λ
Sequence Observatory

4,207,867

4207867
Deficient Odd Prime

Starting at 4,207,867, the Collatz iteration reaches 1 after 167 steps. The first transition is 12623602; the starting value is odd with 2 positive divisors.

Prime Factor Structure

Factorization String 4207867
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 4,207,868
Proper Divisor Sum 1
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #4207843 ← → #4207877

Radix Representation

Decimal 4207867
Binary 10000000011010011111011 (23 bits)
Octal 0o20032373
Hexadecimal 0x4034FB

Divisor Catalog (2)

Collatz Trajectory (167 steps to reach 1)

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

4,207,867 12,623,602 6,311,801 18,935,404 9,467,702 4,733,851 14,201,554 7,100,777 21,302,332 10,651,166 5,325,583 15,976,750 7,988,375 23,965,126 11,982,563 35,947,690 17,973,845 53,921,536 26,960,768 13,480,384 6,740,192 3,370,096 1,685,048 842,524 421,262 210,631 631,894 315,947 947,842 473,921 1,421,764 710,882 355,441 1,066,324 533,162 266,581 799,744 399,872 199,936 99,968 49,984 24,992 12,496 6,248 3,124 1,562 781 2,344 1,172 586 293 880 440 220 110 55 166 83 250 125

More profiles

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