2,565,001

41 × 73 × 857

2,565,001 factors as 41 × 73 × 857. Its 8 positive divisors give a proper-divisor sum of 101,663, so this integer is deficient. The Collatz stopping time is 218 steps.

Prime Factor Structure

Factorization String 41 × 73 × 857

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 2,666,664

Proper Divisor Sum 101,663

Digit Sum / Digital Root 19 (Root: 1)

Adjacent Primes #2564999 ← → #2565007

Radix Representation

Decimal	2565001
Binary	1001110010001110001001 (22 bits)
Octal	0o11621611
Hexadecimal	0x272389

Divisor Catalog (8)

1 41 73 857 2,993 35,137 62,561 2,565,001

Collatz Trajectory (218 steps to reach 1)

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

2,565,001 7,695,004 3,847,502 1,923,751 5,771,254 2,885,627 8,656,882 4,328,441 12,985,324 6,492,662 3,246,331 9,738,994 4,869,497 14,608,492 7,304,246 3,652,123 10,956,370 5,478,185 16,434,556 8,217,278 4,108,639 12,325,918 6,162,959 18,488,878 9,244,439 27,733,318 13,866,659 41,599,978 20,799,989 62,399,968 31,199,984 15,599,992 7,799,996 3,899,998 1,949,999 5,849,998 2,924,999 8,774,998 4,387,499 13,162,498 6,581,249 19,743,748 9,871,874 4,935,937 14,807,812 7,403,906 3,701,953 11,105,860 5,552,930 2,776,465 8,329,396 4,164,698 2,082,349 6,247,048 3,123,524 1,561,762 780,881 2,342,644 1,171,322 585,661

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