32,365,732

2² × 7 × 1155919

32,365,732 factors as 2^2 × 7 × 1155919. Its 12 positive divisors give a proper-divisor sum of 32,365,788, so this integer is abundant. The Collatz stopping time is 113 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 1155919

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 64,731,520

Proper Divisor Sum 32,365,788

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #32365727 ← → #32365741

Radix Representation

Decimal	32365732
Binary	1111011011101110010100100 (25 bits)
Octal	0o173356244
Hexadecimal	0x1EDDCA4

Divisor Catalog (12)

1 2 4 7 14 28 1,155,919 2,311,838 4,623,676 8,091,433 16,182,866 32,365,732

Collatz Trajectory (113 steps to reach 1)

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

32,365,732 16,182,866 8,091,433 24,274,300 12,137,150 6,068,575 18,205,726 9,102,863 27,308,590 13,654,295 40,962,886 20,481,443 61,444,330 30,722,165 92,166,496 46,083,248 23,041,624 11,520,812 5,760,406 2,880,203 8,640,610 4,320,305 12,960,916 6,480,458 3,240,229 9,720,688 4,860,344 2,430,172 1,215,086 607,543 1,822,630 911,315 2,733,946 1,366,973 4,100,920 2,050,460 1,025,230 512,615 1,537,846 768,923 2,306,770 1,153,385 3,460,156 1,730,078 865,039 2,595,118 1,297,559 3,892,678 1,946,339 5,839,018 2,919,509 8,758,528 4,379,264 2,189,632 1,094,816 547,408 273,704 136,852 68,426 34,213

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