λ
Harmonic Matrix

4,248,411

3 × 1416137
Deficient Odd Composite

4,248,411 has digital root 6. The neighboring primes are 4248401 and 4248421; its proper-divisor sum differs from the starting integer by -2,832,270.

Prime Factor Structure

Factorization String 3 × 1416137
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 5,664,552
Proper Divisor Sum 1,416,141
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #4248401 ← → #4248421

Radix Representation

Decimal 4248411
Binary 10000001101001101011011 (23 bits)
Octal 0o20151533
Hexadecimal 0x40D35B

Divisor Catalog (4)

1 3 1,416,137 4,248,411

Collatz Trajectory (105 steps to reach 1)

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

4,248,411 12,745,234 6,372,617 19,117,852 9,558,926 4,779,463 14,338,390 7,169,195 21,507,586 10,753,793 32,261,380 16,130,690 8,065,345 24,196,036 12,098,018 6,049,009 18,147,028 9,073,514 4,536,757 13,610,272 6,805,136 3,402,568 1,701,284 850,642 425,321 1,275,964 637,982 318,991 956,974 478,487 1,435,462 717,731 2,153,194 1,076,597 3,229,792 1,614,896 807,448 403,724 201,862 100,931 302,794 151,397 454,192 227,096 113,548 56,774 28,387 85,162 42,581 127,744 63,872 31,936 15,968 7,984 3,992 1,996 998 499 1,498 749

More profiles

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