λ
Sequence Observatory

4,750,482

2 × 3 × 11 × 167 × 431
Abundant Even Composite

Starting at 4,750,482, the Collatz iteration reaches 1 after 123 steps. The first transition is 2375241; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 11 × 167 × 431
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 10,450,944
Proper Divisor Sum 5,700,462
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #4750477 ← → #4750517

Radix Representation

Decimal 4750482
Binary 10010000111110010010010 (23 bits)
Octal 0o22076222
Hexadecimal 0x487C92

Divisor Catalog (32)

1 2 3 6 11 22 33 66 167 334 431 501 862 1,002 1,293 1,837 2,586 3,674 4,741 5,511 9,482 11,022 14,223 28,446 71,977 143,954 215,931 431,862 791,747 1,583,494 2,375,241 4,750,482

Collatz Trajectory (123 steps to reach 1)

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

4,750,482 2,375,241 7,125,724 3,562,862 1,781,431 5,344,294 2,672,147 8,016,442 4,008,221 12,024,664 6,012,332 3,006,166 1,503,083 4,509,250 2,254,625 6,763,876 3,381,938 1,690,969 5,072,908 2,536,454 1,268,227 3,804,682 1,902,341 5,707,024 2,853,512 1,426,756 713,378 356,689 1,070,068 535,034 267,517 802,552 401,276 200,638 100,319 300,958 150,479 451,438 225,719 677,158 338,579 1,015,738 507,869 1,523,608 761,804 380,902 190,451 571,354 285,677 857,032 428,516 214,258 107,129 321,388 160,694 80,347 241,042 120,521 361,564 180,782

More profiles

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