4,010,400

2⁵ × 3² × 5² × 557

4,010,400 has digital root 9. The neighboring primes are 4010399 and 4010423; its proper-divisor sum differs from the starting integer by 6,146,262.

Prime Factor Structure

Factorization String 2^5 × 3^2 × 5^2 × 557

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 108

Divisor Sum (σ) 14,167,062

Proper Divisor Sum 10,156,662

Digit Sum / Digital Root 9 (Root: 9)

Adjacent Primes #4010399 ← → #4010423

Radix Representation

Decimal	4010400
Binary	1111010011000110100000 (22 bits)
Octal	0o17230640
Hexadecimal	0x3D31A0

Divisor Catalog (60 of 108)

1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 60 72 75 80 90 96 100 120 144 150 160 180 200 225 240 288 300 360 400 450 480 557 600 720 800 900 1,114 1,200 1,440 1,671 1,800 2,228 2,400 2,785 3,342 3,600 4,456

Collatz Trajectory (66 steps to reach 1)

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

4,010,400 2,005,200 1,002,600 501,300 250,650 125,325 375,976 187,988 93,994 46,997 140,992 70,496 35,248 17,624 8,812 4,406 2,203 6,610 3,305 9,916 4,958 2,479 7,438 3,719 11,158 5,579 16,738 8,369 25,108 12,554 6,277 18,832 9,416 4,708 2,354 1,177 3,532 1,766 883 2,650 1,325 3,976 1,988 994 497 1,492 746 373 1,120 560 280 140 70 35 106 53 160 80 40 20

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