9,737,742

2 × 3 × 7 × 47 × 4933

9,737,742 has the prime decomposition 2 × 3 × 7 × 47 × 4933. Its 5 distinct prime factors produce 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 7 × 47 × 4933

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 22,735,872

Proper Divisor Sum 12,998,130

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #9737731 ← → #9737797

Radix Representation

Decimal	9737742
Binary	100101001001011000001110 (24 bits)
Octal	0o45113016
Hexadecimal	0x94960E

Divisor Catalog (32)

1 2 3 6 7 14 21 42 47 94 141 282 329 658 987 1,974 4,933 9,866 14,799 29,598 34,531 69,062 103,593 207,186 231,851 463,702 695,553 1,391,106 1,622,957 3,245,914 4,868,871 9,737,742

Collatz Trajectory (119 steps to reach 1)

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

9,737,742 4,868,871 14,606,614 7,303,307 21,909,922 10,954,961 32,864,884 16,432,442 8,216,221 24,648,664 12,324,332 6,162,166 3,081,083 9,243,250 4,621,625 13,864,876 6,932,438 3,466,219 10,398,658 5,199,329 15,597,988 7,798,994 3,899,497 11,698,492 5,849,246 2,924,623 8,773,870 4,386,935 13,160,806 6,580,403 19,741,210 9,870,605 29,611,816 14,805,908 7,402,954 3,701,477 11,104,432 5,552,216 2,776,108 1,388,054 694,027 2,082,082 1,041,041 3,123,124 1,561,562 780,781 2,342,344 1,171,172 585,586 292,793 878,380 439,190 219,595 658,786 329,393 988,180 494,090 247,045 741,136 370,568

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