λ
Sequence Observatory

9,057,243

3 × 13 × 17 × 19 × 719
Deficient Odd Composite

Starting at 9,057,243, the Collatz iteration reaches 1 after 212 steps. The first transition is 27171730; the starting value is odd with 32 positive divisors.

Prime Factor Structure

Factorization String 3 × 13 × 17 × 19 × 719
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 14,515,200
Proper Divisor Sum 5,457,957
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #9057227 ← → #9057247

Radix Representation

Decimal 9057243
Binary 100010100011001111011011 (24 bits)
Octal 0o42431733
Hexadecimal 0x8A33DB

Divisor Catalog (32)

1 3 13 17 19 39 51 57 221 247 323 663 719 741 969 2,157 4,199 9,347 12,223 12,597 13,661 28,041 36,669 40,983 158,899 177,593 232,237 476,697 532,779 696,711 3,019,081 9,057,243

Collatz Trajectory (212 steps to reach 1)

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

9,057,243 27,171,730 13,585,865 40,757,596 20,378,798 10,189,399 30,568,198 15,284,099 45,852,298 22,926,149 68,778,448 34,389,224 17,194,612 8,597,306 4,298,653 12,895,960 6,447,980 3,223,990 1,611,995 4,835,986 2,417,993 7,253,980 3,626,990 1,813,495 5,440,486 2,720,243 8,160,730 4,080,365 12,241,096 6,120,548 3,060,274 1,530,137 4,590,412 2,295,206 1,147,603 3,442,810 1,721,405 5,164,216 2,582,108 1,291,054 645,527 1,936,582 968,291 2,904,874 1,452,437 4,357,312 2,178,656 1,089,328 544,664 272,332 136,166 68,083 204,250 102,125 306,376 153,188 76,594 38,297 114,892 57,446

More profiles

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