λ
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Atlas › Integer Profiles › Node 64,019,438

64,019,438

2 × 7 × 67 × 131 × 521
Deficient Even Composite

64,019,438 factors as 2 × 7 × 67 × 131 × 521. Its 32 positive divisors give a proper-divisor sum of 48,431,890, so this integer is deficient. The Collatz stopping time is 251 steps.

Prime Factor Structure

Factorization String 2 × 7 × 67 × 131 × 521
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 112,451,328
Proper Divisor Sum 48,431,890
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #64019413 ← → #64019453

Radix Representation

Decimal 64019438
Binary 11110100001101101111101110 (26 bits)
Octal 0o364155756
Hexadecimal 0x3D0DBEE

Divisor Catalog (32)

1 2 7 14 67 131 134 262 469 521 917 938 1,042 1,834 3,647 7,294 8,777 17,554 34,907 61,439 68,251 69,814 122,878 136,502 244,349 477,757 488,698 955,514 4,572,817 9,145,634 32,009,719 64,019,438

Collatz Trajectory (251 steps to reach 1)

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

64,019,438 32,009,719 96,029,158 48,014,579 144,043,738 72,021,869 216,065,608 108,032,804 54,016,402 27,008,201 81,024,604 40,512,302 20,256,151 60,768,454 30,384,227 91,152,682 45,576,341 136,729,024 68,364,512 34,182,256 17,091,128 8,545,564 4,272,782 2,136,391 6,409,174 3,204,587 9,613,762 4,806,881 14,420,644 7,210,322 3,605,161 10,815,484 5,407,742 2,703,871 8,111,614 4,055,807 12,167,422 6,083,711 18,251,134 9,125,567 27,376,702 13,688,351 41,065,054 20,532,527 61,597,582 30,798,791 92,396,374 46,198,187 138,594,562 69,297,281 207,891,844 103,945,922 51,972,961 155,918,884 77,959,442 38,979,721 116,939,164 58,469,582 29,234,791 87,704,374

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