6,117,135

3 × 5 × 193 × 2113

Starting at 6,117,135, the Collatz iteration reaches 1 after 108 steps. The first transition is 18351406; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 5 × 193 × 2113

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 9,842,784

Proper Divisor Sum 3,725,649

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #6117131 ← → #6117151

Radix Representation

Decimal	6117135
Binary	10111010101011100001111 (23 bits)
Octal	0o27253417
Hexadecimal	0x5D570F

Divisor Catalog (16)

1 3 5 15 193 579 965 2,113 2,895 6,339 10,565 31,695 407,809 1,223,427 2,039,045 6,117,135

Collatz Trajectory (108 steps to reach 1)

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

6,117,135 18,351,406 9,175,703 27,527,110 13,763,555 41,290,666 20,645,333 61,936,000 30,968,000 15,484,000 7,742,000 3,871,000 1,935,500 967,750 483,875 1,451,626 725,813 2,177,440 1,088,720 544,360 272,180 136,090 68,045 204,136 102,068 51,034 25,517 76,552 38,276 19,138 9,569 28,708 14,354 7,177 21,532 10,766 5,383 16,150 8,075 24,226 12,113 36,340 18,170 9,085 27,256 13,628 6,814 3,407 10,222 5,111 15,334 7,667 23,002 11,501 34,504 17,252 8,626 4,313 12,940 6,470

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