λ
Sequence Observatory

4,139,044

22 × 7 × 13 × 83 × 137
Abundant Even Composite

Starting at 4,139,044, the Collatz iteration reaches 1 after 79 steps. The first transition is 2069522; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 7 × 13 × 83 × 137
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 9,088,128
Proper Divisor Sum 4,949,084
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #4139029 ← → #4139063

Radix Representation

Decimal 4139044
Binary 1111110010100000100100 (22 bits)
Octal 0o17624044
Hexadecimal 0x3F2824

Divisor Catalog (48)

1 2 4 7 13 14 26 28 52 83 91 137 166 182 274 332 364 548 581 959 1,079 1,162 1,781 1,918 2,158 2,324 3,562 3,836 4,316 7,124 7,553 11,371 12,467 15,106 22,742 24,934 30,212 45,484 49,868 79,597 147,823 159,194 295,646 318,388 591,292 1,034,761 2,069,522 4,139,044

Collatz Trajectory (79 steps to reach 1)

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

4,139,044 2,069,522 1,034,761 3,104,284 1,552,142 776,071 2,328,214 1,164,107 3,492,322 1,746,161 5,238,484 2,619,242 1,309,621 3,928,864 1,964,432 982,216 491,108 245,554 122,777 368,332 184,166 92,083 276,250 138,125 414,376 207,188 103,594 51,797 155,392 77,696 38,848 19,424 9,712 4,856 2,428 1,214 607 1,822 911 2,734 1,367 4,102 2,051 6,154 3,077 9,232 4,616 2,308 1,154 577 1,732 866 433 1,300 650 325 976 488 244 122

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