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Atlas › Integer Profiles › Node 15,664,341

15,664,341

3 × 7 × 11 × 19 × 43 × 83
Deficient Odd Composite

15,664,341 factors as 3 × 7 × 11 × 19 × 43 × 83. Its 64 positive divisors give a proper-divisor sum of 12,720,939, so this integer is deficient. The Collatz stopping time is 81 steps.

Prime Factor Structure

Factorization String 3 × 7 × 11 × 19 × 43 × 83
Distinct Prime Factors 6
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 28,385,280
Proper Divisor Sum 12,720,939
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #15664339 ← → #15664351

Radix Representation

Decimal 15664341
Binary 111011110000010011010101 (24 bits)
Octal 0o73602325
Hexadecimal 0xEF04D5

Divisor Catalog (60 of 64)

1 3 7 11 19 21 33 43 57 77 83 129 133 209 231 249 301 399 473 581 627 817 903 913 1,419 1,463 1,577 1,743 2,451 2,739 3,311 3,569 4,389 4,731 5,719 6,391 8,987 9,933 10,707 11,039 17,157 17,347 19,173 24,983 26,961 33,117 39,259 52,041 62,909 67,811 74,949 117,777 121,429 188,727 203,433 274,813 364,287 474,677 745,921 824,439

Collatz Trajectory (81 steps to reach 1)

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

15,664,341 46,993,024 23,496,512 11,748,256 5,874,128 2,937,064 1,468,532 734,266 367,133 1,101,400 550,700 275,350 137,675 413,026 206,513 619,540 309,770 154,885 464,656 232,328 116,164 58,082 29,041 87,124 43,562 21,781 65,344 32,672 16,336 8,168 4,084 2,042 1,021 3,064 1,532 766 383 1,150 575 1,726 863 2,590 1,295 3,886 1,943 5,830 2,915 8,746 4,373 13,120 6,560 3,280 1,640 820 410 205 616 308 154 77

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