6,947,014

2 × 59 × 113 × 521

Starting at 6,947,014, the Collatz iteration reaches 1 after 191 steps. The first transition is 3473507; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 59 × 113 × 521

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 10,711,440

Proper Divisor Sum 3,764,426

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #6947011 ← → #6947021

Radix Representation

Decimal	6947014
Binary	11010100000000011000110 (23 bits)
Octal	0o32400306
Hexadecimal	0x6A00C6

Divisor Catalog (16)

1 2 59 113 118 226 521 1,042 6,667 13,334 30,739 58,873 61,478 117,746 3,473,507 6,947,014

Collatz Trajectory (191 steps to reach 1)

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

6,947,014 3,473,507 10,420,522 5,210,261 15,630,784 7,815,392 3,907,696 1,953,848 976,924 488,462 244,231 732,694 366,347 1,099,042 549,521 1,648,564 824,282 412,141 1,236,424 618,212 309,106 154,553 463,660 231,830 115,915 347,746 173,873 521,620 260,810 130,405 391,216 195,608 97,804 48,902 24,451 73,354 36,677 110,032 55,016 27,508 13,754 6,877 20,632 10,316 5,158 2,579 7,738 3,869 11,608 5,804 2,902 1,451 4,354 2,177 6,532 3,266 1,633 4,900 2,450 1,225

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