λ
Sequence Observatory

7,492,538

2 × 3746269
Deficient Even Composite

Starting at 7,492,538, the Collatz iteration reaches 1 after 67 steps. The first transition is 3746269; the starting value is even with 4 positive divisors.

Prime Factor Structure

Factorization String 2 × 3746269
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 11,238,810
Proper Divisor Sum 3,746,272
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #7492531 ← → #7492547

Radix Representation

Decimal 7492538
Binary 11100100101001110111010 (23 bits)
Octal 0o34451672
Hexadecimal 0x7253BA

Divisor Catalog (4)

1 2 3,746,269 7,492,538

Collatz Trajectory (67 steps to reach 1)

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

7,492,538 3,746,269 11,238,808 5,619,404 2,809,702 1,404,851 4,214,554 2,107,277 6,321,832 3,160,916 1,580,458 790,229 2,370,688 1,185,344 592,672 296,336 148,168 74,084 37,042 18,521 55,564 27,782 13,891 41,674 20,837 62,512 31,256 15,628 7,814 3,907 11,722 5,861 17,584 8,792 4,396 2,198 1,099 3,298 1,649 4,948 2,474 1,237 3,712 1,856 928 464 232 116 58 29 88 44 22 11 34 17 52 26 13 40

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