1,291,302

2 × 3⁵ × 2657

Starting at 1,291,302, the Collatz iteration reaches 1 after 217 steps. The first transition is 645651; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^5 × 2657

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 2,902,536

Proper Divisor Sum 1,611,234

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #1291271 ← → #1291313

Radix Representation

Decimal	1291302
Binary	100111011010000100110 (21 bits)
Octal	0o4732046
Hexadecimal	0x13B426

Divisor Catalog (24)

1 2 3 6 9 18 27 54 81 162 243 486 2,657 5,314 7,971 15,942 23,913 47,826 71,739 143,478 215,217 430,434 645,651 1,291,302

Collatz Trajectory (217 steps to reach 1)

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

1,291,302 645,651 1,936,954 968,477 2,905,432 1,452,716 726,358 363,179 1,089,538 544,769 1,634,308 817,154 408,577 1,225,732 612,866 306,433 919,300 459,650 229,825 689,476 344,738 172,369 517,108 258,554 129,277 387,832 193,916 96,958 48,479 145,438 72,719 218,158 109,079 327,238 163,619 490,858 245,429 736,288 368,144 184,072 92,036 46,018 23,009 69,028 34,514 17,257 51,772 25,886 12,943 38,830 19,415 58,246 29,123 87,370 43,685 131,056 65,528 32,764 16,382 8,191

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