λ
Sigma Notebook

1,702,740

22 × 3 × 5 × 13 × 37 × 59
Abundant Even Composite

1,702,740 is even and not a perfect square. Its factorization is 2^2 × 3 × 5 × 13 × 37 × 59 and its 96 divisors sum to 5,362,560.

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 13 × 37 × 59
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 96
Divisor Sum (σ) 5,362,560
Proper Divisor Sum 3,659,820
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #1702739 ← → #1702741

Radix Representation

Decimal 1702740
Binary 110011111101101010100 (21 bits)
Octal 0o6375524
Hexadecimal 0x19FB54

Divisor Catalog (60 of 96)

1 2 3 4 5 6 10 12 13 15 20 26 30 37 39 52 59 60 65 74 78 111 118 130 148 156 177 185 195 222 236 260 295 354 370 390 444 481 555 590 708 740 767 780 885 962 1,110 1,180 1,443 1,534 1,770 1,924 2,183 2,220 2,301 2,405 2,886 3,068 3,540 3,835

Collatz Trajectory (52 steps to reach 1)

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

1,702,740 851,370 425,685 1,277,056 638,528 319,264 159,632 79,816 39,908 19,954 9,977 29,932 14,966 7,483 22,450 11,225 33,676 16,838 8,419 25,258 12,629 37,888 18,944 9,472 4,736 2,368 1,184 592 296 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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