41,865,200

2⁴ × 5² × 13 × 83 × 97

41,865,200 factors as 2^4 × 5^2 × 13 × 83 × 97. Its 120 positive divisors give a proper-divisor sum of 68,888,128, so this integer is abundant. The Collatz stopping time is 178 steps.

Prime Factor Structure

Factorization String 2^4 × 5^2 × 13 × 83 × 97

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 120

Divisor Sum (σ) 110,753,328

Proper Divisor Sum 68,888,128

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #41865199 ← → #41865251

Radix Representation

Decimal	41865200
Binary	10011111101100111111110000 (26 bits)
Octal	0o237547760
Hexadecimal	0x27ECFF0

Divisor Catalog (60 of 120)

1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 83 97 100 104 130 166 194 200 208 260 325 332 388 400 415 485 520 650 664 776 830 970 1,040 1,079 1,261 1,300 1,328 1,552 1,660 1,940 2,075 2,158 2,425 2,522 2,600 3,320 3,880 4,150 4,316 4,850 5,044 5,200 5,395 6,305

Collatz Trajectory (178 steps to reach 1)

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

41,865,200 20,932,600 10,466,300 5,233,150 2,616,575 7,849,726 3,924,863 11,774,590 5,887,295 17,661,886 8,830,943 26,492,830 13,246,415 39,739,246 19,869,623 59,608,870 29,804,435 89,413,306 44,706,653 134,119,960 67,059,980 33,529,990 16,764,995 50,294,986 25,147,493 75,442,480 37,721,240 18,860,620 9,430,310 4,715,155 14,145,466 7,072,733 21,218,200 10,609,100 5,304,550 2,652,275 7,956,826 3,978,413 11,935,240 5,967,620 2,983,810 1,491,905 4,475,716 2,237,858 1,118,929 3,356,788 1,678,394 839,197 2,517,592 1,258,796 629,398 314,699 944,098 472,049 1,416,148 708,074 354,037 1,062,112 531,056 265,528

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