λ
Sequence Observatory

8,303,734

2 × 71 × 58477
Deficient Even Composite

Starting at 8,303,734, the Collatz iteration reaches 1 after 75 steps. The first transition is 4151867; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 71 × 58477
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 12,631,248
Proper Divisor Sum 4,327,514
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #8303723 ← → #8303749

Radix Representation

Decimal 8303734
Binary 11111101011010001110110 (23 bits)
Octal 0o37532166
Hexadecimal 0x7EB476

Divisor Catalog (8)

1 2 71 142 58,477 116,954 4,151,867 8,303,734

Collatz Trajectory (75 steps to reach 1)

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

8,303,734 4,151,867 12,455,602 6,227,801 18,683,404 9,341,702 4,670,851 14,012,554 7,006,277 21,018,832 10,509,416 5,254,708 2,627,354 1,313,677 3,941,032 1,970,516 985,258 492,629 1,477,888 738,944 369,472 184,736 92,368 46,184 23,092 11,546 5,773 17,320 8,660 4,330 2,165 6,496 3,248 1,624 812 406 203 610 305 916 458 229 688 344 172 86 43 130 65 196 98 49 148 74 37 112 56 28 14 7

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