λ
Sigma Notebook

7,421,393

72 × 311 × 487
Deficient Odd Composite

7,421,393 is odd and not a perfect square. Its factorization is 7^2 × 311 × 487 and its 12 divisors sum to 8,678,592.

Prime Factor Structure

Factorization String 7^2 × 311 × 487
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 8,678,592
Proper Divisor Sum 1,257,199
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #7421383 ← → #7421437

Radix Representation

Decimal 7421393
Binary 11100010011110111010001 (23 bits)
Octal 0o34236721
Hexadecimal 0x713DD1

Divisor Catalog (12)

1 7 49 311 487 2,177 3,409 15,239 23,863 151,457 1,060,199 7,421,393

Collatz Trajectory (204 steps to reach 1)

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

7,421,393 22,264,180 11,132,090 5,566,045 16,698,136 8,349,068 4,174,534 2,087,267 6,261,802 3,130,901 9,392,704 4,696,352 2,348,176 1,174,088 587,044 293,522 146,761 440,284 220,142 110,071 330,214 165,107 495,322 247,661 742,984 371,492 185,746 92,873 278,620 139,310 69,655 208,966 104,483 313,450 156,725 470,176 235,088 117,544 58,772 29,386 14,693 44,080 22,040 11,020 5,510 2,755 8,266 4,133 12,400 6,200 3,100 1,550 775 2,326 1,163 3,490 1,745 5,236 2,618 1,309

More profiles

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