λ
Sequence Observatory

4,567,111

1871 × 2441
Deficient Odd Composite

Starting at 4,567,111, the Collatz iteration reaches 1 after 167 steps. The first transition is 13701334; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 1871 × 2441
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 4,571,424
Proper Divisor Sum 4,313
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #4567109 ← → #4567117

Radix Representation

Decimal 4567111
Binary 10001011011000001000111 (23 bits)
Octal 0o21330107
Hexadecimal 0x45B047

Divisor Catalog (4)

1 1,871 2,441 4,567,111

Collatz Trajectory (167 steps to reach 1)

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

4,567,111 13,701,334 6,850,667 20,552,002 10,276,001 30,828,004 15,414,002 7,707,001 23,121,004 11,560,502 5,780,251 17,340,754 8,670,377 26,011,132 13,005,566 6,502,783 19,508,350 9,754,175 29,262,526 14,631,263 43,893,790 21,946,895 65,840,686 32,920,343 98,761,030 49,380,515 148,141,546 74,070,773 222,212,320 111,106,160 55,553,080 27,776,540 13,888,270 6,944,135 20,832,406 10,416,203 31,248,610 15,624,305 46,872,916 23,436,458 11,718,229 35,154,688 17,577,344 8,788,672 4,394,336 2,197,168 1,098,584 549,292 274,646 137,323 411,970 205,985 617,956 308,978 154,489 463,468 231,734 115,867 347,602 173,801

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