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Atlas › Integer Profiles › Node 3,989,601

3,989,601

33 × 7 × 11 × 19 × 101
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^3 × 7 × 11 × 19 × 101
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 7,833,600
Proper Divisor Sum 3,843,999
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #3989593 ← → #3989641

Radix Representation

Decimal 3989601
Binary 1111001110000001100001 (22 bits)
Octal 0o17160141
Hexadecimal 0x3CE061

Divisor Catalog (60 of 64)

1 3 7 9 11 19 21 27 33 57 63 77 99 101 133 171 189 209 231 297 303 399 513 627 693 707 909 1,111 1,197 1,463 1,881 1,919 2,079 2,121 2,727 3,333 3,591 4,389 5,643 5,757 6,363 7,777 9,999 13,167 13,433 17,271 19,089 21,109 23,331 29,997 39,501 40,299 51,813 63,327 69,993 120,897 147,763 189,981 209,979 362,691

Collatz Trajectory (115 steps to reach 1)

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

3,989,601 11,968,804 5,984,402 2,992,201 8,976,604 4,488,302 2,244,151 6,732,454 3,366,227 10,098,682 5,049,341 15,148,024 7,574,012 3,787,006 1,893,503 5,680,510 2,840,255 8,520,766 4,260,383 12,781,150 6,390,575 19,171,726 9,585,863 28,757,590 14,378,795 43,136,386 21,568,193 64,704,580 32,352,290 16,176,145 48,528,436 24,264,218 12,132,109 36,396,328 18,198,164 9,099,082 4,549,541 13,648,624 6,824,312 3,412,156 1,706,078 853,039 2,559,118 1,279,559 3,838,678 1,919,339 5,758,018 2,879,009 8,637,028 4,318,514 2,159,257 6,477,772 3,238,886 1,619,443 4,858,330 2,429,165 7,287,496 3,643,748 1,821,874 910,937

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