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Sequence Observatory
Atlas › Integer Profiles › Node 1,616,608

1,616,608

25 × 72 × 1031
Abundant Even Composite

Starting at 1,616,608, the Collatz iteration reaches 1 after 70 steps. The first transition is 808304; the starting value is even with 36 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 7^2 × 1031
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 3,705,912
Proper Divisor Sum 2,089,304
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #1616603 ← → #1616609

Radix Representation

Decimal 1616608
Binary 110001010101011100000 (21 bits)
Octal 0o6125340
Hexadecimal 0x18AAE0

Divisor Catalog (36)

1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 392 784 1,031 1,568 2,062 4,124 7,217 8,248 14,434 16,496 28,868 32,992 50,519 57,736 101,038 115,472 202,076 230,944 404,152 808,304 1,616,608

Collatz Trajectory (70 steps to reach 1)

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

1,616,608 808,304 404,152 202,076 101,038 50,519 151,558 75,779 227,338 113,669 341,008 170,504 85,252 42,626 21,313 63,940 31,970 15,985 47,956 23,978 11,989 35,968 17,984 8,992 4,496 2,248 1,124 562 281 844 422 211 634 317 952 476 238 119 358 179 538 269 808 404 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17 52

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