λ
Sequence Observatory

5,171,283

35 × 13 × 1637
Deficient Odd Composite

Starting at 5,171,283, the Collatz iteration reaches 1 after 325 steps. The first transition is 15513850; the starting value is odd with 24 positive divisors.

Prime Factor Structure

Factorization String 3^5 × 13 × 1637
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 8,347,248
Proper Divisor Sum 3,175,965
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #5171279 ← → #5171293

Radix Representation

Decimal 5171283
Binary 10011101110100001010011 (23 bits)
Octal 0o23564123
Hexadecimal 0x4EE853

Divisor Catalog (24)

1 3 9 13 27 39 81 117 243 351 1,053 1,637 3,159 4,911 14,733 21,281 44,199 63,843 132,597 191,529 397,791 574,587 1,723,761 5,171,283

Collatz Trajectory (325 steps to reach 1)

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

5,171,283 15,513,850 7,756,925 23,270,776 11,635,388 5,817,694 2,908,847 8,726,542 4,363,271 13,089,814 6,544,907 19,634,722 9,817,361 29,452,084 14,726,042 7,363,021 22,089,064 11,044,532 5,522,266 2,761,133 8,283,400 4,141,700 2,070,850 1,035,425 3,106,276 1,553,138 776,569 2,329,708 1,164,854 582,427 1,747,282 873,641 2,620,924 1,310,462 655,231 1,965,694 982,847 2,948,542 1,474,271 4,422,814 2,211,407 6,634,222 3,317,111 9,951,334 4,975,667 14,927,002 7,463,501 22,390,504 11,195,252 5,597,626 2,798,813 8,396,440 4,198,220 2,099,110 1,049,555 3,148,666 1,574,333 4,723,000 2,361,500 1,180,750

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