2,689,692

2² × 3 × 29 × 59 × 131

Starting at 2,689,692, the Collatz iteration reaches 1 after 125 steps. The first transition is 1344846; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 29 × 59 × 131

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 6,652,800

Proper Divisor Sum 3,963,108

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #2689691 ← → #2689699

Radix Representation

Decimal	2689692
Binary	1010010000101010011100 (22 bits)
Octal	0o12205234
Hexadecimal	0x290A9C

Divisor Catalog (48)

1 2 3 4 6 12 29 58 59 87 116 118 131 174 177 236 262 348 354 393 524 708 786 1,572 1,711 3,422 3,799 5,133 6,844 7,598 7,729 10,266 11,397 15,196 15,458 20,532 22,794 23,187 30,916 45,588 46,374 92,748 224,141 448,282 672,423 896,564 1,344,846 2,689,692

Collatz Trajectory (125 steps to reach 1)

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

2,689,692 1,344,846 672,423 2,017,270 1,008,635 3,025,906 1,512,953 4,538,860 2,269,430 1,134,715 3,404,146 1,702,073 5,106,220 2,553,110 1,276,555 3,829,666 1,914,833 5,744,500 2,872,250 1,436,125 4,308,376 2,154,188 1,077,094 538,547 1,615,642 807,821 2,423,464 1,211,732 605,866 302,933 908,800 454,400 227,200 113,600 56,800 28,400 14,200 7,100 3,550 1,775 5,326 2,663 7,990 3,995 11,986 5,993 17,980 8,990 4,495 13,486 6,743 20,230 10,115 30,346 15,173 45,520 22,760 11,380 5,690 2,845

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