2,581,917

3 × 13 × 239 × 277

Starting at 2,581,917, the Collatz iteration reaches 1 after 187 steps. The first transition is 7745752; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 13 × 239 × 277

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 3,736,320

Proper Divisor Sum 1,154,403

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #2581913 ← → #2581919

Radix Representation

Decimal	2581917
Binary	1001110110010110011101 (22 bits)
Octal	0o11662635
Hexadecimal	0x27659D

Divisor Catalog (16)

1 3 13 39 239 277 717 831 3,107 3,601 9,321 10,803 66,203 198,609 860,639 2,581,917

Collatz Trajectory (187 steps to reach 1)

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

2,581,917 7,745,752 3,872,876 1,936,438 968,219 2,904,658 1,452,329 4,356,988 2,178,494 1,089,247 3,267,742 1,633,871 4,901,614 2,450,807 7,352,422 3,676,211 11,028,634 5,514,317 16,542,952 8,271,476 4,135,738 2,067,869 6,203,608 3,101,804 1,550,902 775,451 2,326,354 1,163,177 3,489,532 1,744,766 872,383 2,617,150 1,308,575 3,925,726 1,962,863 5,888,590 2,944,295 8,832,886 4,416,443 13,249,330 6,624,665 19,873,996 9,936,998 4,968,499 14,905,498 7,452,749 22,358,248 11,179,124 5,589,562 2,794,781 8,384,344 4,192,172 2,096,086 1,048,043 3,144,130 1,572,065 4,716,196 2,358,098 1,179,049 3,537,148

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