2,024,540

2² × 5 × 7 × 14461

2,024,540 has the prime decomposition 2^2 × 5 × 7 × 14461. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 5 × 7 × 14461

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 4,859,232

Proper Divisor Sum 2,834,692

Digit Sum / Digital Root 17 (Root: 8)

Adjacent Primes #2024531 ← → #2024551

Radix Representation

Decimal	2024540
Binary	111101110010001011100 (21 bits)
Octal	0o7562134
Hexadecimal	0x1EE45C

Divisor Catalog (24)

1 2 4 5 7 10 14 20 28 35 70 140 14,461 28,922 57,844 72,305 101,227 144,610 202,454 289,220 404,908 506,135 1,012,270 2,024,540

Collatz Trajectory (197 steps to reach 1)

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

2,024,540 1,012,270 506,135 1,518,406 759,203 2,277,610 1,138,805 3,416,416 1,708,208 854,104 427,052 213,526 106,763 320,290 160,145 480,436 240,218 120,109 360,328 180,164 90,082 45,041 135,124 67,562 33,781 101,344 50,672 25,336 12,668 6,334 3,167 9,502 4,751 14,254 7,127 21,382 10,691 32,074 16,037 48,112 24,056 12,028 6,014 3,007 9,022 4,511 13,534 6,767 20,302 10,151 30,454 15,227 45,682 22,841 68,524 34,262 17,131 51,394 25,697 77,092

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