5,275,921

7 × 31 × 41 × 593

Starting at 5,275,921, the Collatz iteration reaches 1 after 126 steps. The first transition is 15827764; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 7 × 31 × 41 × 593

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 6,386,688

Proper Divisor Sum 1,110,767

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #5275909 ← → #5275987

Radix Representation

Decimal	5275921
Binary	10100001000000100010001 (23 bits)
Octal	0o24100421
Hexadecimal	0x508111

Divisor Catalog (16)

1 7 31 41 217 287 593 1,271 4,151 8,897 18,383 24,313 128,681 170,191 753,703 5,275,921

Collatz Trajectory (126 steps to reach 1)

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

5,275,921 15,827,764 7,913,882 3,956,941 11,870,824 5,935,412 2,967,706 1,483,853 4,451,560 2,225,780 1,112,890 556,445 1,669,336 834,668 417,334 208,667 626,002 313,001 939,004 469,502 234,751 704,254 352,127 1,056,382 528,191 1,584,574 792,287 2,376,862 1,188,431 3,565,294 1,782,647 5,347,942 2,673,971 8,021,914 4,010,957 12,032,872 6,016,436 3,008,218 1,504,109 4,512,328 2,256,164 1,128,082 564,041 1,692,124 846,062 423,031 1,269,094 634,547 1,903,642 951,821 2,855,464 1,427,732 713,866 356,933 1,070,800 535,400 267,700 133,850 66,925 200,776

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