λ
Sigma Notebook

7,312,378

2 × 19 × 192431
Deficient Even Composite

7,312,378 is even and not a perfect square. Its factorization is 2 × 19 × 192431 and its 8 divisors sum to 11,545,920.

Prime Factor Structure

Factorization String 2 × 19 × 192431
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 11,545,920
Proper Divisor Sum 4,233,542
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #7312339 ← → #7312381

Radix Representation

Decimal 7312378
Binary 11011111001001111111010 (23 bits)
Octal 0o33711772
Hexadecimal 0x6F93FA

Divisor Catalog (8)

1 2 19 38 192,431 384,862 3,656,189 7,312,378

Collatz Trajectory (147 steps to reach 1)

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

7,312,378 3,656,189 10,968,568 5,484,284 2,742,142 1,371,071 4,113,214 2,056,607 6,169,822 3,084,911 9,254,734 4,627,367 13,882,102 6,941,051 20,823,154 10,411,577 31,234,732 15,617,366 7,808,683 23,426,050 11,713,025 35,139,076 17,569,538 8,784,769 26,354,308 13,177,154 6,588,577 19,765,732 9,882,866 4,941,433 14,824,300 7,412,150 3,706,075 11,118,226 5,559,113 16,677,340 8,338,670 4,169,335 12,508,006 6,254,003 18,762,010 9,381,005 28,143,016 14,071,508 7,035,754 3,517,877 10,553,632 5,276,816 2,638,408 1,319,204 659,602 329,801 989,404 494,702 247,351 742,054 371,027 1,113,082 556,541 1,669,624

More profiles

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