7,106,856

2³ × 3 × 29 × 10211

Starting at 7,106,856, the Collatz iteration reaches 1 after 98 steps. The first transition is 3553428; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3 × 29 × 10211

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 18,381,600

Proper Divisor Sum 11,274,744

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #7106851 ← → #7106857

Radix Representation

Decimal	7106856
Binary	11011000111000100101000 (23 bits)
Octal	0o33070450
Hexadecimal	0x6C7128

Divisor Catalog (32)

1 2 3 4 6 8 12 24 29 58 87 116 174 232 348 696 10,211 20,422 30,633 40,844 61,266 81,688 122,532 245,064 296,119 592,238 888,357 1,184,476 1,776,714 2,368,952 3,553,428 7,106,856

Collatz Trajectory (98 steps to reach 1)

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

7,106,856 3,553,428 1,776,714 888,357 2,665,072 1,332,536 666,268 333,134 166,567 499,702 249,851 749,554 374,777 1,124,332 562,166 281,083 843,250 421,625 1,264,876 632,438 316,219 948,658 474,329 1,422,988 711,494 355,747 1,067,242 533,621 1,600,864 800,432 400,216 200,108 100,054 50,027 150,082 75,041 225,124 112,562 56,281 168,844 84,422 42,211 126,634 63,317 189,952 94,976 47,488 23,744 11,872 5,936 2,968 1,484 742 371 1,114 557 1,672 836 418 209

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