2,585,564

2² × 17 × 47 × 809

2,585,564 factors as 2^2 × 17 × 47 × 809. Its 24 positive divisors give a proper-divisor sum of 2,313,316, so this integer is deficient. The Collatz stopping time is 94 steps.

Prime Factor Structure

Factorization String 2^2 × 17 × 47 × 809

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 4,898,880

Proper Divisor Sum 2,313,316

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #2585549 ← → #2585579

Radix Representation

Decimal	2585564
Binary	1001110111001111011100 (22 bits)
Octal	0o11671734
Hexadecimal	0x2773DC

Divisor Catalog (24)

1 2 4 17 34 47 68 94 188 799 809 1,598 1,618 3,196 3,236 13,753 27,506 38,023 55,012 76,046 152,092 646,391 1,292,782 2,585,564

Collatz Trajectory (94 steps to reach 1)

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

2,585,564 1,292,782 646,391 1,939,174 969,587 2,908,762 1,454,381 4,363,144 2,181,572 1,090,786 545,393 1,636,180 818,090 409,045 1,227,136 613,568 306,784 153,392 76,696 38,348 19,174 9,587 28,762 14,381 43,144 21,572 10,786 5,393 16,180 8,090 4,045 12,136 6,068 3,034 1,517 4,552 2,276 1,138 569 1,708 854 427 1,282 641 1,924 962 481 1,444 722 361 1,084 542 271 814 407 1,222 611 1,834 917 2,752

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