λ
Prime Ledger

3,581,576

23 × 19 × 23563
Deficient Even Composite

3,581,576 has the prime decomposition 2^3 × 19 × 23563. Its 3 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 19 × 23563
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 7,069,200
Proper Divisor Sum 3,487,624
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #3581551 ← → #3581579

Radix Representation

Decimal 3581576
Binary 1101101010011010001000 (22 bits)
Octal 0o15523210
Hexadecimal 0x36A688

Divisor Catalog (16)

1 2 4 8 19 38 76 152 23,563 47,126 94,252 188,504 447,697 895,394 1,790,788 3,581,576

Collatz Trajectory (66 steps to reach 1)

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

3,581,576 1,790,788 895,394 447,697 1,343,092 671,546 335,773 1,007,320 503,660 251,830 125,915 377,746 188,873 566,620 283,310 141,655 424,966 212,483 637,450 318,725 956,176 478,088 239,044 119,522 59,761 179,284 89,642 44,821 134,464 67,232 33,616 16,808 8,404 4,202 2,101 6,304 3,152 1,576 788 394 197 592 296 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13 40 20

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