4,139,924

2² × 29 × 89 × 401

Starting at 4,139,924, the Collatz iteration reaches 1 after 198 steps. The first transition is 2069962; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 29 × 89 × 401

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 7,597,800

Proper Divisor Sum 3,457,876

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #4139923 ← → #4139951

Radix Representation

Decimal	4139924
Binary	1111110010101110010100 (22 bits)
Octal	0o17625624
Hexadecimal	0x3F2B94

Divisor Catalog (24)

1 2 4 29 58 89 116 178 356 401 802 1,604 2,581 5,162 10,324 11,629 23,258 35,689 46,516 71,378 142,756 1,034,981 2,069,962 4,139,924

Collatz Trajectory (198 steps to reach 1)

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

4,139,924 2,069,962 1,034,981 3,104,944 1,552,472 776,236 388,118 194,059 582,178 291,089 873,268 436,634 218,317 654,952 327,476 163,738 81,869 245,608 122,804 61,402 30,701 92,104 46,052 23,026 11,513 34,540 17,270 8,635 25,906 12,953 38,860 19,430 9,715 29,146 14,573 43,720 21,860 10,930 5,465 16,396 8,198 4,099 12,298 6,149 18,448 9,224 4,612 2,306 1,153 3,460 1,730 865 2,596 1,298 649 1,948 974 487 1,462 731

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