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Atlas › Integer Profiles › Node 3,955,545

3,955,545

32 × 5 × 11 × 61 × 131
Deficient Odd Composite

3,955,545 factors as 3^2 × 5 × 11 × 61 × 131. Its 48 positive divisors give a proper-divisor sum of 3,704,679, so this integer is deficient. The Collatz stopping time is 92 steps.

Prime Factor Structure

Factorization String 3^2 × 5 × 11 × 61 × 131
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 7,660,224
Proper Divisor Sum 3,704,679
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #3955529 ← → #3955561

Radix Representation

Decimal 3955545
Binary 1111000101101101011001 (22 bits)
Octal 0o17055531
Hexadecimal 0x3C5B59

Divisor Catalog (48)

1 3 5 9 11 15 33 45 55 61 99 131 165 183 305 393 495 549 655 671 915 1,179 1,441 1,965 2,013 2,745 3,355 4,323 5,895 6,039 7,205 7,991 10,065 12,969 21,615 23,973 30,195 39,955 64,845 71,919 87,901 119,865 263,703 359,595 439,505 791,109 1,318,515 3,955,545

Collatz Trajectory (92 steps to reach 1)

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

3,955,545 11,866,636 5,933,318 2,966,659 8,899,978 4,449,989 13,349,968 6,674,984 3,337,492 1,668,746 834,373 2,503,120 1,251,560 625,780 312,890 156,445 469,336 234,668 117,334 58,667 176,002 88,001 264,004 132,002 66,001 198,004 99,002 49,501 148,504 74,252 37,126 18,563 55,690 27,845 83,536 41,768 20,884 10,442 5,221 15,664 7,832 3,916 1,958 979 2,938 1,469 4,408 2,204 1,102 551 1,654 827 2,482 1,241 3,724 1,862 931 2,794 1,397 4,192

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