λ
Harmonic Matrix

1,185,378

2 × 3 × 31 × 6373
Abundant Even Composite

1,185,378 has digital root 6. The neighboring primes are 1185377 and 1185383; its proper-divisor sum differs from the starting integer by 76,860.

Prime Factor Structure

Factorization String 2 × 3 × 31 × 6373
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 2,447,616
Proper Divisor Sum 1,262,238
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #1185377 ← → #1185383

Radix Representation

Decimal 1185378
Binary 100100001011001100010 (21 bits)
Octal 0o4413142
Hexadecimal 0x121662

Divisor Catalog (16)

1 2 3 6 31 62 93 186 6,373 12,746 19,119 38,238 197,563 395,126 592,689 1,185,378

Collatz Trajectory (147 steps to reach 1)

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

1,185,378 592,689 1,778,068 889,034 444,517 1,333,552 666,776 333,388 166,694 83,347 250,042 125,021 375,064 187,532 93,766 46,883 140,650 70,325 210,976 105,488 52,744 26,372 13,186 6,593 19,780 9,890 4,945 14,836 7,418 3,709 11,128 5,564 2,782 1,391 4,174 2,087 6,262 3,131 9,394 4,697 14,092 7,046 3,523 10,570 5,285 15,856 7,928 3,964 1,982 991 2,974 1,487 4,462 2,231 6,694 3,347 10,042 5,021 15,064 7,532

More profiles

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