8,722,558

2 × 13 × 19 × 17657

Starting at 8,722,558, the Collatz iteration reaches 1 after 93 steps. The first transition is 4361279; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 13 × 19 × 17657

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 14,832,720

Proper Divisor Sum 6,110,162

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #8722541 ← → #8722603

Radix Representation

Decimal	8722558
Binary	100001010001100001111110 (24 bits)
Octal	0o41214176
Hexadecimal	0x85187E

Divisor Catalog (16)

1 2 13 19 26 38 247 494 17,657 35,314 229,541 335,483 459,082 670,966 4,361,279 8,722,558

Collatz Trajectory (93 steps to reach 1)

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

8,722,558 4,361,279 13,083,838 6,541,919 19,625,758 9,812,879 29,438,638 14,719,319 44,157,958 22,078,979 66,236,938 33,118,469 99,355,408 49,677,704 24,838,852 12,419,426 6,209,713 18,629,140 9,314,570 4,657,285 13,971,856 6,985,928 3,492,964 1,746,482 873,241 2,619,724 1,309,862 654,931 1,964,794 982,397 2,947,192 1,473,596 736,798 368,399 1,105,198 552,599 1,657,798 828,899 2,486,698 1,243,349 3,730,048 1,865,024 932,512 466,256 233,128 116,564 58,282 29,141 87,424 43,712 21,856 10,928 5,464 2,732 1,366 683 2,050 1,025 3,076 1,538

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