λ
Modular Archive

2,512,464

24 × 3 × 17 × 3079
Abundant Even Composite

The decimal integer 2,512,464 is 1001100101011001010000 in binary (22 bits), 11453120 in octal and 265650 in hexadecimal. Its digit sum is 24.

Prime Factor Structure

Factorization String 2^4 × 3 × 17 × 3079
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 6,874,560
Proper Divisor Sum 4,362,096
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #2512463 ← → #2512469

Radix Representation

Decimal 2512464
Binary 1001100101011001010000 (22 bits)
Octal 0o11453120
Hexadecimal 0x265650

Divisor Catalog (40)

1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 204 272 408 816 3,079 6,158 9,237 12,316 18,474 24,632 36,948 49,264 52,343 73,896 104,686 147,792 157,029 209,372 314,058 418,744 628,116 837,488 1,256,232 2,512,464

Collatz Trajectory (174 steps to reach 1)

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

2,512,464 1,256,232 628,116 314,058 157,029 471,088 235,544 117,772 58,886 29,443 88,330 44,165 132,496 66,248 33,124 16,562 8,281 24,844 12,422 6,211 18,634 9,317 27,952 13,976 6,988 3,494 1,747 5,242 2,621 7,864 3,932 1,966 983 2,950 1,475 4,426 2,213 6,640 3,320 1,660 830 415 1,246 623 1,870 935 2,806 1,403 4,210 2,105 6,316 3,158 1,579 4,738 2,369 7,108 3,554 1,777 5,332 2,666

More profiles

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