64,190,728

2³ × 7 × 1146263

64,190,728 factors as 2^3 × 7 × 1146263. Its 16 positive divisors give a proper-divisor sum of 73,360,952, so this integer is abundant. The Collatz stopping time is 171 steps.

Prime Factor Structure

Factorization String 2^3 × 7 × 1146263

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 137,551,680

Proper Divisor Sum 73,360,952

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #64190719 ← → #64190729

Radix Representation

Decimal	64190728
Binary	11110100110111100100001000 (26 bits)
Octal	0o364674410
Hexadecimal	0x3D37908

Divisor Catalog (16)

1 2 4 7 8 14 28 56 1,146,263 2,292,526 4,585,052 8,023,841 9,170,104 16,047,682 32,095,364 64,190,728

Collatz Trajectory (171 steps to reach 1)

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

64,190,728 32,095,364 16,047,682 8,023,841 24,071,524 12,035,762 6,017,881 18,053,644 9,026,822 4,513,411 13,540,234 6,770,117 20,310,352 10,155,176 5,077,588 2,538,794 1,269,397 3,808,192 1,904,096 952,048 476,024 238,012 119,006 59,503 178,510 89,255 267,766 133,883 401,650 200,825 602,476 301,238 150,619 451,858 225,929 677,788 338,894 169,447 508,342 254,171 762,514 381,257 1,143,772 571,886 285,943 857,830 428,915 1,286,746 643,373 1,930,120 965,060 482,530 241,265 723,796 361,898 180,949 542,848 271,424 135,712 67,856

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