7,754,567

17 × 456151

Starting at 7,754,567, the Collatz iteration reaches 1 after 111 steps. The first transition is 23263702; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 17 × 456151

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 8,210,736

Proper Divisor Sum 456,169

Digit Sum / Digital Root 41 (Root: 5)

Adjacent Primes #7754563 ← → #7754573

Radix Representation

Decimal	7754567
Binary	11101100101001101000111 (23 bits)
Octal	0o35451507
Hexadecimal	0x765347

Divisor Catalog (4)

1 17 456,151 7,754,567

Collatz Trajectory (111 steps to reach 1)

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

7,754,567 23,263,702 11,631,851 34,895,554 17,447,777 52,343,332 26,171,666 13,085,833 39,257,500 19,628,750 9,814,375 29,443,126 14,721,563 44,164,690 22,082,345 66,247,036 33,123,518 16,561,759 49,685,278 24,842,639 74,527,918 37,263,959 111,791,878 55,895,939 167,687,818 83,843,909 251,531,728 125,765,864 62,882,932 31,441,466 15,720,733 47,162,200 23,581,100 11,790,550 5,895,275 17,685,826 8,842,913 26,528,740 13,264,370 6,632,185 19,896,556 9,948,278 4,974,139 14,922,418 7,461,209 22,383,628 11,191,814 5,595,907 16,787,722 8,393,861 25,181,584 12,590,792 6,295,396 3,147,698 1,573,849 4,721,548 2,360,774 1,180,387 3,541,162 1,770,581

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