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Atlas › Integer Profiles › Node 3,741,010

3,741,010

2 × 5 × 7 × 13 × 4111
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 5 × 7 × 13 × 4111
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 8,289,792
Proper Divisor Sum 4,548,782
Digit Sum / Digital Root 16 (Root: 7)
Adjacent Primes #3740993 ← → #3741011

Radix Representation

Decimal 3741010
Binary 1110010001010101010010 (22 bits)
Octal 0o16212522
Hexadecimal 0x391552

Divisor Catalog (32)

1 2 5 7 10 13 14 26 35 65 70 91 130 182 455 910 4,111 8,222 20,555 28,777 41,110 53,443 57,554 106,886 143,885 267,215 287,770 374,101 534,430 748,202 1,870,505 3,741,010

Collatz Trajectory (216 steps to reach 1)

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

3,741,010 1,870,505 5,611,516 2,805,758 1,402,879 4,208,638 2,104,319 6,312,958 3,156,479 9,469,438 4,734,719 14,204,158 7,102,079 21,306,238 10,653,119 31,959,358 15,979,679 47,939,038 23,969,519 71,908,558 35,954,279 107,862,838 53,931,419 161,794,258 80,897,129 242,691,388 121,345,694 60,672,847 182,018,542 91,009,271 273,027,814 136,513,907 409,541,722 204,770,861 614,312,584 307,156,292 153,578,146 76,789,073 230,367,220 115,183,610 57,591,805 172,775,416 86,387,708 43,193,854 21,596,927 64,790,782 32,395,391 97,186,174 48,593,087 145,779,262 72,889,631 218,668,894 109,334,447 328,003,342 164,001,671 492,005,014 246,002,507 738,007,522 369,003,761 1,107,011,284

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