λ
Prime Ledger

3,721,061

61 × 61001
Deficient Odd Composite

3,721,061 has the prime decomposition 61 × 61001. Its 2 distinct prime factors produce 4 positive divisors.

Prime Factor Structure

Factorization String 61 × 61001
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 3,782,124
Proper Divisor Sum 61,063
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #3721051 ← → #3721063

Radix Representation

Decimal 3721061
Binary 1110001100011101100101 (22 bits)
Octal 0o16143545
Hexadecimal 0x38C765

Divisor Catalog (4)

1 61 61,001 3,721,061

Collatz Trajectory (172 steps to reach 1)

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

3,721,061 11,163,184 5,581,592 2,790,796 1,395,398 697,699 2,093,098 1,046,549 3,139,648 1,569,824 784,912 392,456 196,228 98,114 49,057 147,172 73,586 36,793 110,380 55,190 27,595 82,786 41,393 124,180 62,090 31,045 93,136 46,568 23,284 11,642 5,821 17,464 8,732 4,366 2,183 6,550 3,275 9,826 4,913 14,740 7,370 3,685 11,056 5,528 2,764 1,382 691 2,074 1,037 3,112 1,556 778 389 1,168 584 292 146 73 220 110

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