λ
Math Directory

4,156,663

7 × 163 × 3643
Deficient Odd Composite

4,156,663 factors as 7 × 163 × 3643. Its 8 positive divisors give a proper-divisor sum of 624,265, so this integer is deficient. The Collatz stopping time is 159 steps.

Prime Factor Structure

Factorization String 7 × 163 × 3643
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 4,780,928
Proper Divisor Sum 624,265
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #4156651 ← → #4156673

Radix Representation

Decimal 4156663
Binary 1111110110110011110111 (22 bits)
Octal 0o17666367
Hexadecimal 0x3F6CF7

Divisor Catalog (8)

1 7 163 1,141 3,643 25,501 593,809 4,156,663

Collatz Trajectory (159 steps to reach 1)

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

4,156,663 12,469,990 6,234,995 18,704,986 9,352,493 28,057,480 14,028,740 7,014,370 3,507,185 10,521,556 5,260,778 2,630,389 7,891,168 3,945,584 1,972,792 986,396 493,198 246,599 739,798 369,899 1,109,698 554,849 1,664,548 832,274 416,137 1,248,412 624,206 312,103 936,310 468,155 1,404,466 702,233 2,106,700 1,053,350 526,675 1,580,026 790,013 2,370,040 1,185,020 592,510 296,255 888,766 444,383 1,333,150 666,575 1,999,726 999,863 2,999,590 1,499,795 4,499,386 2,249,693 6,749,080 3,374,540 1,687,270 843,635 2,530,906 1,265,453 3,796,360 1,898,180 949,090

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