2,871,064

2³ × 7 × 167 × 307

Starting at 2,871,064, the Collatz iteration reaches 1 after 76 steps. The first transition is 1435532; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 7 × 167 × 307

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 6,209,280

Proper Divisor Sum 3,338,216

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #2871061 ← → #2871091

Radix Representation

Decimal	2871064
Binary	1010111100111100011000 (22 bits)
Octal	0o12747430
Hexadecimal	0x2BCF18

Divisor Catalog (32)

1 2 4 7 8 14 28 56 167 307 334 614 668 1,169 1,228 1,336 2,149 2,338 2,456 4,298 4,676 8,596 9,352 17,192 51,269 102,538 205,076 358,883 410,152 717,766 1,435,532 2,871,064

Collatz Trajectory (76 steps to reach 1)

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

2,871,064 1,435,532 717,766 358,883 1,076,650 538,325 1,614,976 807,488 403,744 201,872 100,936 50,468 25,234 12,617 37,852 18,926 9,463 28,390 14,195 42,586 21,293 63,880 31,940 15,970 7,985 23,956 11,978 5,989 17,968 8,984 4,492 2,246 1,123 3,370 1,685 5,056 2,528 1,264 632 316 158 79 238 119 358 179 538 269 808 404 202 101 304 152 76 38 19 58 29 88

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