λ
Prime Ledger

4,209,406

2 × 2104703
Deficient Even Composite

4,209,406 has the prime decomposition 2 × 2104703. Its 2 distinct prime factors produce 4 positive divisors.

Prime Factor Structure

Factorization String 2 × 2104703
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 6,314,112
Proper Divisor Sum 2,104,706
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #4209389 ← → #4209407

Radix Representation

Decimal 4209406
Binary 10000000011101011111110 (23 bits)
Octal 0o20035376
Hexadecimal 0x403AFE

Divisor Catalog (4)

1 2 2,104,703 4,209,406

Collatz Trajectory (229 steps to reach 1)

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

4,209,406 2,104,703 6,314,110 3,157,055 9,471,166 4,735,583 14,206,750 7,103,375 21,310,126 10,655,063 31,965,190 15,982,595 47,947,786 23,973,893 71,921,680 35,960,840 17,980,420 8,990,210 4,495,105 13,485,316 6,742,658 3,371,329 10,113,988 5,056,994 2,528,497 7,585,492 3,792,746 1,896,373 5,689,120 2,844,560 1,422,280 711,140 355,570 177,785 533,356 266,678 133,339 400,018 200,009 600,028 300,014 150,007 450,022 225,011 675,034 337,517 1,012,552 506,276 253,138 126,569 379,708 189,854 94,927 284,782 142,391 427,174 213,587 640,762 320,381 961,144

More profiles

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