λ
Harmonic Matrix

3,096,128

26 × 7 × 6911
Abundant Even Composite

3,096,128 has digital root 2. The neighboring primes are 3096109 and 3096151; its proper-divisor sum differs from the starting integer by 830,336.

Prime Factor Structure

Factorization String 2^6 × 7 × 6911
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 7,022,592
Proper Divisor Sum 3,926,464
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #3096109 ← → #3096151

Radix Representation

Decimal 3096128
Binary 1011110011111001000000 (22 bits)
Octal 0o13637100
Hexadecimal 0x2F3E40

Divisor Catalog (28)

1 2 4 7 8 14 16 28 32 56 64 112 224 448 6,911 13,822 27,644 48,377 55,288 96,754 110,576 193,508 221,152 387,016 442,304 774,032 1,548,064 3,096,128

Collatz Trajectory (102 steps to reach 1)

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

3,096,128 1,548,064 774,032 387,016 193,508 96,754 48,377 145,132 72,566 36,283 108,850 54,425 163,276 81,638 40,819 122,458 61,229 183,688 91,844 45,922 22,961 68,884 34,442 17,221 51,664 25,832 12,916 6,458 3,229 9,688 4,844 2,422 1,211 3,634 1,817 5,452 2,726 1,363 4,090 2,045 6,136 3,068 1,534 767 2,302 1,151 3,454 1,727 5,182 2,591 7,774 3,887 11,662 5,831 17,494 8,747 26,242 13,121 39,364 19,682

More profiles

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