λ
Sequence Observatory

8,989,190

2 × 5 × 7 × 281 × 457
Abundant Even Composite

Starting at 8,989,190, the Collatz iteration reaches 1 after 163 steps. The first transition is 4494595; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 5 × 7 × 281 × 457
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 18,598,464
Proper Divisor Sum 9,609,274
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #8989153 ← → #8989199

Radix Representation

Decimal 8989190
Binary 100010010010101000000110 (24 bits)
Octal 0o42225006
Hexadecimal 0x892A06

Divisor Catalog (32)

1 2 5 7 10 14 35 70 281 457 562 914 1,405 1,967 2,285 2,810 3,199 3,934 4,570 6,398 9,835 15,995 19,670 31,990 128,417 256,834 642,085 898,919 1,284,170 1,797,838 4,494,595 8,989,190

Collatz Trajectory (163 steps to reach 1)

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

8,989,190 4,494,595 13,483,786 6,741,893 20,225,680 10,112,840 5,056,420 2,528,210 1,264,105 3,792,316 1,896,158 948,079 2,844,238 1,422,119 4,266,358 2,133,179 6,399,538 3,199,769 9,599,308 4,799,654 2,399,827 7,199,482 3,599,741 10,799,224 5,399,612 2,699,806 1,349,903 4,049,710 2,024,855 6,074,566 3,037,283 9,111,850 4,555,925 13,667,776 6,833,888 3,416,944 1,708,472 854,236 427,118 213,559 640,678 320,339 961,018 480,509 1,441,528 720,764 360,382 180,191 540,574 270,287 810,862 405,431 1,216,294 608,147 1,824,442 912,221 2,736,664 1,368,332 684,166 342,083

More profiles

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