41,009,850

2 × 3² × 5² × 7 × 47 × 277

41,009,850 factors as 2 × 3^2 × 5^2 × 7 × 47 × 277. Its 144 positive divisors give a proper-divisor sum of 88,053,318, so this integer is abundant. The Collatz stopping time is 222 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 5^2 × 7 × 47 × 277

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 144

Divisor Sum (σ) 129,063,168

Proper Divisor Sum 88,053,318

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #41009849 ← → #41009861

Radix Representation

Decimal	41009850
Binary	10011100011100001010111010 (26 bits)
Octal	0o234341272
Hexadecimal	0x271C2BA

Divisor Catalog (60 of 144)

1 2 3 5 6 7 9 10 14 15 18 21 25 30 35 42 45 47 50 63 70 75 90 94 105 126 141 150 175 210 225 235 277 282 315 329 350 423 450 470 525 554 630 658 705 831 846 987 1,050 1,175 1,385 1,410 1,575 1,645 1,662 1,939 1,974 2,115 2,350 2,493

Collatz Trajectory (222 steps to reach 1)

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

41,009,850 20,504,925 61,514,776 30,757,388 15,378,694 7,689,347 23,068,042 11,534,021 34,602,064 17,301,032 8,650,516 4,325,258 2,162,629 6,487,888 3,243,944 1,621,972 810,986 405,493 1,216,480 608,240 304,120 152,060 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

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #41,009,849 Browse Full Index Next Integer #41,009,851 →