λ
Harmonic Matrix

5,462,492

22 × 7 × 195089
Abundant Even Composite

5,462,492 has digital root 5. The neighboring primes are 5462473 and 5462497; its proper-divisor sum differs from the starting integer by 56.

Prime Factor Structure

Factorization String 2^2 × 7 × 195089
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 10,925,040
Proper Divisor Sum 5,462,548
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #5462473 ← → #5462497

Radix Representation

Decimal 5462492
Binary 10100110101100111011100 (23 bits)
Octal 0o24654734
Hexadecimal 0x5359DC

Divisor Catalog (12)

1 2 4 7 14 28 195,089 390,178 780,356 1,365,623 2,731,246 5,462,492

Collatz Trajectory (113 steps to reach 1)

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

5,462,492 2,731,246 1,365,623 4,096,870 2,048,435 6,145,306 3,072,653 9,217,960 4,608,980 2,304,490 1,152,245 3,456,736 1,728,368 864,184 432,092 216,046 108,023 324,070 162,035 486,106 243,053 729,160 364,580 182,290 91,145 273,436 136,718 68,359 205,078 102,539 307,618 153,809 461,428 230,714 115,357 346,072 173,036 86,518 43,259 129,778 64,889 194,668 97,334 48,667 146,002 73,001 219,004 109,502 54,751 164,254 82,127 246,382 123,191 369,574 184,787 554,362 277,181 831,544 415,772 207,886

More profiles

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