6,113,054

2 × 61 × 89 × 563

Starting at 6,113,054, the Collatz iteration reaches 1 after 364 steps. The first transition is 3056527; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 61 × 89 × 563

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 9,441,360

Proper Divisor Sum 3,328,306

Digit Sum / Digital Root 20 (Root: 2)

Adjacent Primes #6113053 ← → #6113069

Radix Representation

Decimal	6113054
Binary	10111010100011100011110 (23 bits)
Octal	0o27243436
Hexadecimal	0x5D471E

Divisor Catalog (16)

1 2 61 89 122 178 563 1,126 5,429 10,858 34,343 50,107 68,686 100,214 3,056,527 6,113,054

Collatz Trajectory (364 steps to reach 1)

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

6,113,054 3,056,527 9,169,582 4,584,791 13,754,374 6,877,187 20,631,562 10,315,781 30,947,344 15,473,672 7,736,836 3,868,418 1,934,209 5,802,628 2,901,314 1,450,657 4,351,972 2,175,986 1,087,993 3,263,980 1,631,990 815,995 2,447,986 1,223,993 3,671,980 1,835,990 917,995 2,753,986 1,376,993 4,130,980 2,065,490 1,032,745 3,098,236 1,549,118 774,559 2,323,678 1,161,839 3,485,518 1,742,759 5,228,278 2,614,139 7,842,418 3,921,209 11,763,628 5,881,814 2,940,907 8,822,722 4,411,361 13,234,084 6,617,042 3,308,521 9,925,564 4,962,782 2,481,391 7,444,174 3,722,087 11,166,262 5,583,131 16,749,394 8,374,697

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