2,617,460

2² × 5 × 130873

2,617,460 factors as 2^2 × 5 × 130873. Its 12 positive divisors give a proper-divisor sum of 2,879,248, so this integer is abundant. The Collatz stopping time is 200 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 130873

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 5,496,708

Proper Divisor Sum 2,879,248

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #2617457 ← → #2617471

Radix Representation

Decimal	2617460
Binary	1001111111000001110100 (22 bits)
Octal	0o11770164
Hexadecimal	0x27F074

Divisor Catalog (12)

1 2 4 5 10 20 130,873 261,746 523,492 654,365 1,308,730 2,617,460

Collatz Trajectory (200 steps to reach 1)

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

2,617,460 1,308,730 654,365 1,963,096 981,548 490,774 245,387 736,162 368,081 1,104,244 552,122 276,061 828,184 414,092 207,046 103,523 310,570 155,285 465,856 232,928 116,464 58,232 29,116 14,558 7,279 21,838 10,919 32,758 16,379 49,138 24,569 73,708 36,854 18,427 55,282 27,641 82,924 41,462 20,731 62,194 31,097 93,292 46,646 23,323 69,970 34,985 104,956 52,478 26,239 78,718 39,359 118,078 59,039 177,118 88,559 265,678 132,839 398,518 199,259 597,778

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