7,133,518

2 × 7² × 83 × 877

Starting at 7,133,518, the Collatz iteration reaches 1 after 147 steps. The first transition is 3566759; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 7^2 × 83 × 877

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 12,611,592

Proper Divisor Sum 5,478,074

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #7133509 ← → #7133521

Radix Representation

Decimal	7133518
Binary	11011001101100101001110 (23 bits)
Octal	0o33154516
Hexadecimal	0x6CD94E

Divisor Catalog (24)

1 2 7 14 49 83 98 166 581 877 1,162 1,754 4,067 6,139 8,134 12,278 42,973 72,791 85,946 145,582 509,537 1,019,074 3,566,759 7,133,518

Collatz Trajectory (147 steps to reach 1)

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

7,133,518 3,566,759 10,700,278 5,350,139 16,050,418 8,025,209 24,075,628 12,037,814 6,018,907 18,056,722 9,028,361 27,085,084 13,542,542 6,771,271 20,313,814 10,156,907 30,470,722 15,235,361 45,706,084 22,853,042 11,426,521 34,279,564 17,139,782 8,569,891 25,709,674 12,854,837 38,564,512 19,282,256 9,641,128 4,820,564 2,410,282 1,205,141 3,615,424 1,807,712 903,856 451,928 225,964 112,982 56,491 169,474 84,737 254,212 127,106 63,553 190,660 95,330 47,665 142,996 71,498 35,749 107,248 53,624 26,812 13,406 6,703 20,110 10,055 30,166 15,083 45,250

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