7,346,348

2² × 683 × 2689

7,346,348 factors as 2^2 × 683 × 2689. Its 12 positive divisors give a proper-divisor sum of 5,533,372, so this integer is deficient. The Collatz stopping time is 116 steps.

Prime Factor Structure

Factorization String 2^2 × 683 × 2689

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 12,879,720

Proper Divisor Sum 5,533,372

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #7346347 ← → #7346371

Radix Representation

Decimal	7346348
Binary	11100000001100010101100 (23 bits)
Octal	0o34014254
Hexadecimal	0x7018AC

Divisor Catalog (12)

1 2 4 683 1,366 2,689 2,732 5,378 10,756 1,836,587 3,673,174 7,346,348

Collatz Trajectory (116 steps to reach 1)

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

7,346,348 3,673,174 1,836,587 5,509,762 2,754,881 8,264,644 4,132,322 2,066,161 6,198,484 3,099,242 1,549,621 4,648,864 2,324,432 1,162,216 581,108 290,554 145,277 435,832 217,916 108,958 54,479 163,438 81,719 245,158 122,579 367,738 183,869 551,608 275,804 137,902 68,951 206,854 103,427 310,282 155,141 465,424 232,712 116,356 58,178 29,089 87,268 43,634 21,817 65,452 32,726 16,363 49,090 24,545 73,636 36,818 18,409 55,228 27,614 13,807 41,422 20,711 62,134 31,067 93,202 46,601

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