λ
Prime Ledger

4,137,857

4137857
Deficient Odd Prime

4,137,857 has the prime decomposition 4137857. Its 1 distinct prime factor produce 2 positive divisors.

Prime Factor Structure

Factorization String 4137857
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 4,137,858
Proper Divisor Sum 1
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #4137829 ← → #4137863

Radix Representation

Decimal 4137857
Binary 1111110010001110000001 (22 bits)
Octal 0o17621601
Hexadecimal 0x3F2381

Divisor Catalog (2)

Collatz Trajectory (136 steps to reach 1)

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

4,137,857 12,413,572 6,206,786 3,103,393 9,310,180 4,655,090 2,327,545 6,982,636 3,491,318 1,745,659 5,236,978 2,618,489 7,855,468 3,927,734 1,963,867 5,891,602 2,945,801 8,837,404 4,418,702 2,209,351 6,628,054 3,314,027 9,942,082 4,971,041 14,913,124 7,456,562 3,728,281 11,184,844 5,592,422 2,796,211 8,388,634 4,194,317 12,582,952 6,291,476 3,145,738 1,572,869 4,718,608 2,359,304 1,179,652 589,826 294,913 884,740 442,370 221,185 663,556 331,778 165,889 497,668 248,834 124,417 373,252 186,626 93,313 279,940 139,970 69,985 209,956 104,978 52,489 157,468

More profiles

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