λ
Sequence Observatory

4,709,254

2 × 11 × 83 × 2579
Deficient Even Composite

Starting at 4,709,254, the Collatz iteration reaches 1 after 131 steps. The first transition is 2354627; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 11 × 83 × 2579
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 7,801,920
Proper Divisor Sum 3,092,666
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #4709251 ← → #4709267

Radix Representation

Decimal 4709254
Binary 10001111101101110000110 (23 bits)
Octal 0o21755606
Hexadecimal 0x47DB86

Divisor Catalog (16)

1 2 11 22 83 166 913 1,826 2,579 5,158 28,369 56,738 214,057 428,114 2,354,627 4,709,254

Collatz Trajectory (131 steps to reach 1)

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

4,709,254 2,354,627 7,063,882 3,531,941 10,595,824 5,297,912 2,648,956 1,324,478 662,239 1,986,718 993,359 2,980,078 1,490,039 4,470,118 2,235,059 6,705,178 3,352,589 10,057,768 5,028,884 2,514,442 1,257,221 3,771,664 1,885,832 942,916 471,458 235,729 707,188 353,594 176,797 530,392 265,196 132,598 66,299 198,898 99,449 298,348 149,174 74,587 223,762 111,881 335,644 167,822 83,911 251,734 125,867 377,602 188,801 566,404 283,202 141,601 424,804 212,402 106,201 318,604 159,302 79,651 238,954 119,477 358,432 179,216

More profiles

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