λ
Modular Archive

3,008,496

24 × 3 × 233 × 269
Abundant Even Composite

The decimal integer 3,008,496 is 1011011110011111110000 in binary (22 bits), 13363760 in octal and 2DE7F0 in hexadecimal. Its digit sum is 30.

Prime Factor Structure

Factorization String 2^4 × 3 × 233 × 269
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 7,834,320
Proper Divisor Sum 4,825,824
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #3008477 ← → #3008513

Radix Representation

Decimal 3008496
Binary 1011011110011111110000 (22 bits)
Octal 0o13363760
Hexadecimal 0x2DE7F0

Divisor Catalog (40)

1 2 3 4 6 8 12 16 24 48 233 269 466 538 699 807 932 1,076 1,398 1,614 1,864 2,152 2,796 3,228 3,728 4,304 5,592 6,456 11,184 12,912 62,677 125,354 188,031 250,708 376,062 501,416 752,124 1,002,832 1,504,248 3,008,496

Collatz Trajectory (138 steps to reach 1)

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

3,008,496 1,504,248 752,124 376,062 188,031 564,094 282,047 846,142 423,071 1,269,214 634,607 1,903,822 951,911 2,855,734 1,427,867 4,283,602 2,141,801 6,425,404 3,212,702 1,606,351 4,819,054 2,409,527 7,228,582 3,614,291 10,842,874 5,421,437 16,264,312 8,132,156 4,066,078 2,033,039 6,099,118 3,049,559 9,148,678 4,574,339 13,723,018 6,861,509 20,584,528 10,292,264 5,146,132 2,573,066 1,286,533 3,859,600 1,929,800 964,900 482,450 241,225 723,676 361,838 180,919 542,758 271,379 814,138 407,069 1,221,208 610,604 305,302 152,651 457,954 228,977 686,932

More profiles

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