λ
Sequence Observatory

1,551,623

1551623
Deficient Odd Prime

Starting at 1,551,623, the Collatz iteration reaches 1 after 163 steps. The first transition is 4654870; the starting value is odd with 2 positive divisors.

Prime Factor Structure

Factorization String 1551623
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 1,551,624
Proper Divisor Sum 1
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #1551619 ← → #1551647

Radix Representation

Decimal 1551623
Binary 101111010110100000111 (21 bits)
Octal 0o5726407
Hexadecimal 0x17AD07

Divisor Catalog (2)

Collatz Trajectory (163 steps to reach 1)

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

1,551,623 4,654,870 2,327,435 6,982,306 3,491,153 10,473,460 5,236,730 2,618,365 7,855,096 3,927,548 1,963,774 981,887 2,945,662 1,472,831 4,418,494 2,209,247 6,627,742 3,313,871 9,941,614 4,970,807 14,912,422 7,456,211 22,368,634 11,184,317 33,552,952 16,776,476 8,388,238 4,194,119 12,582,358 6,291,179 18,873,538 9,436,769 28,310,308 14,155,154 7,077,577 21,232,732 10,616,366 5,308,183 15,924,550 7,962,275 23,886,826 11,943,413 35,830,240 17,915,120 8,957,560 4,478,780 2,239,390 1,119,695 3,359,086 1,679,543 5,038,630 2,519,315 7,557,946 3,778,973 11,336,920 5,668,460 2,834,230 1,417,115 4,251,346 2,125,673

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