6,872,236

2² × 7 × 245437

Starting at 6,872,236, the Collatz iteration reaches 1 after 129 steps. The first transition is 3436118; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 7 × 245437

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 13,744,528

Proper Divisor Sum 6,872,292

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #6872231 ← → #6872237

Radix Representation

Decimal	6872236
Binary	11010001101110010101100 (23 bits)
Octal	0o32156254
Hexadecimal	0x68DCAC

Divisor Catalog (12)

1 2 4 7 14 28 245,437 490,874 981,748 1,718,059 3,436,118 6,872,236

Collatz Trajectory (129 steps to reach 1)

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

6,872,236 3,436,118 1,718,059 5,154,178 2,577,089 7,731,268 3,865,634 1,932,817 5,798,452 2,899,226 1,449,613 4,348,840 2,174,420 1,087,210 543,605 1,630,816 815,408 407,704 203,852 101,926 50,963 152,890 76,445 229,336 114,668 57,334 28,667 86,002 43,001 129,004 64,502 32,251 96,754 48,377 145,132 72,566 36,283 108,850 54,425 163,276 81,638 40,819 122,458 61,229 183,688 91,844 45,922 22,961 68,884 34,442 17,221 51,664 25,832 12,916 6,458 3,229 9,688 4,844 2,422 1,211

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