λ
Prime Ledger

7,792,313

7792313
Deficient Odd Prime

7,792,313 has the prime decomposition 7792313. Its 1 distinct prime factor produce 2 positive divisors.

Prime Factor Structure

Factorization String 7792313
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 7,792,314
Proper Divisor Sum 1
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #7792303 ← → #7792319

Radix Representation

Decimal 7792313
Binary 11101101110011010111001 (23 bits)
Octal 0o35563271
Hexadecimal 0x76E6B9

Divisor Catalog (2)

Collatz Trajectory (93 steps to reach 1)

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

7,792,313 23,376,940 11,688,470 5,844,235 17,532,706 8,766,353 26,299,060 13,149,530 6,574,765 19,724,296 9,862,148 4,931,074 2,465,537 7,396,612 3,698,306 1,849,153 5,547,460 2,773,730 1,386,865 4,160,596 2,080,298 1,040,149 3,120,448 1,560,224 780,112 390,056 195,028 97,514 48,757 146,272 73,136 36,568 18,284 9,142 4,571 13,714 6,857 20,572 10,286 5,143 15,430 7,715 23,146 11,573 34,720 17,360 8,680 4,340 2,170 1,085 3,256 1,628 814 407 1,222 611 1,834 917 2,752 1,376

More profiles

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