2,586,625

5³ × 20693

2,586,625 factors as 5^3 × 20693. Its 8 positive divisors give a proper-divisor sum of 641,639, so this integer is deficient. The Collatz stopping time is 156 steps.

Prime Factor Structure

Factorization String 5^3 × 20693

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 3,228,264

Proper Divisor Sum 641,639

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #2586611 ← → #2586629

Radix Representation

Decimal	2586625
Binary	1001110111100000000001 (22 bits)
Octal	0o11674001
Hexadecimal	0x277801

Divisor Catalog (8)

1 5 25 125 20,693 103,465 517,325 2,586,625

Collatz Trajectory (156 steps to reach 1)

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

2,586,625 7,759,876 3,879,938 1,939,969 5,819,908 2,909,954 1,454,977 4,364,932 2,182,466 1,091,233 3,273,700 1,636,850 818,425 2,455,276 1,227,638 613,819 1,841,458 920,729 2,762,188 1,381,094 690,547 2,071,642 1,035,821 3,107,464 1,553,732 776,866 388,433 1,165,300 582,650 291,325 873,976 436,988 218,494 109,247 327,742 163,871 491,614 245,807 737,422 368,711 1,106,134 553,067 1,659,202 829,601 2,488,804 1,244,402 622,201 1,866,604 933,302 466,651 1,399,954 699,977 2,099,932 1,049,966 524,983 1,574,950 787,475 2,362,426 1,181,213 3,543,640

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