λ
Prime Ledger

5,134,791

3 × 71 × 24107
Deficient Odd Composite

5,134,791 has the prime decomposition 3 × 71 × 24107. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 71 × 24107
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 6,943,104
Proper Divisor Sum 1,808,313
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #5134783 ← → #5134793

Radix Representation

Decimal 5134791
Binary 10011100101100111000111 (23 bits)
Octal 0o23454707
Hexadecimal 0x4E59C7

Divisor Catalog (8)

1 3 71 213 24,107 72,321 1,711,597 5,134,791

Collatz Trajectory (263 steps to reach 1)

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

5,134,791 15,404,374 7,702,187 23,106,562 11,553,281 34,659,844 17,329,922 8,664,961 25,994,884 12,997,442 6,498,721 19,496,164 9,748,082 4,874,041 14,622,124 7,311,062 3,655,531 10,966,594 5,483,297 16,449,892 8,224,946 4,112,473 12,337,420 6,168,710 3,084,355 9,253,066 4,626,533 13,879,600 6,939,800 3,469,900 1,734,950 867,475 2,602,426 1,301,213 3,903,640 1,951,820 975,910 487,955 1,463,866 731,933 2,195,800 1,097,900 548,950 274,475 823,426 411,713 1,235,140 617,570 308,785 926,356 463,178 231,589 694,768 347,384 173,692 86,846 43,423 130,270 65,135 195,406

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