λ
Sequence Observatory

5,026,956

22 × 3 × 11 × 38083
Abundant Even Composite

Starting at 5,026,956, the Collatz iteration reaches 1 after 206 steps. The first transition is 2513478; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 11 × 38083
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 12,796,224
Proper Divisor Sum 7,769,268
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #5026937 ← → #5026961

Radix Representation

Decimal 5026956
Binary 10011001011010010001100 (23 bits)
Octal 0o23132214
Hexadecimal 0x4CB48C

Divisor Catalog (24)

1 2 3 4 6 11 12 22 33 44 66 132 38,083 76,166 114,249 152,332 228,498 418,913 456,996 837,826 1,256,739 1,675,652 2,513,478 5,026,956

Collatz Trajectory (206 steps to reach 1)

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

5,026,956 2,513,478 1,256,739 3,770,218 1,885,109 5,655,328 2,827,664 1,413,832 706,916 353,458 176,729 530,188 265,094 132,547 397,642 198,821 596,464 298,232 149,116 74,558 37,279 111,838 55,919 167,758 83,879 251,638 125,819 377,458 188,729 566,188 283,094 141,547 424,642 212,321 636,964 318,482 159,241 477,724 238,862 119,431 358,294 179,147 537,442 268,721 806,164 403,082 201,541 604,624 302,312 151,156 75,578 37,789 113,368 56,684 28,342 14,171 42,514 21,257 63,772 31,886

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