λ
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Atlas › Integer Profiles › Node 45,302,292

45,302,292

22 × 32 × 7 × 29 × 6199
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3^2 × 7 × 29 × 6199
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 135,408,000
Proper Divisor Sum 90,105,708
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #45302287 ← → #45302329

Radix Representation

Decimal 45302292
Binary 10101100110100001000010100 (26 bits)
Octal 0o254641024
Hexadecimal 0x2B34214

Divisor Catalog (60 of 72)

1 2 3 4 6 7 9 12 14 18 21 28 29 36 42 58 63 84 87 116 126 174 203 252 261 348 406 522 609 812 1,044 1,218 1,827 2,436 3,654 6,199 7,308 12,398 18,597 24,796 37,194 43,393 55,791 74,388 86,786 111,582 130,179 173,572 179,771 223,164 260,358 359,542 390,537 520,716 539,313 719,084 781,074 1,078,626 1,258,397 1,562,148

Collatz Trajectory (155 steps to reach 1)

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

45,302,292 22,651,146 11,325,573 33,976,720 16,988,360 8,494,180 4,247,090 2,123,545 6,370,636 3,185,318 1,592,659 4,777,978 2,388,989 7,166,968 3,583,484 1,791,742 895,871 2,687,614 1,343,807 4,031,422 2,015,711 6,047,134 3,023,567 9,070,702 4,535,351 13,606,054 6,803,027 20,409,082 10,204,541 30,613,624 15,306,812 7,653,406 3,826,703 11,480,110 5,740,055 17,220,166 8,610,083 25,830,250 12,915,125 38,745,376 19,372,688 9,686,344 4,843,172 2,421,586 1,210,793 3,632,380 1,816,190 908,095 2,724,286 1,362,143 4,086,430 2,043,215 6,129,646 3,064,823 9,194,470 4,597,235 13,791,706 6,895,853 20,687,560 10,343,780

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