λ
Sequence Observatory

1,515,637

71 × 21347
Deficient Odd Composite

Starting at 1,515,637, the Collatz iteration reaches 1 after 217 steps. The first transition is 4546912; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 71 × 21347
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 1,537,056
Proper Divisor Sum 21,419
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #1515623 ← → #1515643

Radix Representation

Decimal 1515637
Binary 101110010000001110101 (21 bits)
Octal 0o5620165
Hexadecimal 0x172075

Divisor Catalog (4)

1 71 21,347 1,515,637

Collatz Trajectory (217 steps to reach 1)

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

1,515,637 4,546,912 2,273,456 1,136,728 568,364 284,182 142,091 426,274 213,137 639,412 319,706 159,853 479,560 239,780 119,890 59,945 179,836 89,918 44,959 134,878 67,439 202,318 101,159 303,478 151,739 455,218 227,609 682,828 341,414 170,707 512,122 256,061 768,184 384,092 192,046 96,023 288,070 144,035 432,106 216,053 648,160 324,080 162,040 81,020 40,510 20,255 60,766 30,383 91,150 45,575 136,726 68,363 205,090 102,545 307,636 153,818 76,909 230,728 115,364 57,682

More profiles

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