2,072,724

2² × 3 × 53 × 3259

2,072,724 has the prime decomposition 2^2 × 3 × 53 × 3259. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 53 × 3259

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 4,929,120

Proper Divisor Sum 2,856,396

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #2072701 ← → #2072731

Radix Representation

Decimal	2072724
Binary	111111010000010010100 (21 bits)
Octal	0o7720224
Hexadecimal	0x1FA094

Divisor Catalog (24)

1 2 3 4 6 12 53 106 159 212 318 636 3,259 6,518 9,777 13,036 19,554 39,108 172,727 345,454 518,181 690,908 1,036,362 2,072,724

Collatz Trajectory (60 steps to reach 1)

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

2,072,724 1,036,362 518,181 1,554,544 777,272 388,636 194,318 97,159 291,478 145,739 437,218 218,609 655,828 327,914 163,957 491,872 245,936 122,968 61,484 30,742 15,371 46,114 23,057 69,172 34,586 17,293 51,880 25,940 12,970 6,485 19,456 9,728 4,864 2,432 1,216 608 304 152 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2

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