2,509,335

3² × 5 × 55763

2,509,335 has the prime decomposition 3^2 × 5 × 55763. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 5 × 55763

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 4,349,592

Proper Divisor Sum 1,840,257

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #2509333 ← → #2509337

Radix Representation

Decimal	2509335
Binary	1001100100101000010111 (22 bits)
Octal	0o11445027
Hexadecimal	0x264A17

Divisor Catalog (12)

1 3 5 9 15 45 55,763 167,289 278,815 501,867 836,445 2,509,335

Collatz Trajectory (267 steps to reach 1)

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

2,509,335 7,528,006 3,764,003 11,292,010 5,646,005 16,938,016 8,469,008 4,234,504 2,117,252 1,058,626 529,313 1,587,940 793,970 396,985 1,190,956 595,478 297,739 893,218 446,609 1,339,828 669,914 334,957 1,004,872 502,436 251,218 125,609 376,828 188,414 94,207 282,622 141,311 423,934 211,967 635,902 317,951 953,854 476,927 1,430,782 715,391 2,146,174 1,073,087 3,219,262 1,609,631 4,828,894 2,414,447 7,243,342 3,621,671 10,865,014 5,432,507 16,297,522 8,148,761 24,446,284 12,223,142 6,111,571 18,334,714 9,167,357 27,502,072 13,751,036 6,875,518 3,437,759

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