8,414,242

2 × 359 × 11719

Starting at 8,414,242, the Collatz iteration reaches 1 after 243 steps. The first transition is 4207121; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 359 × 11719

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 12,657,600

Proper Divisor Sum 4,243,358

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #8414233 ← → #8414243

Radix Representation

Decimal	8414242
Binary	100000000110010000100010 (24 bits)
Octal	0o40062042
Hexadecimal	0x806422

Divisor Catalog (8)

1 2 359 718 11,719 23,438 4,207,121 8,414,242

Collatz Trajectory (243 steps to reach 1)

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

8,414,242 4,207,121 12,621,364 6,310,682 3,155,341 9,466,024 4,733,012 2,366,506 1,183,253 3,549,760 1,774,880 887,440 443,720 221,860 110,930 55,465 166,396 83,198 41,599 124,798 62,399 187,198 93,599 280,798 140,399 421,198 210,599 631,798 315,899 947,698 473,849 1,421,548 710,774 355,387 1,066,162 533,081 1,599,244 799,622 399,811 1,199,434 599,717 1,799,152 899,576 449,788 224,894 112,447 337,342 168,671 506,014 253,007 759,022 379,511 1,138,534 569,267 1,707,802 853,901 2,561,704 1,280,852 640,426 320,213

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