λ
Prime Ledger

707,741

83 × 8527
Deficient Odd Composite

707,741 has the prime decomposition 83 × 8527. Its 2 distinct prime factors produce 4 positive divisors.

Prime Factor Structure

Factorization String 83 × 8527
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 716,352
Proper Divisor Sum 8,611
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #707723 ← → #707747

Radix Representation

Decimal 707741
Binary 10101100110010011101 (20 bits)
Octal 0o2546235
Hexadecimal 0xACC9D

Divisor Catalog (4)

1 83 8,527 707,741

Collatz Trajectory (136 steps to reach 1)

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

707,741 2,123,224 1,061,612 530,806 265,403 796,210 398,105 1,194,316 597,158 298,579 895,738 447,869 1,343,608 671,804 335,902 167,951 503,854 251,927 755,782 377,891 1,133,674 566,837 1,700,512 850,256 425,128 212,564 106,282 53,141 159,424 79,712 39,856 19,928 9,964 4,982 2,491 7,474 3,737 11,212 5,606 2,803 8,410 4,205 12,616 6,308 3,154 1,577 4,732 2,366 1,183 3,550 1,775 5,326 2,663 7,990 3,995 11,986 5,993 17,980 8,990 4,495

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