4,315,112

2³ × 539389

Starting at 4,315,112, the Collatz iteration reaches 1 after 211 steps. The first transition is 2157556; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 539389

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 8,090,850

Proper Divisor Sum 3,775,738

Digit Sum / Digital Root 17 (Root: 8)

Adjacent Primes #4315111 ← → #4315123

Radix Representation

Decimal	4315112
Binary	10000011101011111101000 (23 bits)
Octal	0o20353750
Hexadecimal	0x41D7E8

Divisor Catalog (8)

1 2 4 8 539,389 1,078,778 2,157,556 4,315,112

Collatz Trajectory (211 steps to reach 1)

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

4,315,112 2,157,556 1,078,778 539,389 1,618,168 809,084 404,542 202,271 606,814 303,407 910,222 455,111 1,365,334 682,667 2,048,002 1,024,001 3,072,004 1,536,002 768,001 2,304,004 1,152,002 576,001 1,728,004 864,002 432,001 1,296,004 648,002 324,001 972,004 486,002 243,001 729,004 364,502 182,251 546,754 273,377 820,132 410,066 205,033 615,100 307,550 153,775 461,326 230,663 691,990 345,995 1,037,986 518,993 1,556,980 778,490 389,245 1,167,736 583,868 291,934 145,967 437,902 218,951 656,854 328,427 985,282

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