λ
Sequence Observatory

5,006,461

97 × 51613
Deficient Odd Composite

Starting at 5,006,461, the Collatz iteration reaches 1 after 206 steps. The first transition is 15019384; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 97 × 51613
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 5,058,172
Proper Divisor Sum 51,711
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #5006459 ← → #5006489

Radix Representation

Decimal 5006461
Binary 10011000110010001111101 (23 bits)
Octal 0o23062175
Hexadecimal 0x4C647D

Divisor Catalog (4)

1 97 51,613 5,006,461

Collatz Trajectory (206 steps to reach 1)

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

5,006,461 15,019,384 7,509,692 3,754,846 1,877,423 5,632,270 2,816,135 8,448,406 4,224,203 12,672,610 6,336,305 19,008,916 9,504,458 4,752,229 14,256,688 7,128,344 3,564,172 1,782,086 891,043 2,673,130 1,336,565 4,009,696 2,004,848 1,002,424 501,212 250,606 125,303 375,910 187,955 563,866 281,933 845,800 422,900 211,450 105,725 317,176 158,588 79,294 39,647 118,942 59,471 178,414 89,207 267,622 133,811 401,434 200,717 602,152 301,076 150,538 75,269 225,808 112,904 56,452 28,226 14,113 42,340 21,170 10,585 31,756

More profiles

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