λ
Harmonic Matrix

4,285,726

2 × 641 × 3343
Deficient Even Composite

4,285,726 has digital root 7. The neighboring primes are 4285693 and 4285753; its proper-divisor sum differs from the starting integer by -2,130,908.

Prime Factor Structure

Factorization String 2 × 641 × 3343
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 6,440,544
Proper Divisor Sum 2,154,818
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #4285693 ← → #4285753

Radix Representation

Decimal 4285726
Binary 10000010110010100011110 (23 bits)
Octal 0o20262436
Hexadecimal 0x41651E

Divisor Catalog (8)

1 2 641 1,282 3,343 6,686 2,142,863 4,285,726

Collatz Trajectory (123 steps to reach 1)

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

4,285,726 2,142,863 6,428,590 3,214,295 9,642,886 4,821,443 14,464,330 7,232,165 21,696,496 10,848,248 5,424,124 2,712,062 1,356,031 4,068,094 2,034,047 6,102,142 3,051,071 9,153,214 4,576,607 13,729,822 6,864,911 20,594,734 10,297,367 30,892,102 15,446,051 46,338,154 23,169,077 69,507,232 34,753,616 17,376,808 8,688,404 4,344,202 2,172,101 6,516,304 3,258,152 1,629,076 814,538 407,269 1,221,808 610,904 305,452 152,726 76,363 229,090 114,545 343,636 171,818 85,909 257,728 128,864 64,432 32,216 16,108 8,054 4,027 12,082 6,041 18,124 9,062 4,531

More profiles

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