λ
Sequence Observatory

1,697,634

2 × 32 × 37 × 2549
Abundant Even Composite

Starting at 1,697,634, the Collatz iteration reaches 1 after 145 steps. The first transition is 848817; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 37 × 2549
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 3,779,100
Proper Divisor Sum 2,081,466
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #1697627 ← → #1697651

Radix Representation

Decimal 1697634
Binary 110011110011101100010 (21 bits)
Octal 0o6363542
Hexadecimal 0x19E762

Divisor Catalog (24)

1 2 3 6 9 18 37 74 111 222 333 666 2,549 5,098 7,647 15,294 22,941 45,882 94,313 188,626 282,939 565,878 848,817 1,697,634

Collatz Trajectory (145 steps to reach 1)

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

1,697,634 848,817 2,546,452 1,273,226 636,613 1,909,840 954,920 477,460 238,730 119,365 358,096 179,048 89,524 44,762 22,381 67,144 33,572 16,786 8,393 25,180 12,590 6,295 18,886 9,443 28,330 14,165 42,496 21,248 10,624 5,312 2,656 1,328 664 332 166 83 250 125 376 188 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274 137 412 206 103 310

More profiles

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