λ
Sequence Observatory

3,992,885

5 × 13 × 47 × 1307
Deficient Odd Composite

Starting at 3,992,885, the Collatz iteration reaches 1 after 154 steps. The first transition is 11978656; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 5 × 13 × 47 × 1307
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 5,273,856
Proper Divisor Sum 1,280,971
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #3992873 ← → #3992887

Radix Representation

Decimal 3992885
Binary 1111001110110100110101 (22 bits)
Octal 0o17166465
Hexadecimal 0x3CED35

Divisor Catalog (16)

1 5 13 47 65 235 611 1,307 3,055 6,535 16,991 61,429 84,955 307,145 798,577 3,992,885

Collatz Trajectory (154 steps to reach 1)

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

3,992,885 11,978,656 5,989,328 2,994,664 1,497,332 748,666 374,333 1,123,000 561,500 280,750 140,375 421,126 210,563 631,690 315,845 947,536 473,768 236,884 118,442 59,221 177,664 88,832 44,416 22,208 11,104 5,552 2,776 1,388 694 347 1,042 521 1,564 782 391 1,174 587 1,762 881 2,644 1,322 661 1,984 992 496 248 124 62 31 94 47 142 71 214 107 322 161 484 242 121

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