40,059,628

2² × 7 × 439 × 3259

40,059,628 factors as 2^2 × 7 × 439 × 3259. Its 24 positive divisors give a proper-divisor sum of 40,266,772, so this integer is abundant. The Collatz stopping time is 139 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 439 × 3259

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 80,326,400

Proper Divisor Sum 40,266,772

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #40059587 ← → #40059631

Radix Representation

Decimal	40059628
Binary	10011000110100001011101100 (26 bits)
Octal	0o230641354
Hexadecimal	0x26342EC

Divisor Catalog (24)

Collatz Trajectory (139 steps to reach 1)

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

40,059,628 20,029,814 10,014,907 30,044,722 15,022,361 45,067,084 22,533,542 11,266,771 33,800,314 16,900,157 50,700,472 25,350,236 12,675,118 6,337,559 19,012,678 9,506,339 28,519,018 14,259,509 42,778,528 21,389,264 10,694,632 5,347,316 2,673,658 1,336,829 4,010,488 2,005,244 1,002,622 501,311 1,503,934 751,967 2,255,902 1,127,951 3,383,854 1,691,927 5,075,782 2,537,891 7,613,674 3,806,837 11,420,512 5,710,256 2,855,128 1,427,564 713,782 356,891 1,070,674 535,337 1,606,012 803,006 401,503 1,204,510 602,255 1,806,766 903,383 2,710,150 1,355,075 4,065,226 2,032,613 6,097,840 3,048,920 1,524,460

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