λ
Integer Codex

6,096,468

22 × 3 × 7 × 72577
Abundant Even Composite

For 6,096,468, the 24 positive divisors have a total of 16,257,472. Removing 6,096,468 leaves 10,161,004, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^2 × 3 × 7 × 72577
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 16,257,472
Proper Divisor Sum 10,161,004
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #6096457 ← → #6096469

Radix Representation

Decimal 6096468
Binary 10111010000011001010100 (23 bits)
Octal 0o27203124
Hexadecimal 0x5D0654

Divisor Catalog (24)

1 2 3 4 6 7 12 14 21 28 42 84 72,577 145,154 217,731 290,308 435,462 508,039 870,924 1,016,078 1,524,117 2,032,156 3,048,234 6,096,468

Collatz Trajectory (82 steps to reach 1)

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

6,096,468 3,048,234 1,524,117 4,572,352 2,286,176 1,143,088 571,544 285,772 142,886 71,443 214,330 107,165 321,496 160,748 80,374 40,187 120,562 60,281 180,844 90,422 45,211 135,634 67,817 203,452 101,726 50,863 152,590 76,295 228,886 114,443 343,330 171,665 514,996 257,498 128,749 386,248 193,124 96,562 48,281 144,844 72,422 36,211 108,634 54,317 162,952 81,476 40,738 20,369 61,108 30,554 15,277 45,832 22,916 11,458 5,729 17,188 8,594 4,297 12,892 6,446

More profiles

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