2,505,890

2 × 5 × 29 × 8641

Starting at 2,505,890, the Collatz iteration reaches 1 after 86 steps. The first transition is 1252945; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 5 × 29 × 8641

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 4,666,680

Proper Divisor Sum 2,160,790

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #2505863 ← → #2505901

Radix Representation

Decimal	2505890
Binary	1001100011110010100010 (22 bits)
Octal	0o11436242
Hexadecimal	0x263CA2

Divisor Catalog (16)

1 2 5 10 29 58 145 290 8,641 17,282 43,205 86,410 250,589 501,178 1,252,945 2,505,890

Collatz Trajectory (86 steps to reach 1)

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

2,505,890 1,252,945 3,758,836 1,879,418 939,709 2,819,128 1,409,564 704,782 352,391 1,057,174 528,587 1,585,762 792,881 2,378,644 1,189,322 594,661 1,783,984 891,992 445,996 222,998 111,499 334,498 167,249 501,748 250,874 125,437 376,312 188,156 94,078 47,039 141,118 70,559 211,678 105,839 317,518 158,759 476,278 238,139 714,418 357,209 1,071,628 535,814 267,907 803,722 401,861 1,205,584 602,792 301,396 150,698 75,349 226,048 113,024 56,512 28,256 14,128 7,064 3,532 1,766 883 2,650

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