8,931,567

3 × 23 × 129443

Starting at 8,931,567, the Collatz iteration reaches 1 after 199 steps. The first transition is 26794702; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 23 × 129443

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 12,426,624

Proper Divisor Sum 3,495,057

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #8931523 ← → #8931583

Radix Representation

Decimal	8931567
Binary	100010000100100011101111 (24 bits)
Octal	0o42044357
Hexadecimal	0x8848EF

Divisor Catalog (8)

1 3 23 69 129,443 388,329 2,977,189 8,931,567

Collatz Trajectory (199 steps to reach 1)

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

8,931,567 26,794,702 13,397,351 40,192,054 20,096,027 60,288,082 30,144,041 90,432,124 45,216,062 22,608,031 67,824,094 33,912,047 101,736,142 50,868,071 152,604,214 76,302,107 228,906,322 114,453,161 343,359,484 171,679,742 85,839,871 257,519,614 128,759,807 386,279,422 193,139,711 579,419,134 289,709,567 869,128,702 434,564,351 1,303,693,054 651,846,527 1,955,539,582 977,769,791 2,933,309,374 1,466,654,687 4,399,964,062 2,199,982,031 6,599,946,094 3,299,973,047 9,899,919,142 4,949,959,571 14,849,878,714 7,424,939,357 22,274,818,072 11,137,409,036 5,568,704,518 2,784,352,259 8,353,056,778 4,176,528,389 12,529,585,168 6,264,792,584 3,132,396,292 1,566,198,146 783,099,073 2,349,297,220 1,174,648,610 587,324,305 1,761,972,916 880,986,458 440,493,229

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