λ
Sequence Observatory
Atlas › Integer Profiles › Node 1,778,088

1,778,088

23 × 3 × 13 × 41 × 139
Abundant Even Composite

Starting at 1,778,088, the Collatz iteration reaches 1 after 52 steps. The first transition is 889044; the starting value is even with 64 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3 × 13 × 41 × 139
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 4,939,200
Proper Divisor Sum 3,161,112
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #1778071 ← → #1778099

Radix Representation

Decimal 1778088
Binary 110110010000110101000 (21 bits)
Octal 0o6620650
Hexadecimal 0x1B21A8

Divisor Catalog (60 of 64)

1 2 3 4 6 8 12 13 24 26 39 41 52 78 82 104 123 139 156 164 246 278 312 328 417 492 533 556 834 984 1,066 1,112 1,599 1,668 1,807 2,132 3,198 3,336 3,614 4,264 5,421 5,699 6,396 7,228 10,842 11,398 12,792 14,456 17,097 21,684 22,796 34,194 43,368 45,592 68,388 74,087 136,776 148,174 222,261 296,348

Collatz Trajectory (52 steps to reach 1)

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

1,778,088 889,044 444,522 222,261 666,784 333,392 166,696 83,348 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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