43,702,414

2 × 7² × 445943

43,702,414 factors as 2 × 7^2 × 445943. Its 12 positive divisors give a proper-divisor sum of 32,554,010, so this integer is deficient. The Collatz stopping time is 116 steps.

Prime Factor Structure

Factorization String 2 × 7^2 × 445943

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 76,256,424

Proper Divisor Sum 32,554,010

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #43702409 ← → #43702423

Radix Representation

Decimal	43702414
Binary	10100110101101100010001110 (26 bits)
Octal	0o246554216
Hexadecimal	0x29AD88E

Divisor Catalog (12)

1 2 7 14 49 98 445,943 891,886 3,121,601 6,243,202 21,851,207 43,702,414

Collatz Trajectory (116 steps to reach 1)

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

43,702,414 21,851,207 65,553,622 32,776,811 98,330,434 49,165,217 147,495,652 73,747,826 36,873,913 110,621,740 55,310,870 27,655,435 82,966,306 41,483,153 124,449,460 62,224,730 31,112,365 93,337,096 46,668,548 23,334,274 11,667,137 35,001,412 17,500,706 8,750,353 26,251,060 13,125,530 6,562,765 19,688,296 9,844,148 4,922,074 2,461,037 7,383,112 3,691,556 1,845,778 922,889 2,768,668 1,384,334 692,167 2,076,502 1,038,251 3,114,754 1,557,377 4,672,132 2,336,066 1,168,033 3,504,100 1,752,050 876,025 2,628,076 1,314,038 657,019 1,971,058 985,529 2,956,588 1,478,294 739,147 2,217,442 1,108,721 3,326,164 1,663,082

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