λ
Harmonic Matrix

4,115,491

739 × 5569
Deficient Odd Composite

4,115,491 has digital root 7. The neighboring primes are 4115471 and 4115509; its proper-divisor sum differs from the starting integer by -4,109,182.

Prime Factor Structure

Factorization String 739 × 5569
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 4,121,800
Proper Divisor Sum 6,309
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #4115471 ← → #4115509

Radix Representation

Decimal 4115491
Binary 1111101100110000100011 (22 bits)
Octal 0o17546043
Hexadecimal 0x3ECC23

Divisor Catalog (4)

1 739 5,569 4,115,491

Collatz Trajectory (198 steps to reach 1)

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

4,115,491 12,346,474 6,173,237 18,519,712 9,259,856 4,629,928 2,314,964 1,157,482 578,741 1,736,224 868,112 434,056 217,028 108,514 54,257 162,772 81,386 40,693 122,080 61,040 30,520 15,260 7,630 3,815 11,446 5,723 17,170 8,585 25,756 12,878 6,439 19,318 9,659 28,978 14,489 43,468 21,734 10,867 32,602 16,301 48,904 24,452 12,226 6,113 18,340 9,170 4,585 13,756 6,878 3,439 10,318 5,159 15,478 7,739 23,218 11,609 34,828 17,414 8,707 26,122

More profiles

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