λ
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Atlas › Integer Profiles › Node 1,607,008

1,607,008

25 × 13 × 3863
Abundant Even Composite

1,607,008 factors as 2^5 × 13 × 3863. Its 24 positive divisors give a proper-divisor sum of 1,801,040, so this integer is abundant. The Collatz stopping time is 145 steps.

Prime Factor Structure

Factorization String 2^5 × 13 × 3863
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 3,408,048
Proper Divisor Sum 1,801,040
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #1607003 ← → #1607029

Radix Representation

Decimal 1607008
Binary 110001000010101100000 (21 bits)
Octal 0o6102540
Hexadecimal 0x188560

Divisor Catalog (24)

1 2 4 8 13 16 26 32 52 104 208 416 3,863 7,726 15,452 30,904 50,219 61,808 100,438 123,616 200,876 401,752 803,504 1,607,008

Collatz Trajectory (145 steps to reach 1)

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

1,607,008 803,504 401,752 200,876 100,438 50,219 150,658 75,329 225,988 112,994 56,497 169,492 84,746 42,373 127,120 63,560 31,780 15,890 7,945 23,836 11,918 5,959 17,878 8,939 26,818 13,409 40,228 20,114 10,057 30,172 15,086 7,543 22,630 11,315 33,946 16,973 50,920 25,460 12,730 6,365 19,096 9,548 4,774 2,387 7,162 3,581 10,744 5,372 2,686 1,343 4,030 2,015 6,046 3,023 9,070 4,535 13,606 6,803 20,410 10,205

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