2,942,478

2 × 3² × 7 × 11² × 193

2,942,478 has digital root 9. The neighboring primes are 2942477 and 2942503; its proper-divisor sum differs from the starting integer by 2,165,268.

Prime Factor Structure

Factorization String 2 × 3^2 × 7 × 11^2 × 193

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 8,050,224

Proper Divisor Sum 5,107,746

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #2942477 ← → #2942503

Radix Representation

Decimal	2942478
Binary	1011001110011000001110 (22 bits)
Octal	0o13163016
Hexadecimal	0x2CE60E

Divisor Catalog (60 of 72)

1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 121 126 154 193 198 231 242 363 386 462 579 693 726 847 1,089 1,158 1,351 1,386 1,694 1,737 2,123 2,178 2,541 2,702 3,474 4,053 4,246 5,082 6,369 7,623 8,106 12,159 12,738 14,861 15,246 19,107 23,353 24,318 29,722 38,214 44,583 46,706 70,059

Collatz Trajectory (151 steps to reach 1)

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

2,942,478 1,471,239 4,413,718 2,206,859 6,620,578 3,310,289 9,930,868 4,965,434 2,482,717 7,448,152 3,724,076 1,862,038 931,019 2,793,058 1,396,529 4,189,588 2,094,794 1,047,397 3,142,192 1,571,096 785,548 392,774 196,387 589,162 294,581 883,744 441,872 220,936 110,468 55,234 27,617 82,852 41,426 20,713 62,140 31,070 15,535 46,606 23,303 69,910 34,955 104,866 52,433 157,300 78,650 39,325 117,976 58,988 29,494 14,747 44,242 22,121 66,364 33,182 16,591 49,774 24,887 74,662 37,331 111,994

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