λ
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Atlas › Integer Profiles › Node 1,778,048

1,778,048

27 × 29 × 479
Abundant Even Composite

1,778,048 factors as 2^7 × 29 × 479. Its 32 positive divisors give a proper-divisor sum of 1,893,952, so this integer is abundant. The Collatz stopping time is 52 steps.

Prime Factor Structure

Factorization String 2^7 × 29 × 479
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 3,672,000
Proper Divisor Sum 1,893,952
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #1778041 ← → #1778059

Radix Representation

Decimal 1778048
Binary 110110010000110000000 (21 bits)
Octal 0o6620600
Hexadecimal 0x1B2180

Divisor Catalog (32)

1 2 4 8 16 29 32 58 64 116 128 232 464 479 928 958 1,856 1,916 3,712 3,832 7,664 13,891 15,328 27,782 30,656 55,564 61,312 111,128 222,256 444,512 889,024 1,778,048

Collatz Trajectory (52 steps to reach 1)

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

1,778,048 889,024 444,512 222,256 111,128 55,564 27,782 13,891 41,674 20,837 62,512 31,256 15,628 7,814 3,907 11,722 5,861 17,584 8,792 4,396 2,198 1,099 3,298 1,649 4,948 2,474 1,237 3,712 1,856 928 464 232 116 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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