λ
Prime Ledger

2,598,024

23 × 3 × 11 × 13 × 757
Abundant Even Composite

2,598,024 has the prime decomposition 2^3 × 3 × 11 × 13 × 757. Its 5 distinct prime factors produce 64 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3 × 11 × 13 × 757
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 7,640,640
Proper Divisor Sum 5,042,616
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #2597981 ← → #2598091

Radix Representation

Decimal 2598024
Binary 1001111010010010001000 (22 bits)
Octal 0o11722210
Hexadecimal 0x27A488

Divisor Catalog (60 of 64)

1 2 3 4 6 8 11 12 13 22 24 26 33 39 44 52 66 78 88 104 132 143 156 264 286 312 429 572 757 858 1,144 1,514 1,716 2,271 3,028 3,432 4,542 6,056 8,327 9,084 9,841 16,654 18,168 19,682 24,981 29,523 33,308 39,364 49,962 59,046 66,616 78,728 99,924 108,251 118,092 199,848 216,502 236,184 324,753 433,004

Collatz Trajectory (68 steps to reach 1)

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

2,598,024 1,299,012 649,506 324,753 974,260 487,130 243,565 730,696 365,348 182,674 91,337 274,012 137,006 68,503 205,510 102,755 308,266 154,133 462,400 231,200 115,600 57,800 28,900 14,450 7,225 21,676 10,838 5,419 16,258 8,129 24,388 12,194 6,097 18,292 9,146 4,573 13,720 6,860 3,430 1,715 5,146 2,573 7,720 3,860 1,930 965 2,896 1,448 724 362 181 544 272 136 68 34 17 52 26 13

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