2,641,015

5 × 13 × 41 × 991

Starting at 2,641,015, the Collatz iteration reaches 1 after 324 steps. The first transition is 7923046; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 5 × 13 × 41 × 991

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 3,499,776

Proper Divisor Sum 858,761

Digit Sum / Digital Root 19 (Root: 1)

Adjacent Primes #2641013 ← → #2641027

Radix Representation

Decimal	2641015
Binary	1010000100110001110111 (22 bits)
Octal	0o12046167
Hexadecimal	0x284C77

Divisor Catalog (16)

1 5 13 41 65 205 533 991 2,665 4,955 12,883 40,631 64,415 203,155 528,203 2,641,015

Collatz Trajectory (324 steps to reach 1)

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

2,641,015 7,923,046 3,961,523 11,884,570 5,942,285 17,826,856 8,913,428 4,456,714 2,228,357 6,685,072 3,342,536 1,671,268 835,634 417,817 1,253,452 626,726 313,363 940,090 470,045 1,410,136 705,068 352,534 176,267 528,802 264,401 793,204 396,602 198,301 594,904 297,452 148,726 74,363 223,090 111,545 334,636 167,318 83,659 250,978 125,489 376,468 188,234 94,117 282,352 141,176 70,588 35,294 17,647 52,942 26,471 79,414 39,707 119,122 59,561 178,684 89,342 44,671 134,014 67,007 201,022 100,511

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