4,006,275

3 × 5² × 7 × 13 × 587

4,006,275 is odd and not a perfect square. Its factorization is 3 × 5^2 × 7 × 13 × 587 and its 48 divisors sum to 8,166,144.

Prime Factor Structure

Factorization String 3 × 5^2 × 7 × 13 × 587

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 8,166,144

Proper Divisor Sum 4,159,869

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #4006273 ← → #4006307

Radix Representation

Decimal	4006275
Binary	1111010010000110000011 (22 bits)
Octal	0o17220603
Hexadecimal	0x3D2183

Divisor Catalog (48)

1 3 5 7 13 15 21 25 35 39 65 75 91 105 175 195 273 325 455 525 587 975 1,365 1,761 2,275 2,935 4,109 6,825 7,631 8,805 12,327 14,675 20,545 22,893 38,155 44,025 53,417 61,635 102,725 114,465 160,251 190,775 267,085 308,175 572,325 801,255 1,335,425 4,006,275

Collatz Trajectory (115 steps to reach 1)

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

4,006,275 12,018,826 6,009,413 18,028,240 9,014,120 4,507,060 2,253,530 1,126,765 3,380,296 1,690,148 845,074 422,537 1,267,612 633,806 316,903 950,710 475,355 1,426,066 713,033 2,139,100 1,069,550 534,775 1,604,326 802,163 2,406,490 1,203,245 3,609,736 1,804,868 902,434 451,217 1,353,652 676,826 338,413 1,015,240 507,620 253,810 126,905 380,716 190,358 95,179 285,538 142,769 428,308 214,154 107,077 321,232 160,616 80,308 40,154 20,077 60,232 30,116 15,058 7,529 22,588 11,294 5,647 16,942 8,471 25,414

← Previous Integer #4,006,274 Browse Full Index Next Integer #4,006,276 →