λ
Ratio Atlas

2,596,209

3 × 7 × 11 × 11239
Deficient Odd Composite

2,596,209 factors as 3 × 7 × 11 × 11239. Its 16 positive divisors give a proper-divisor sum of 1,719,951, so this integer is deficient. The Collatz stopping time is 187 steps.

Prime Factor Structure

Factorization String 3 × 7 × 11 × 11239
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 4,316,160
Proper Divisor Sum 1,719,951
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #2596163 ← → #2596213

Radix Representation

Decimal 2596209
Binary 1001111001110101110001 (22 bits)
Octal 0o11716561
Hexadecimal 0x279D71

Divisor Catalog (16)

1 3 7 11 21 33 77 231 11,239 33,717 78,673 123,629 236,019 370,887 865,403 2,596,209

Collatz Trajectory (187 steps to reach 1)

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

2,596,209 7,788,628 3,894,314 1,947,157 5,841,472 2,920,736 1,460,368 730,184 365,092 182,546 91,273 273,820 136,910 68,455 205,366 102,683 308,050 154,025 462,076 231,038 115,519 346,558 173,279 519,838 259,919 779,758 389,879 1,169,638 584,819 1,754,458 877,229 2,631,688 1,315,844 657,922 328,961 986,884 493,442 246,721 740,164 370,082 185,041 555,124 277,562 138,781 416,344 208,172 104,086 52,043 156,130 78,065 234,196 117,098 58,549 175,648 87,824 43,912 21,956 10,978 5,489 16,468

More profiles

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