λ
Harmonic Matrix

7,412,178

2 × 3 × 1235363
Abundant Even Composite

7,412,178 has digital root 3. The neighboring primes are 7412177 and 7412179; its proper-divisor sum differs from the starting integer by 12.

Prime Factor Structure

Factorization String 2 × 3 × 1235363
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 14,824,368
Proper Divisor Sum 7,412,190
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #7412177 ← → #7412179

Radix Representation

Decimal 7412178
Binary 11100010001100111010010 (23 bits)
Octal 0o34214722
Hexadecimal 0x7119D2

Divisor Catalog (8)

1 2 3 6 1,235,363 2,470,726 3,706,089 7,412,178

Collatz Trajectory (204 steps to reach 1)

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

7,412,178 3,706,089 11,118,268 5,559,134 2,779,567 8,338,702 4,169,351 12,508,054 6,254,027 18,762,082 9,381,041 28,143,124 14,071,562 7,035,781 21,107,344 10,553,672 5,276,836 2,638,418 1,319,209 3,957,628 1,978,814 989,407 2,968,222 1,484,111 4,452,334 2,226,167 6,678,502 3,339,251 10,017,754 5,008,877 15,026,632 7,513,316 3,756,658 1,878,329 5,634,988 2,817,494 1,408,747 4,226,242 2,113,121 6,339,364 3,169,682 1,584,841 4,754,524 2,377,262 1,188,631 3,565,894 1,782,947 5,348,842 2,674,421 8,023,264 4,011,632 2,005,816 1,002,908 501,454 250,727 752,182 376,091 1,128,274 564,137 1,692,412

More profiles

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