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Atlas › Integer Profiles › Node 3,262,575

3,262,575

3 × 52 × 41 × 1061
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 5^2 × 41 × 1061
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 5,530,896
Proper Divisor Sum 2,268,321
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #3262559 ← → #3262579

Radix Representation

Decimal 3262575
Binary 1100011100100001101111 (22 bits)
Octal 0o14344157
Hexadecimal 0x31C86F

Divisor Catalog (24)

1 3 5 15 25 41 75 123 205 615 1,025 1,061 3,075 3,183 5,305 15,915 26,525 43,501 79,575 130,503 217,505 652,515 1,087,525 3,262,575

Collatz Trajectory (239 steps to reach 1)

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

3,262,575 9,787,726 4,893,863 14,681,590 7,340,795 22,022,386 11,011,193 33,033,580 16,516,790 8,258,395 24,775,186 12,387,593 37,162,780 18,581,390 9,290,695 27,872,086 13,936,043 41,808,130 20,904,065 62,712,196 31,356,098 15,678,049 47,034,148 23,517,074 11,758,537 35,275,612 17,637,806 8,818,903 26,456,710 13,228,355 39,685,066 19,842,533 59,527,600 29,763,800 14,881,900 7,440,950 3,720,475 11,161,426 5,580,713 16,742,140 8,371,070 4,185,535 12,556,606 6,278,303 18,834,910 9,417,455 28,252,366 14,126,183 42,378,550 21,189,275 63,567,826 31,783,913 95,351,740 47,675,870 23,837,935 71,513,806 35,756,903 107,270,710 53,635,355 160,906,066

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