3,580,638

2 × 3 × 37 × 127²

3,580,638 factors as 2 × 3 × 37 × 127^2. Its 24 positive divisors give a proper-divisor sum of 3,832,554, so this integer is abundant. The Collatz stopping time is 97 steps.

Prime Factor Structure

Factorization String 2 × 3 × 37 × 127^2

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 7,413,192

Proper Divisor Sum 3,832,554

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #3580613 ← → #3580649

Radix Representation

Decimal	3580638
Binary	1101101010001011011110 (22 bits)
Octal	0o15521336
Hexadecimal	0x36A2DE

Divisor Catalog (24)

1 2 3 6 37 74 111 127 222 254 381 762 4,699 9,398 14,097 16,129 28,194 32,258 48,387 96,774 596,773 1,193,546 1,790,319 3,580,638

Collatz Trajectory (97 steps to reach 1)

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

3,580,638 1,790,319 5,370,958 2,685,479 8,056,438 4,028,219 12,084,658 6,042,329 18,126,988 9,063,494 4,531,747 13,595,242 6,797,621 20,392,864 10,196,432 5,098,216 2,549,108 1,274,554 637,277 1,911,832 955,916 477,958 238,979 716,938 358,469 1,075,408 537,704 268,852 134,426 67,213 201,640 100,820 50,410 25,205 75,616 37,808 18,904 9,452 4,726 2,363 7,090 3,545 10,636 5,318 2,659 7,978 3,989 11,968 5,984 2,992 1,496 748 374 187 562 281 844 422 211 634

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