8,751,756

2² × 3 × 13 × 56101

Starting at 8,751,756, the Collatz iteration reaches 1 after 93 steps. The first transition is 4375878; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 13 × 56101

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 21,991,984

Proper Divisor Sum 13,240,228

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #8751749 ← → #8751767

Radix Representation

Decimal	8751756
Binary	100001011000101010001100 (24 bits)
Octal	0o41305214
Hexadecimal	0x858A8C

Divisor Catalog (24)

1 2 3 4 6 12 13 26 39 52 78 156 56,101 112,202 168,303 224,404 336,606 673,212 729,313 1,458,626 2,187,939 2,917,252 4,375,878 8,751,756

Collatz Trajectory (93 steps to reach 1)

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

8,751,756 4,375,878 2,187,939 6,563,818 3,281,909 9,845,728 4,922,864 2,461,432 1,230,716 615,358 307,679 923,038 461,519 1,384,558 692,279 2,076,838 1,038,419 3,115,258 1,557,629 4,672,888 2,336,444 1,168,222 584,111 1,752,334 876,167 2,628,502 1,314,251 3,942,754 1,971,377 5,914,132 2,957,066 1,478,533 4,435,600 2,217,800 1,108,900 554,450 277,225 831,676 415,838 207,919 623,758 311,879 935,638 467,819 1,403,458 701,729 2,105,188 1,052,594 526,297 1,578,892 789,446 394,723 1,184,170 592,085 1,776,256 888,128 444,064 222,032 111,016 55,508

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