λ
Harmonic Matrix

4,000,582

2 × 2000291
Deficient Even Composite

4,000,582 has digital root 1. The neighboring primes are 4000573 and 4000589; its proper-divisor sum differs from the starting integer by -2,000,288.

Prime Factor Structure

Factorization String 2 × 2000291
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 6,000,876
Proper Divisor Sum 2,000,294
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #4000573 ← → #4000589

Radix Representation

Decimal 4000582
Binary 1111010000101101000110 (22 bits)
Octal 0o17205506
Hexadecimal 0x3D0B46

Divisor Catalog (4)

1 2 2,000,291 4,000,582

Collatz Trajectory (141 steps to reach 1)

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

4,000,582 2,000,291 6,000,874 3,000,437 9,001,312 4,500,656 2,250,328 1,125,164 562,582 281,291 843,874 421,937 1,265,812 632,906 316,453 949,360 474,680 237,340 118,670 59,335 178,006 89,003 267,010 133,505 400,516 200,258 100,129 300,388 150,194 75,097 225,292 112,646 56,323 168,970 84,485 253,456 126,728 63,364 31,682 15,841 47,524 23,762 11,881 35,644 17,822 8,911 26,734 13,367 40,102 20,051 60,154 30,077 90,232 45,116 22,558 11,279 33,838 16,919 50,758 25,379

More profiles

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