6,425,724

2² × 3 × 19 × 28183

For 6,425,724, the 24 positive divisors have a total of 15,783,040. Removing 6,425,724 leaves 9,357,316, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^2 × 3 × 19 × 28183

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 15,783,040

Proper Divisor Sum 9,357,316

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #6425719 ← → #6425737

Radix Representation

Decimal	6425724
Binary	11000100000110001111100 (23 bits)
Octal	0o30406174
Hexadecimal	0x620C7C

Divisor Catalog (24)

1 2 3 4 6 12 19 38 57 76 114 228 28,183 56,366 84,549 112,732 169,098 338,196 535,477 1,070,954 1,606,431 2,141,908 3,212,862 6,425,724

Collatz Trajectory (147 steps to reach 1)

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

6,425,724 3,212,862 1,606,431 4,819,294 2,409,647 7,228,942 3,614,471 10,843,414 5,421,707 16,265,122 8,132,561 24,397,684 12,198,842 6,099,421 18,298,264 9,149,132 4,574,566 2,287,283 6,861,850 3,430,925 10,292,776 5,146,388 2,573,194 1,286,597 3,859,792 1,929,896 964,948 482,474 241,237 723,712 361,856 180,928 90,464 45,232 22,616 11,308 5,654 2,827 8,482 4,241 12,724 6,362 3,181 9,544 4,772 2,386 1,193 3,580 1,790 895 2,686 1,343 4,030 2,015 6,046 3,023 9,070 4,535 13,606 6,803

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