8,400,942

2 × 3³ × 11 × 14143

8,400,942 is even and not a perfect square. Its factorization is 2 × 3^3 × 11 × 14143 and its 32 divisors sum to 20,367,360.

Prime Factor Structure

Factorization String 2 × 3^3 × 11 × 14143

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 20,367,360

Proper Divisor Sum 11,966,418

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #8400937 ← → #8400943

Radix Representation

Decimal	8400942
Binary	100000000011000000101110 (24 bits)
Octal	0o40030056
Hexadecimal	0x80302E

Divisor Catalog (32)

1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 594 14,143 28,286 42,429 84,858 127,287 155,573 254,574 311,146 381,861 466,719 763,722 933,438 1,400,157 2,800,314 4,200,471 8,400,942

Collatz Trajectory (93 steps to reach 1)

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

8,400,942 4,200,471 12,601,414 6,300,707 18,902,122 9,451,061 28,353,184 14,176,592 7,088,296 3,544,148 1,772,074 886,037 2,658,112 1,329,056 664,528 332,264 166,132 83,066 41,533 124,600 62,300 31,150 15,575 46,726 23,363 70,090 35,045 105,136 52,568 26,284 13,142 6,571 19,714 9,857 29,572 14,786 7,393 22,180 11,090 5,545 16,636 8,318 4,159 12,478 6,239 18,718 9,359 28,078 14,039 42,118 21,059 63,178 31,589 94,768 47,384 23,692 11,846 5,923 17,770 8,885

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