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Atlas › Integer Profiles › Node 3,948,381

3,948,381

32 × 37 × 71 × 167
Deficient Odd Composite

3,948,381 factors as 3^2 × 37 × 71 × 167. Its 24 positive divisors give a proper-divisor sum of 2,027,043, so this integer is deficient. The Collatz stopping time is 172 steps.

Prime Factor Structure

Factorization String 3^2 × 37 × 71 × 167
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 5,975,424
Proper Divisor Sum 2,027,043
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #3948367 ← → #3948383

Radix Representation

Decimal 3948381
Binary 1111000011111101011101 (22 bits)
Octal 0o17037535
Hexadecimal 0x3C3F5D

Divisor Catalog (24)

1 3 9 37 71 111 167 213 333 501 639 1,503 2,627 6,179 7,881 11,857 18,537 23,643 35,571 55,611 106,713 438,709 1,316,127 3,948,381

Collatz Trajectory (172 steps to reach 1)

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

3,948,381 11,845,144 5,922,572 2,961,286 1,480,643 4,441,930 2,220,965 6,662,896 3,331,448 1,665,724 832,862 416,431 1,249,294 624,647 1,873,942 936,971 2,810,914 1,405,457 4,216,372 2,108,186 1,054,093 3,162,280 1,581,140 790,570 395,285 1,185,856 592,928 296,464 148,232 74,116 37,058 18,529 55,588 27,794 13,897 41,692 20,846 10,423 31,270 15,635 46,906 23,453 70,360 35,180 17,590 8,795 26,386 13,193 39,580 19,790 9,895 29,686 14,843 44,530 22,265 66,796 33,398 16,699 50,098 25,049

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