972,342

2 × 3² × 7 × 7717

972,342 is even and not a perfect square. Its factorization is 2 × 3^2 × 7 × 7717 and its 24 divisors sum to 2,408,016.

Prime Factor Structure

Factorization String 2 × 3^2 × 7 × 7717

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 2,408,016

Proper Divisor Sum 1,435,674

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #972337 ← → #972343

Radix Representation

Decimal	972342
Binary	11101101011000110110 (20 bits)
Octal	0o3553066
Hexadecimal	0xED636

Divisor Catalog (24)

1 2 3 6 7 9 14 18 21 42 63 126 7,717 15,434 23,151 46,302 54,019 69,453 108,038 138,906 162,057 324,114 486,171 972,342

Collatz Trajectory (170 steps to reach 1)

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

972,342 486,171 1,458,514 729,257 2,187,772 1,093,886 546,943 1,640,830 820,415 2,461,246 1,230,623 3,691,870 1,845,935 5,537,806 2,768,903 8,306,710 4,153,355 12,460,066 6,230,033 18,690,100 9,345,050 4,672,525 14,017,576 7,008,788 3,504,394 1,752,197 5,256,592 2,628,296 1,314,148 657,074 328,537 985,612 492,806 246,403 739,210 369,605 1,108,816 554,408 277,204 138,602 69,301 207,904 103,952 51,976 25,988 12,994 6,497 19,492 9,746 4,873 14,620 7,310 3,655 10,966 5,483 16,450 8,225 24,676 12,338 6,169

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