λ
Ratio Atlas
Atlas › Integer Profiles › Node 3,937,245

3,937,245

3 × 5 × 13 × 61 × 331
Deficient Odd Composite

3,937,245 factors as 3 × 5 × 13 × 61 × 331. Its 32 positive divisors give a proper-divisor sum of 2,978,979, so this integer is deficient. The Collatz stopping time is 260 steps.

Prime Factor Structure

Factorization String 3 × 5 × 13 × 61 × 331
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 6,916,224
Proper Divisor Sum 2,978,979
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #3937229 ← → #3937249

Radix Representation

Decimal 3937245
Binary 1111000001001111011101 (22 bits)
Octal 0o17011735
Hexadecimal 0x3C13DD

Divisor Catalog (32)

1 3 5 13 15 39 61 65 183 195 305 331 793 915 993 1,655 2,379 3,965 4,303 4,965 11,895 12,909 20,191 21,515 60,573 64,545 100,955 262,483 302,865 787,449 1,312,415 3,937,245

Collatz Trajectory (260 steps to reach 1)

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

3,937,245 11,811,736 5,905,868 2,952,934 1,476,467 4,429,402 2,214,701 6,644,104 3,322,052 1,661,026 830,513 2,491,540 1,245,770 622,885 1,868,656 934,328 467,164 233,582 116,791 350,374 175,187 525,562 262,781 788,344 394,172 197,086 98,543 295,630 147,815 443,446 221,723 665,170 332,585 997,756 498,878 249,439 748,318 374,159 1,122,478 561,239 1,683,718 841,859 2,525,578 1,262,789 3,788,368 1,894,184 947,092 473,546 236,773 710,320 355,160 177,580 88,790 44,395 133,186 66,593 199,780 99,890 49,945 149,836

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #3,937,244 Browse Full Index Next Integer #3,937,246 →