λ
Sequence Observatory

7,375,719

3 × 13 × 379 × 499
Deficient Odd Composite

Starting at 7,375,719, the Collatz iteration reaches 1 after 142 steps. The first transition is 22127158; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 13 × 379 × 499
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 10,640,000
Proper Divisor Sum 3,264,281
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #7375681 ← → #7375721

Radix Representation

Decimal 7375719
Binary 11100001000101101100111 (23 bits)
Octal 0o34105547
Hexadecimal 0x708B67

Divisor Catalog (16)

1 3 13 39 379 499 1,137 1,497 4,927 6,487 14,781 19,461 189,121 567,363 2,458,573 7,375,719

Collatz Trajectory (142 steps to reach 1)

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

7,375,719 22,127,158 11,063,579 33,190,738 16,595,369 49,786,108 24,893,054 12,446,527 37,339,582 18,669,791 56,009,374 28,004,687 84,014,062 42,007,031 126,021,094 63,010,547 189,031,642 94,515,821 283,547,464 141,773,732 70,886,866 35,443,433 106,330,300 53,165,150 26,582,575 79,747,726 39,873,863 119,621,590 59,810,795 179,432,386 89,716,193 269,148,580 134,574,290 67,287,145 201,861,436 100,930,718 50,465,359 151,396,078 75,698,039 227,094,118 113,547,059 340,641,178 170,320,589 510,961,768 255,480,884 127,740,442 63,870,221 191,610,664 95,805,332 47,902,666 23,951,333 71,854,000 35,927,000 17,963,500 8,981,750 4,490,875 13,472,626 6,736,313 20,208,940 10,104,470

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