λ
Sigma Notebook

2,599,648

25 × 81239
Deficient Even Composite

2,599,648 is even and not a perfect square. Its factorization is 2^5 × 81239 and its 12 divisors sum to 5,118,120.

Prime Factor Structure

Factorization String 2^5 × 81239
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 5,118,120
Proper Divisor Sum 2,518,472
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #2599633 ← → #2599661

Radix Representation

Decimal 2599648
Binary 1001111010101011100000 (22 bits)
Octal 0o11725340
Hexadecimal 0x27AAE0

Divisor Catalog (12)

1 2 4 8 16 32 81,239 162,478 324,956 649,912 1,299,824 2,599,648

Collatz Trajectory (156 steps to reach 1)

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

2,599,648 1,299,824 649,912 324,956 162,478 81,239 243,718 121,859 365,578 182,789 548,368 274,184 137,092 68,546 34,273 102,820 51,410 25,705 77,116 38,558 19,279 57,838 28,919 86,758 43,379 130,138 65,069 195,208 97,604 48,802 24,401 73,204 36,602 18,301 54,904 27,452 13,726 6,863 20,590 10,295 30,886 15,443 46,330 23,165 69,496 34,748 17,374 8,687 26,062 13,031 39,094 19,547 58,642 29,321 87,964 43,982 21,991 65,974 32,987 98,962

More profiles

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