2,754,623

29 × 43 × 47²

2,754,623 factors as 29 × 43 × 47^2. Its 12 positive divisors give a proper-divisor sum of 224,617, so this integer is deficient. The Collatz stopping time is 156 steps.

Prime Factor Structure

Factorization String 29 × 43 × 47^2

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 2,979,240

Proper Divisor Sum 224,617

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #2754617 ← → #2754649

Radix Representation

Decimal	2754623
Binary	1010100000100000111111 (22 bits)
Octal	0o12404077
Hexadecimal	0x2A083F

Divisor Catalog (12)

1 29 43 47 1,247 1,363 2,021 2,209 58,609 64,061 94,987 2,754,623

Collatz Trajectory (156 steps to reach 1)

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

2,754,623 8,263,870 4,131,935 12,395,806 6,197,903 18,593,710 9,296,855 27,890,566 13,945,283 41,835,850 20,917,925 62,753,776 31,376,888 15,688,444 7,844,222 3,922,111 11,766,334 5,883,167 17,649,502 8,824,751 26,474,254 13,237,127 39,711,382 19,855,691 59,567,074 29,783,537 89,350,612 44,675,306 22,337,653 67,012,960 33,506,480 16,753,240 8,376,620 4,188,310 2,094,155 6,282,466 3,141,233 9,423,700 4,711,850 2,355,925 7,067,776 3,533,888 1,766,944 883,472 441,736 220,868 110,434 55,217 165,652 82,826 41,413 124,240 62,120 31,060 15,530 7,765 23,296 11,648 5,824 2,912

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