λ
Harmonic Matrix

3,341,532

22 × 3 × 23 × 12107
Abundant Even Composite

3,341,532 has digital root 3. The neighboring primes are 3341531 and 3341539; its proper-divisor sum differs from the starting integer by 1,453,512.

Prime Factor Structure

Factorization String 2^2 × 3 × 23 × 12107
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 8,136,576
Proper Divisor Sum 4,795,044
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #3341531 ← → #3341539

Radix Representation

Decimal 3341532
Binary 1100101111110011011100 (22 bits)
Octal 0o14576334
Hexadecimal 0x32FCDC

Divisor Catalog (24)

1 2 3 4 6 12 23 46 69 92 138 276 12,107 24,214 36,321 48,428 72,642 145,284 278,461 556,922 835,383 1,113,844 1,670,766 3,341,532

Collatz Trajectory (84 steps to reach 1)

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

3,341,532 1,670,766 835,383 2,506,150 1,253,075 3,759,226 1,879,613 5,638,840 2,819,420 1,409,710 704,855 2,114,566 1,057,283 3,171,850 1,585,925 4,757,776 2,378,888 1,189,444 594,722 297,361 892,084 446,042 223,021 669,064 334,532 167,266 83,633 250,900 125,450 62,725 188,176 94,088 47,044 23,522 11,761 35,284 17,642 8,821 26,464 13,232 6,616 3,308 1,654 827 2,482 1,241 3,724 1,862 931 2,794 1,397 4,192 2,096 1,048 524 262 131 394 197 592

More profiles

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