λ
Prime Ledger

7,412,729

7412729
Deficient Odd Prime

7,412,729 has the prime decomposition 7412729. Its 1 distinct prime factor produce 2 positive divisors.

Prime Factor Structure

Factorization String 7412729
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 7,412,730
Proper Divisor Sum 1
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #7412723 ← → #7412771

Radix Representation

Decimal 7412729
Binary 11100010001101111111001 (23 bits)
Octal 0o34215771
Hexadecimal 0x711BF9

Divisor Catalog (2)

Collatz Trajectory (116 steps to reach 1)

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

7,412,729 22,238,188 11,119,094 5,559,547 16,678,642 8,339,321 25,017,964 12,508,982 6,254,491 18,763,474 9,381,737 28,145,212 14,072,606 7,036,303 21,108,910 10,554,455 31,663,366 15,831,683 47,495,050 23,747,525 71,242,576 35,621,288 17,810,644 8,905,322 4,452,661 13,357,984 6,678,992 3,339,496 1,669,748 834,874 417,437 1,252,312 626,156 313,078 156,539 469,618 234,809 704,428 352,214 176,107 528,322 264,161 792,484 396,242 198,121 594,364 297,182 148,591 445,774 222,887 668,662 334,331 1,002,994 501,497 1,504,492 752,246 376,123 1,128,370 564,185 1,692,556

More profiles

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