λ
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61,322,808

23 × 3 × 17 × 150301
Abundant Even Composite

61,322,808 factors as 2^3 × 3 × 17 × 150301. Its 32 positive divisors give a proper-divisor sum of 101,003,352, so this integer is abundant. The Collatz stopping time is 220 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 17 × 150301
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 162,326,160
Proper Divisor Sum 101,003,352
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #61322783 ← → #61322809

Radix Representation

Decimal 61322808
Binary 11101001111011011000111000 (26 bits)
Octal 0o351733070
Hexadecimal 0x3A7B638

Divisor Catalog (32)

1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 408 150,301 300,602 450,903 601,204 901,806 1,202,408 1,803,612 2,555,117 3,607,224 5,110,234 7,665,351 10,220,468 15,330,702 20,440,936 30,661,404 61,322,808

Collatz Trajectory (220 steps to reach 1)

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

61,322,808 30,661,404 15,330,702 7,665,351 22,996,054 11,498,027 34,494,082 17,247,041 51,741,124 25,870,562 12,935,281 38,805,844 19,402,922 9,701,461 29,104,384 14,552,192 7,276,096 3,638,048 1,819,024 909,512 454,756 227,378 113,689 341,068 170,534 85,267 255,802 127,901 383,704 191,852 95,926 47,963 143,890 71,945 215,836 107,918 53,959 161,878 80,939 242,818 121,409 364,228 182,114 91,057 273,172 136,586 68,293 204,880 102,440 51,220 25,610 12,805 38,416 19,208 9,604 4,802 2,401 7,204 3,602 1,801

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