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Atlas › Integer Profiles › Node 41,005,300

41,005,300

22 × 52 × 7 × 58579
Abundant Even Composite

41,005,300 factors as 2^2 × 5^2 × 7 × 58579. Its 36 positive divisors give a proper-divisor sum of 60,689,580, so this integer is abundant. The Collatz stopping time is 178 steps.

Prime Factor Structure

Factorization String 2^2 × 5^2 × 7 × 58579
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 101,694,880
Proper Divisor Sum 60,689,580
Digit Sum / Digital Root 13 (Root: 4)
Adjacent Primes #41005267 ← → #41005301

Radix Representation

Decimal 41005300
Binary 10011100011011000011110100 (26 bits)
Octal 0o234330364
Hexadecimal 0x271B0F4

Divisor Catalog (36)

1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 58,579 117,158 234,316 292,895 410,053 585,790 820,106 1,171,580 1,464,475 1,640,212 2,050,265 2,928,950 4,100,530 5,857,900 8,201,060 10,251,325 20,502,650 41,005,300

Collatz Trajectory (178 steps to reach 1)

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

41,005,300 20,502,650 10,251,325 30,753,976 15,376,988 7,688,494 3,844,247 11,532,742 5,766,371 17,299,114 8,649,557 25,948,672 12,974,336 6,487,168 3,243,584 1,621,792 810,896 405,448 202,724 101,362 50,681 152,044 76,022 38,011 114,034 57,017 171,052 85,526 42,763 128,290 64,145 192,436 96,218 48,109 144,328 72,164 36,082 18,041 54,124 27,062 13,531 40,594 20,297 60,892 30,446 15,223 45,670 22,835 68,506 34,253 102,760 51,380 25,690 12,845 38,536 19,268 9,634 4,817 14,452 7,226

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