7,462,165

5 × 31² × 1553

7,462,165 is odd and not a perfect square. Its factorization is 5 × 31^2 × 1553 and its 12 divisors sum to 9,258,732.

Prime Factor Structure

Factorization String 5 × 31^2 × 1553

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 9,258,732

Proper Divisor Sum 1,796,567

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #7462159 ← → #7462199

Radix Representation

Decimal	7462165
Binary	11100011101110100010101 (23 bits)
Octal	0o34356425
Hexadecimal	0x71DD15

Divisor Catalog (12)

1 5 31 155 961 1,553 4,805 7,765 48,143 240,715 1,492,433 7,462,165

Collatz Trajectory (67 steps to reach 1)

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

7,462,165 22,386,496 11,193,248 5,596,624 2,798,312 1,399,156 699,578 349,789 1,049,368 524,684 262,342 131,171 393,514 196,757 590,272 295,136 147,568 73,784 36,892 18,446 9,223 27,670 13,835 41,506 20,753 62,260 31,130 15,565 46,696 23,348 11,674 5,837 17,512 8,756 4,378 2,189 6,568 3,284 1,642 821 2,464 1,232 616 308 154 77 232 116 58 29 88 44 22 11 34 17 52 26 13 40

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