λ
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64,136,488

23 × 13 × 229 × 2693
Abundant Even Composite

64,136,488 factors as 2^3 × 13 × 229 × 2693. Its 32 positive divisors give a proper-divisor sum of 65,983,712, so this integer is abundant. The Collatz stopping time is 145 steps.

Prime Factor Structure

Factorization String 2^3 × 13 × 229 × 2693
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 130,120,200
Proper Divisor Sum 65,983,712
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #64136483 ← → #64136491

Radix Representation

Decimal 64136488
Binary 11110100101010010100101000 (26 bits)
Octal 0o364522450
Hexadecimal 0x3D2A528

Divisor Catalog (32)

1 2 4 8 13 26 52 104 229 458 916 1,832 2,693 2,977 5,386 5,954 10,772 11,908 21,544 23,816 35,009 70,018 140,036 280,072 616,697 1,233,394 2,466,788 4,933,576 8,017,061 16,034,122 32,068,244 64,136,488

Collatz Trajectory (145 steps to reach 1)

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

64,136,488 32,068,244 16,034,122 8,017,061 24,051,184 12,025,592 6,012,796 3,006,398 1,503,199 4,509,598 2,254,799 6,764,398 3,382,199 10,146,598 5,073,299 15,219,898 7,609,949 22,829,848 11,414,924 5,707,462 2,853,731 8,561,194 4,280,597 12,841,792 6,420,896 3,210,448 1,605,224 802,612 401,306 200,653 601,960 300,980 150,490 75,245 225,736 112,868 56,434 28,217 84,652 42,326 21,163 63,490 31,745 95,236 47,618 23,809 71,428 35,714 17,857 53,572 26,786 13,393 40,180 20,090 10,045 30,136 15,068 7,534 3,767 11,302

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