 181,126 90,563 271,690 135,845 407,536 203,768 101,884 50,942 25,471 76,414 38,207 114,622 57,311 171,934 85,967 257,902 128,951 386,854 193,427 580,282 290,141 870,424 435,212 217,606 108,803 326,410 163,205 489,616 244,808 122,404 61,202 30,601 91,804 45,902 22,951 68,854 34,427 103,282 51,641 154,924 77,462 38,731 116,194 58,097 174,292 87,146 43,573 130,720 65,360

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