λ
Harmonic Matrix

7,127,256

23 × 3 × 296969
Abundant Even Composite

7,127,256 has digital root 3. The neighboring primes are 7127251 and 7127257; its proper-divisor sum differs from the starting integer by 3,563,688.

Prime Factor Structure

Factorization String 2^3 × 3 × 296969
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 17,818,200
Proper Divisor Sum 10,690,944
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #7127251 ← → #7127257

Radix Representation

Decimal 7127256
Binary 11011001100000011011000 (23 bits)
Octal 0o33140330
Hexadecimal 0x6CC0D8

Divisor Catalog (16)

1 2 3 4 6 8 12 24 296,969 593,938 890,907 1,187,876 1,781,814 2,375,752 3,563,628 7,127,256

Collatz Trajectory (98 steps to reach 1)

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

7,127,256 3,563,628 1,781,814 890,907 2,672,722 1,336,361 4,009,084 2,004,542 1,002,271 3,006,814 1,503,407 4,510,222 2,255,111 6,765,334 3,382,667 10,148,002 5,074,001 15,222,004 7,611,002 3,805,501 11,416,504 5,708,252 2,854,126 1,427,063 4,281,190 2,140,595 6,421,786 3,210,893 9,632,680 4,816,340 2,408,170 1,204,085 3,612,256 1,806,128 903,064 451,532 225,766 112,883 338,650 169,325 507,976 253,988 126,994 63,497 190,492 95,246 47,623 142,870 71,435 214,306 107,153 321,460 160,730 80,365 241,096 120,548 60,274 30,137 90,412 45,206

More profiles

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