λ
Sequence Observatory

5,074,950

2 × 3 × 52 × 23 × 1471
Abundant Even Composite

Starting at 5,074,950, the Collatz iteration reaches 1 after 175 steps. The first transition is 2537475; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 5^2 × 23 × 1471
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 13,142,016
Proper Divisor Sum 8,067,066
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #5074933 ← → #5074961

Radix Representation

Decimal 5074950
Binary 10011010111000000000110 (23 bits)
Octal 0o23270006
Hexadecimal 0x4D7006

Divisor Catalog (48)

1 2 3 5 6 10 15 23 25 30 46 50 69 75 115 138 150 230 345 575 690 1,150 1,471 1,725 2,942 3,450 4,413 7,355 8,826 14,710 22,065 33,833 36,775 44,130 67,666 73,550 101,499 110,325 169,165 202,998 220,650 338,330 507,495 845,825 1,014,990 1,691,650 2,537,475 5,074,950

Collatz Trajectory (175 steps to reach 1)

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

5,074,950 2,537,475 7,612,426 3,806,213 11,418,640 5,709,320 2,854,660 1,427,330 713,665 2,140,996 1,070,498 535,249 1,605,748 802,874 401,437 1,204,312 602,156 301,078 150,539 451,618 225,809 677,428 338,714 169,357 508,072 254,036 127,018 63,509 190,528 95,264 47,632 23,816 11,908 5,954 2,977 8,932 4,466 2,233 6,700 3,350 1,675 5,026 2,513 7,540 3,770 1,885 5,656 2,828 1,414 707 2,122 1,061 3,184 1,592 796 398 199 598 299 898

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