λ
Sequence Observatory
Atlas › Integer Profiles › Node 1,335,720

1,335,720

23 × 3 × 5 × 11131
Abundant Even Composite

Starting at 1,335,720, the Collatz iteration reaches 1 after 155 steps. The first transition is 667860; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3 × 5 × 11131
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 4,007,520
Proper Divisor Sum 2,671,800
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #1335689 ← → #1335743

Radix Representation

Decimal 1335720
Binary 101000110000110101000 (21 bits)
Octal 0o5060650
Hexadecimal 0x1461A8

Divisor Catalog (32)

1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 11,131 22,262 33,393 44,524 55,655 66,786 89,048 111,310 133,572 166,965 222,620 267,144 333,930 445,240 667,860 1,335,720

Collatz Trajectory (155 steps to reach 1)

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

1,335,720 667,860 333,930 166,965 500,896 250,448 125,224 62,612 31,306 15,653 46,960 23,480 11,740 5,870 2,935 8,806 4,403 13,210 6,605 19,816 9,908 4,954 2,477 7,432 3,716 1,858 929 2,788 1,394 697 2,092 1,046 523 1,570 785 2,356 1,178 589 1,768 884 442 221 664 332 166 83 250 125 376 188 94 47 142 71 214 107 322 161 484 242

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