λ
Sequence Observatory

2,985,489

32 × 13 × 17 × 19 × 79
Deficient Odd Composite

Starting at 2,985,489, the Collatz iteration reaches 1 after 164 steps. The first transition is 8956468; the starting value is odd with 48 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 13 × 17 × 19 × 79
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 5,241,600
Proper Divisor Sum 2,256,111
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #2985467 ← → #2985491

Radix Representation

Decimal 2985489
Binary 1011011000111000010001 (22 bits)
Octal 0o13307021
Hexadecimal 0x2D8E11

Divisor Catalog (48)

1 3 9 13 17 19 39 51 57 79 117 153 171 221 237 247 323 663 711 741 969 1,027 1,343 1,501 1,989 2,223 2,907 3,081 4,029 4,199 4,503 9,243 12,087 12,597 13,509 17,459 19,513 25,517 37,791 52,377 58,539 76,551 157,131 175,617 229,653 331,721 995,163 2,985,489

Collatz Trajectory (164 steps to reach 1)

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

2,985,489 8,956,468 4,478,234 2,239,117 6,717,352 3,358,676 1,679,338 839,669 2,519,008 1,259,504 629,752 314,876 157,438 78,719 236,158 118,079 354,238 177,119 531,358 265,679 797,038 398,519 1,195,558 597,779 1,793,338 896,669 2,690,008 1,345,004 672,502 336,251 1,008,754 504,377 1,513,132 756,566 378,283 1,134,850 567,425 1,702,276 851,138 425,569 1,276,708 638,354 319,177 957,532 478,766 239,383 718,150 359,075 1,077,226 538,613 1,615,840 807,920 403,960 201,980 100,990 50,495 151,486 75,743 227,230 113,615

More profiles

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