6,117,155

5 × 11² × 10111

Starting at 6,117,155, the Collatz iteration reaches 1 after 108 steps. The first transition is 18351466; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 5 × 11^2 × 10111

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 8,069,376

Proper Divisor Sum 1,952,221

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #6117151 ← → #6117169

Radix Representation

Decimal	6117155
Binary	10111010101011100100011 (23 bits)
Octal	0o27253443
Hexadecimal	0x5D5723

Divisor Catalog (12)

1 5 11 55 121 605 10,111 50,555 111,221 556,105 1,223,431 6,117,155

Collatz Trajectory (108 steps to reach 1)

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

6,117,155 18,351,466 9,175,733 27,527,200 13,763,600 6,881,800 3,440,900 1,720,450 860,225 2,580,676 1,290,338 645,169 1,935,508 967,754 483,877 1,451,632 725,816 362,908 181,454 90,727 272,182 136,091 408,274 204,137 612,412 306,206 153,103 459,310 229,655 688,966 344,483 1,033,450 516,725 1,550,176 775,088 387,544 193,772 96,886 48,443 145,330 72,665 217,996 108,998 54,499 163,498 81,749 245,248 122,624 61,312 30,656 15,328 7,664 3,832 1,916 958 479 1,438 719 2,158 1,079

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