λ
Sigma Notebook

2,607,516

22 × 32 × 72431
Abundant Even Composite

2,607,516 is even and not a perfect square. Its factorization is 2^2 × 3^2 × 72431 and its 18 divisors sum to 6,591,312.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 72431
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 18
Divisor Sum (σ) 6,591,312
Proper Divisor Sum 3,983,796
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #2607509 ← → #2607523

Radix Representation

Decimal 2607516
Binary 1001111100100110011100 (22 bits)
Octal 0o11744634
Hexadecimal 0x27C99C

Divisor Catalog (18)

1 2 3 4 6 9 12 18 36 72,431 144,862 217,293 289,724 434,586 651,879 869,172 1,303,758 2,607,516

Collatz Trajectory (99 steps to reach 1)

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

2,607,516 1,303,758 651,879 1,955,638 977,819 2,933,458 1,466,729 4,400,188 2,200,094 1,100,047 3,300,142 1,650,071 4,950,214 2,475,107 7,425,322 3,712,661 11,137,984 5,568,992 2,784,496 1,392,248 696,124 348,062 174,031 522,094 261,047 783,142 391,571 1,174,714 587,357 1,762,072 881,036 440,518 220,259 660,778 330,389 991,168 495,584 247,792 123,896 61,948 30,974 15,487 46,462 23,231 69,694 34,847 104,542 52,271 156,814 78,407 235,222 117,611 352,834 176,417 529,252 264,626 132,313 396,940 198,470 99,235

More profiles

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