8,854,209

3² × 7 × 13 × 19 × 569

Starting at 8,854,209, the Collatz iteration reaches 1 after 106 steps. The first transition is 26562628; the starting value is odd with 48 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 7 × 13 × 19 × 569

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 16,598,400

Proper Divisor Sum 7,744,191

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #8854207 ← → #8854217

Radix Representation

Decimal	8854209
Binary	100001110001101011000001 (24 bits)
Octal	0o41615301
Hexadecimal	0x871AC1

Divisor Catalog (48)

1 3 7 9 13 19 21 39 57 63 91 117 133 171 247 273 399 569 741 819 1,197 1,707 1,729 2,223 3,983 5,121 5,187 7,397 10,811 11,949 15,561 22,191 32,433 35,847 51,779 66,573 75,677 97,299 140,543 155,337 227,031 421,629 466,011 681,093 983,801 1,264,887 2,951,403 8,854,209

Collatz Trajectory (106 steps to reach 1)

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

8,854,209 26,562,628 13,281,314 6,640,657 19,921,972 9,960,986 4,980,493 14,941,480 7,470,740 3,735,370 1,867,685 5,603,056 2,801,528 1,400,764 700,382 350,191 1,050,574 525,287 1,575,862 787,931 2,363,794 1,181,897 3,545,692 1,772,846 886,423 2,659,270 1,329,635 3,988,906 1,994,453 5,983,360 2,991,680 1,495,840 747,920 373,960 186,980 93,490 46,745 140,236 70,118 35,059 105,178 52,589 157,768 78,884 39,442 19,721 59,164 29,582 14,791 44,374 22,187 66,562 33,281 99,844 49,922 24,961 74,884 37,442 18,721 56,164

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