λ
Sequence Observatory

4,209,502

2 × 11 × 191341
Deficient Even Composite

Starting at 4,209,502, the Collatz iteration reaches 1 after 92 steps. The first transition is 2104751; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 11 × 191341
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 6,888,312
Proper Divisor Sum 2,678,810
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #4209497 ← → #4209503

Radix Representation

Decimal 4209502
Binary 10000000011101101011110 (23 bits)
Octal 0o20035536
Hexadecimal 0x403B5E

Divisor Catalog (8)

1 2 11 22 191,341 382,682 2,104,751 4,209,502

Collatz Trajectory (92 steps to reach 1)

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

4,209,502 2,104,751 6,314,254 3,157,127 9,471,382 4,735,691 14,207,074 7,103,537 21,310,612 10,655,306 5,327,653 15,982,960 7,991,480 3,995,740 1,997,870 998,935 2,996,806 1,498,403 4,495,210 2,247,605 6,742,816 3,371,408 1,685,704 842,852 421,426 210,713 632,140 316,070 158,035 474,106 237,053 711,160 355,580 177,790 88,895 266,686 133,343 400,030 200,015 600,046 300,023 900,070 450,035 1,350,106 675,053 2,025,160 1,012,580 506,290 253,145 759,436 379,718 189,859 569,578 284,789 854,368 427,184 213,592 106,796 53,398 26,699

More profiles

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