8,933,778

2 × 3² × 7³ × 1447

Starting at 8,933,778, the Collatz iteration reaches 1 after 181 steps. The first transition is 4466889; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 7^3 × 1447

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 22,588,800

Proper Divisor Sum 13,655,022

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #8933773 ← → #8933779

Radix Representation

Decimal	8933778
Binary	100010000101000110010010 (24 bits)
Octal	0o42050622
Hexadecimal	0x885192

Divisor Catalog (48)

1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 294 343 441 686 882 1,029 1,447 2,058 2,894 3,087 4,341 6,174 8,682 10,129 13,023 20,258 26,046 30,387 60,774 70,903 91,161 141,806 182,322 212,709 425,418 496,321 638,127 992,642 1,276,254 1,488,963 2,977,926 4,466,889 8,933,778

Collatz Trajectory (181 steps to reach 1)

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

8,933,778 4,466,889 13,400,668 6,700,334 3,350,167 10,050,502 5,025,251 15,075,754 7,537,877 22,613,632 11,306,816 5,653,408 2,826,704 1,413,352 706,676 353,338 176,669 530,008 265,004 132,502 66,251 198,754 99,377 298,132 149,066 74,533 223,600 111,800 55,900 27,950 13,975 41,926 20,963 62,890 31,445 94,336 47,168 23,584 11,792 5,896 2,948 1,474 737 2,212 1,106 553 1,660 830 415 1,246 623 1,870 935 2,806 1,403 4,210 2,105 6,316 3,158 1,579

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