λ
Harmonic Matrix

4,015,300

22 × 52 × 40153
Abundant Even Composite

4,015,300 has digital root 4. The neighboring primes are 4015283 and 4015303; its proper-divisor sum differs from the starting integer by 682,818.

Prime Factor Structure

Factorization String 2^2 × 5^2 × 40153
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 18
Divisor Sum (σ) 8,713,418
Proper Divisor Sum 4,698,118
Digit Sum / Digital Root 13 (Root: 4)
Adjacent Primes #4015283 ← → #4015303

Radix Representation

Decimal 4015300
Binary 1111010100010011000100 (22 bits)
Octal 0o17242304
Hexadecimal 0x3D44C4

Divisor Catalog (18)

1 2 4 5 10 20 25 50 100 40,153 80,306 160,612 200,765 401,530 803,060 1,003,825 2,007,650 4,015,300

Collatz Trajectory (198 steps to reach 1)

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

4,015,300 2,007,650 1,003,825 3,011,476 1,505,738 752,869 2,258,608 1,129,304 564,652 282,326 141,163 423,490 211,745 635,236 317,618 158,809 476,428 238,214 119,107 357,322 178,661 535,984 267,992 133,996 66,998 33,499 100,498 50,249 150,748 75,374 37,687 113,062 56,531 169,594 84,797 254,392 127,196 63,598 31,799 95,398 47,699 143,098 71,549 214,648 107,324 53,662 26,831 80,494 40,247 120,742 60,371 181,114 90,557 271,672 135,836 67,918 33,959 101,878 50,939 152,818

More profiles

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