6,227,975

5² × 13 × 19163

Starting at 6,227,975, the Collatz iteration reaches 1 after 77 steps. The first transition is 18683926; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 5^2 × 13 × 19163

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 8,317,176

Proper Divisor Sum 2,089,201

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #6227971 ← → #6227987

Radix Representation

Decimal	6227975
Binary	10111110000100000000111 (23 bits)
Octal	0o27604007
Hexadecimal	0x5F0807

Divisor Catalog (12)

1 5 13 25 65 325 19,163 95,815 249,119 479,075 1,245,595 6,227,975

Collatz Trajectory (77 steps to reach 1)

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

6,227,975 18,683,926 9,341,963 28,025,890 14,012,945 42,038,836 21,019,418 10,509,709 31,529,128 15,764,564 7,882,282 3,941,141 11,823,424 5,911,712 2,955,856 1,477,928 738,964 369,482 184,741 554,224 277,112 138,556 69,278 34,639 103,918 51,959 155,878 77,939 233,818 116,909 350,728 175,364 87,682 43,841 131,524 65,762 32,881 98,644 49,322 24,661 73,984 36,992 18,496 9,248 4,624 2,312 1,156 578 289 868 434 217 652 326 163 490 245 736 368 184

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