2,552,828

2² × 313 × 2039

2,552,828 has digital root 5. The neighboring primes are 2552807 and 2552833; its proper-divisor sum differs from the starting integer by -621,736.

Prime Factor Structure

Factorization String 2^2 × 313 × 2039

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 4,483,920

Proper Divisor Sum 1,931,092

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #2552807 ← → #2552833

Radix Representation

Decimal	2552828
Binary	1001101111001111111100 (22 bits)
Octal	0o11571774
Hexadecimal	0x26F3FC

Divisor Catalog (12)

1 2 4 313 626 1,252 2,039 4,078 8,156 638,207 1,276,414 2,552,828

Collatz Trajectory (249 steps to reach 1)

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

2,552,828 1,276,414 638,207 1,914,622 957,311 2,871,934 1,435,967 4,307,902 2,153,951 6,461,854 3,230,927 9,692,782 4,846,391 14,539,174 7,269,587 21,808,762 10,904,381 32,713,144 16,356,572 8,178,286 4,089,143 12,267,430 6,133,715 18,401,146 9,200,573 27,601,720 13,800,860 6,900,430 3,450,215 10,350,646 5,175,323 15,525,970 7,762,985 23,288,956 11,644,478 5,822,239 17,466,718 8,733,359 26,200,078 13,100,039 39,300,118 19,650,059 58,950,178 29,475,089 88,425,268 44,212,634 22,106,317 66,318,952 33,159,476 16,579,738 8,289,869 24,869,608 12,434,804 6,217,402 3,108,701 9,326,104 4,663,052 2,331,526 1,165,763 3,497,290

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