1,761,968

2⁴ × 13 × 43 × 197

Starting at 1,761,968, the Collatz iteration reaches 1 after 127 steps. The first transition is 880984; the starting value is even with 40 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 13 × 43 × 197

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 3,781,008

Proper Divisor Sum 2,019,040

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #1761959 ← → #1761973

Radix Representation

Decimal	1761968
Binary	110101110001010110000 (21 bits)
Octal	0o6561260
Hexadecimal	0x1AE2B0

Divisor Catalog (40)

1 2 4 8 13 16 26 43 52 86 104 172 197 208 344 394 559 688 788 1,118 1,576 2,236 2,561 3,152 4,472 5,122 8,471 8,944 10,244 16,942 20,488 33,884 40,976 67,768 110,123 135,536 220,246 440,492 880,984 1,761,968

Collatz Trajectory (127 steps to reach 1)

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

1,761,968 880,984 440,492 220,246 110,123 330,370 165,185 495,556 247,778 123,889 371,668 185,834 92,917 278,752 139,376 69,688 34,844 17,422 8,711 26,134 13,067 39,202 19,601 58,804 29,402 14,701 44,104 22,052 11,026 5,513 16,540 8,270 4,135 12,406 6,203 18,610 9,305 27,916 13,958 6,979 20,938 10,469 31,408 15,704 7,852 3,926 1,963 5,890 2,945 8,836 4,418 2,209 6,628 3,314 1,657 4,972 2,486 1,243 3,730 1,865

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