61,301,412

2² × 3² × 1702817

61,301,412 factors as 2^2 × 3^2 × 1702817. Its 18 positive divisors give a proper-divisor sum of 93,655,026, so this integer is abundant. The Collatz stopping time is 83 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 1702817

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 154,956,438

Proper Divisor Sum 93,655,026

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #61301411 ← → #61301419

Radix Representation

Decimal	61301412
Binary	11101001110110001010100100 (26 bits)
Octal	0o351661244
Hexadecimal	0x3A762A4

Divisor Catalog (18)

1 2 3 4 6 9 12 18 36 1,702,817 3,405,634 5,108,451 6,811,268 10,216,902 15,325,353 20,433,804 30,650,706 61,301,412

Collatz Trajectory (83 steps to reach 1)

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

61,301,412 30,650,706 15,325,353 45,976,060 22,988,030 11,494,015 34,482,046 17,241,023 51,723,070 25,861,535 77,584,606 38,792,303 116,376,910 58,188,455 174,565,366 87,282,683 261,848,050 130,924,025 392,772,076 196,386,038 98,193,019 294,579,058 147,289,529 441,868,588 220,934,294 110,467,147 331,401,442 165,700,721 497,102,164 248,551,082 124,275,541 372,826,624 186,413,312 93,206,656 46,603,328 23,301,664 11,650,832 5,825,416 2,912,708 1,456,354 728,177 2,184,532 1,092,266 546,133 1,638,400 819,200 409,600 204,800 102,400 51,200 25,600 12,800 6,400 3,200 1,600 800 400 200 100 50

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