3,072,465

3³ × 5 × 11 × 2069

3,072,465 has digital root 9. The neighboring primes are 3072457 and 3072467; its proper-divisor sum differs from the starting integer by -183,330.

Prime Factor Structure

Factorization String 3^3 × 5 × 11 × 2069

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 5,961,600

Proper Divisor Sum 2,889,135

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #3072457 ← → #3072467

Radix Representation

Decimal	3072465
Binary	1011101110000111010001 (22 bits)
Octal	0o13560721
Hexadecimal	0x2EE1D1

Divisor Catalog (32)

1 3 5 9 11 15 27 33 45 55 99 135 165 297 495 1,485 2,069 6,207 10,345 18,621 22,759 31,035 55,863 68,277 93,105 113,795 204,831 279,315 341,385 614,493 1,024,155 3,072,465

Collatz Trajectory (102 steps to reach 1)

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

3,072,465 9,217,396 4,608,698 2,304,349 6,913,048 3,456,524 1,728,262 864,131 2,592,394 1,296,197 3,888,592 1,944,296 972,148 486,074 243,037 729,112 364,556 182,278 91,139 273,418 136,709 410,128 205,064 102,532 51,266 25,633 76,900 38,450 19,225 57,676 28,838 14,419 43,258 21,629 64,888 32,444 16,222 8,111 24,334 12,167 36,502 18,251 54,754 27,377 82,132 41,066 20,533 61,600 30,800 15,400 7,700 3,850 1,925 5,776 2,888 1,444 722 361 1,084 542

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