41,006,400

2⁶ × 3 × 5² × 8543

41,006,400 factors as 2^6 × 3 × 5^2 × 8543. Its 84 positive divisors give a proper-divisor sum of 93,544,512, so this integer is abundant. The Collatz stopping time is 222 steps.

Prime Factor Structure

Factorization String 2^6 × 3 × 5^2 × 8543

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 84

Divisor Sum (σ) 134,550,912

Proper Divisor Sum 93,544,512

Digit Sum / Digital Root 15 (Root: 6)

Adjacent Primes #41006387 ← → #41006461

Radix Representation

Decimal	41006400
Binary	10011100011011010101000000 (26 bits)
Octal	0o234332500
Hexadecimal	0x271B540

Divisor Catalog (60 of 84)

1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 150 160 192 200 240 300 320 400 480 600 800 960 1,200 1,600 2,400 4,800 8,543 17,086 25,629 34,172 42,715 51,258 68,344 85,430 102,516 128,145 136,688 170,860 205,032 213,575 256,290 273,376 341,720 410,064

Collatz Trajectory (222 steps to reach 1)

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

41,006,400 20,503,200 10,251,600 5,125,800 2,562,900 1,281,450 640,725 1,922,176 961,088 480,544 240,272 120,136 60,068 30,034 15,017 45,052 22,526 11,263 33,790 16,895 50,686 25,343 76,030 38,015 114,046 57,023 171,070 85,535 256,606 128,303 384,910 192,455 577,366 288,683 866,050 433,025 1,299,076 649,538 324,769 974,308 487,154 243,577 730,732 365,366 182,683 548,050 274,025 822,076 411,038 205,519 616,558 308,279 924,838 462,419 1,387,258 693,629 2,080,888 1,040,444 520,222 260,111

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